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UNIVERSITErTSBIBLIOTHEEK GENT 




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P. GASPARIS SCHOTTI 

REGISCURl ANI E SOCIE' 

TATEJESU, 

Olim in Panormicano Sidlias, nunc in Herbipa- 

liuno Fraaoonias Gy^mnafio ejutdem Sodeutft J E s u 
MaiuKfeos Profeflbris 

MAGIA UNIVERS A- 

LISNATUR^ET 

ARTIS, 

Sive 

'B(conMts ndtHraUfm & artificialmm rermnfiientid; 
ai^m ^ fer 'Vdnam affUcationem aBhmm eum f^^w^ ddmi» 
r sMdM nm effi^tmm ^e0jtadd, Mkdftgrum^Mvemkiitm 
w m e cuia , MvtrmhumMnavaa ujkt. 



OPUS Q.UADRIPARTITUM 

P«n oo&dnet Optica, 1 1. AcoulHca, I H Machcnutidi» 

IV.Phyaca. 

SmffUrmm SfkemenfimtemVrrfaitkiohiter^emiitimSfW^ 
mm^feeMUmfrMtqmimexftme, . 

%McUnuHaeredum Joannis Godepkidi Schon* 
"irETTB&fBibliopoLFraiicofiiiteoC 

MSKBIPOLI 

ttwiilrTiiT TT- • I r^" '^ji; u r^-iTTiliinlrnfiii 




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JtePRW^rrf C DO M IN 6 ' ' 

PHILIPEp 

IM P E R I A L I S EC C L 6 S 

frAMBERGENSIS EPISC0P6, S.R 

tMPEim PftlNCIPI. . ■ * 

T)omtfl9 meo ClmefitijpmQ, 

iRtis; & Natur^ Magiam, ; 
thoc eft , Scienti;arum p. 
_ mmum apiccm > Artium 
florcm, occultoru lcr utatricem, 
mir^bSjiim pfFaJricem ^cuia^ 
omnes , omnes famulantur fcien^ 
tias^CclfitudinrTu^, PrincepsIl- 

^2 LVSTRIS- 




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LVSTRissiME,pfferrcaudeo , quo- 
niam iiii a NomineTuo ^endo- 
rcm fimul ac patrociqium quscro* 
iVeri^imum eft^ ^^l^f^* tamctfi 
ex^fepulcfaerrintos, pulchritudi* 
nisq; omnisfootes 8c cau£a%, nullo 
decowkfttfeerc, ttffi tvxiMosiin^ 
fin^y^lj^QQcifuatvagienteSj. fo- 
yeatqueexceptos, HincnuUare- 
gia pompa pratorum Iridem^ rp. 
fespurpurafcereccmimus , nulio 
palldre yiolias hitere,nulIbicando- 
re albicareiilia^cqterasquehorto- 
rumgemmas» pculorumdelicias, 
nifi LvciSventrfteaccdflerit- Eft 




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tias rcKquas , quod intcr ignobt 
liora entia colom ; cfi fiio ipfe nd^ 
xnine perfe commendabiIi5,Cutti 
prc^tar cximianracftibKnicmre- 
ram notitiam^quam mcnti inge- 
rit, tum proprtcr incre^bifcm ac 
Kmpidifeiraam, qtmmfcRfibtfi; pa- 
rit, voluptatem,dunreapatrat o:.' 
pera , quai Yiti« httmiriaS dmncis^ 
fupcrare putantur ; pf^bfcr tim fir 
Seribentis accecfat ingenium,do- 
dbina, i^yH claritas, nomini^fem^ 
ae- fplcndc^. At quoniam ijs mc 
dotibmdeflitutum vidco^ mctr-' 
totimeo ^ neineahscc', ijtiamluci 
pubKc» expono, intcncbrisdelU 

** j tcfcati 

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DEOICATIO. 

wimu niNommisTuiluceradio. 
que iU^^ljy. Q^are necTumi^ 
m^ iu^^^ Princ£p§, CuC' 
cenfebis - titc :a^j^^^ me c^^is^ 
quam infmiul^Jbit , ii cam ad Tq 
defero,Tuiqiif^^j:^9is.fplend^ 

ri,Tuo pa,trocinio conimittoXu^^ 
cjEM ipfi q uaero;quid ni aSoLE ? Pa- 
tronumewpto,? currJtvoxi Uttera-r 
toyum F AVTOR^M? Accipeigitur 
aieobfcuras hkfce meas lucubra. 
tioncs, patereq; utquodaTepof 
funt^ Tui Nominis claritate illu- 
ftretur, Tuoprptcganturfavore. 
Vale, pRi N Illvstrissime, 
Ecclpfias Rpmaniqvlmperij 

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meincplu^ y vve Jta yoyctHer- 



REVEItEKpiSSIMiB^ 

Celsitvoims Tym 

m 

■ ' ' ■ ' . • ^ ' ;"' 

K .... 



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F A ' C :V -L T A S 

\ ^ ■ ■ fuperiori8Provinciam,Au&>rif5idla. 

PETRU& pj&UMJEJt 

ProvinciiSp S^l^lr^s fSiu WicnifopcrioA. 

^SocieMu SAcerdote^tres €$nulem Soeiet4tk 
SactrdoteSiqmlnisUconmi^mfuit^rei^i^ 
tg inlucem edifofe fro^averihti factdtaUiuAisab 
Admodum Revereitdo ^atrcGofjvittol^k^l GcL 
fteraU comMmticatA csmedimuf ^ vttadtm tyfit 
tnandeturfiitaiii^quosfertinet^videhitttr, ^lnqwh 
rumfidem has Htteras mattu nopra fidfiriftas^ (f 
nofiro mumim dediit^ Herbifol, j.^nu 




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R.P.ftpyiidalis^Socictatis JKii pcf Rhcfii 

ruperioris Provjnciaai,Bibliopobe fa£b. 

PETRUS DEUMER 

ProvtAcialit S o«i I T A T I f J« s u Rheai 
niperioris. 

C\Vm exiMatuLuoSacraCi^reiKMajefiatu omnihfu ii 
^finguUt TyfografhM^lSihli^foits, ac aliu ^uamcunque 
kratim negotiationem exercentUfMjerio pfmiterque inhtbea* 
tmr/te fnk^uam Uhros uDos aSoc liT at.is Naftra Tatri*- 
imeba^emiie^njitutimfofierumedendis^nhaS^ti.lmper^, 
Kegnorum , 'Domineoruni Sua Ct^eu Majefi«is ^Htredita^ 
riarumpuesJmihdUcrvechura^ereautformiiJhtiH ttito^fin 
infartertcudere^^elaltoremdeniiUnmitmeiaut alAi etiaHt 
imfir^os ddducereynjendere^ ^ cUfirahere^cUim fiufoli^i c(- 
srafufradtSlorum Patrum confinfim actefitmonium , audea*^ 
wlprafiffua^ tgo^TsTfLVs DtvuEt. Socitr HTit 
Jesv fer'Rheni fitferioris Proyinciam Pnr>mcia!Ut ,<conceda 
Haereaibus JosHints Go^efri<bSch6nvetterij&r»ibtfm« 
fM fttmftilnts excudendi^P. ^ASfARisScitoTti ^ So» 
ciMTATt Jesv Partem t. Magiat Univerlalis Nacurse 
3c Arot. Itt fuorumfidem hoceu tefimonium ^mattu -noftri 
fiUfiriftum , jtmtitum dsBre ^obtiimts, Herhifdi 

PetruiDeui&en 

L*S. 

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ART1& KATVkM^ 



Nobile p^t (bciet judicionisj^mor !;* 
iBftuat Af^sibUndo<^ premi t fub pe<%re flaminat»» 

Etpetiting«n.uUa(ideiitio(aiipUiik. 
Quin&ciem.NATURA»iiovo(^Iend6r^venu(bt|^ 

Atqueardetgratinai, rponfa pudicjvniarem.. 
£QrtutiataQ)anusSc«[OTTi3qua||ungitamaQtess, 
i EQecuQdumpanduntvfrb^^or^^tlioriJiiq^ 

<SicumUbiumrinenubefii^tb^tlkU9lwa^9 
Npminisa:temi gloria rara (^i^ 



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PROLOGUS ENCOMIA. 

S T I C U S 
ruit> L B C ro R E M. 
L E C T O 

Hic curiontad Theatrum pandicur» 
In quo tArs & Diatuxa. lucliint : 
5ed dum ludunt do^tsjindo^lis illudunlv 
Hiquiamillum ArtiMin^rvaldjBl^etir» . 
Quod fieriTident>6eri poffis ftupent : 
Maximus Ignorantix comes eft Uupor. 
Sed ade6 ar^um^ft ArtiscumNatiiraconnubiumi 
Ut,qui ignolcit Artem> Natuf am yix agnolcat. 
Nec Ars ullaeflet/ ntG eflet Natura ; 
Natura tamen in multisle non proderer> 
Nifi ppodirent muhae Arte» : 
ANkt^raliquidem Arshabet, qudd nalcatur j 
'Qu,6j^oIaiturNatura,habetab.Arte: 
' ntraatteriplusdebet^ 
QhP^ ergototjamannoscum ArteNaturaparturiit» 
ISub ter felicibus aufpiciis 
Ter maximihoc Isedulo Viri> 

P. ATHAlStASII KtRCHERr, 

E.SocietatejESU{ 
{yii^ in P^C^iinis Mathc&Miticit Maadmls 

Maximi iQfhyficis} 

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QiM add Maturaeiecreta aceedi^,, I 
iQttas hum^nuntprpp^ Ipg^tiovexceduntr 
Maximt m linguarum pcritia 9 
^i,j^as alij nunquam audierunt,omiket loquttur:.' 
Pdljrgloitoram PiLi M v^dicercnr, 
Si Secundum Icirem? 
Hunc vero Pol/glbttorum Phaenix jureatidir», 
<«^i (btii» 8c anusaudet^ 
Quodreli<)ui defperant , 
Vigtmiquatuor ling^ai & n6(Ie,& Ib<^ui^ 
Ht o^agitmirerif, 
Uot^ libgui$-& firientiitunumhominem capi po(I<^, 

^^m totabuno lihguas^&tentiasf X 
/ Jamin^Pbeatrofaocenitiatr. 

€>b(letricante> 

P: GASPARE SgHOTTa; 

IJermaxtmt A th a-n a s u R i r c h e k LDiicipulor 
Quem Rtgts •Curiaih Franciaorietitali genuit^ 
HertnpoiltaiuPallas excepiti . 
So ci E T A s JUs u adoptavit,^ , * 
Siciliapropeeducavitji, . . 
RDfflaperfecii^ 
MiMicTeduGem Eoot-JuHana Um^erfftas^ 

Audit&miratur- 
Ilif A tii Rr^ tr T' A R^'i S' C birs u lir U li$ 
Bt £^udet^eKtanttll6 oltttr,tahtoxnnrfxnore^ 
Tiiiitam,nili^dituixr.. - 

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Diim docet t^uaijexcittr 

M A (j^ I A H 

Slnedoibxledpir, iinehnpoftuniiinpotil^ 
^ QuiaAnNatimeliinitstnonegreaitiir»^ 
■ SubliocMatliematicaeKetpubiicat- 

INCYCLOPiEDEVTAv 

Pio luBitu (inrAn & Natanr 
tudit&iUudit;. , 
]bco8eilludeoti:mprim6fpe^b» * 
Xt ccce»pcu1i, dum vident, viddrefbnon videnr> 
Qui»ijotroffd4tr ' 
Verum cni1en(uum fa:pius,qu2khioCUl!s>> 

yelfoIaNaturaiiruditff 
(^idfiatilTcum Matura Arscolludarf^ 
1Inde|am pihgitfinecolore ihtneonit 
Jam multipiicat (ine la!t>ore in Po^edlHt ; > 
Sine fuco defbrmcm cblorat ih ^rmoiam $1 
F6rmo(am(iheatroreiIef6rmat:- ^ - 
Quam prius Helenam pinxit; 
S&eerroi»tibi Velut Tifipjionem exfaibetr 
Nlemelins litem ^^in Paria dilremtii^» > 
Venetem ihter 8c Pal^dem. . 
Hancducem I^qUere». 
Bt^uae A^ellct magno labof e (oiiinxtt;> 
• Mbx coeUntj ^ 
^gse coniunxitydrflodantur: 



I 

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t)mniatamen|>fttc^t expun^, 
Quod vel OptfcaiT^Catapirica obfervaY. 

ih^oteufliy^unionvtcb^ 
HabetVlJiDc Artis^cuoiNaturacc^iugiot 
Ubi dum itiijiille&ibrmas Ars transformat, 
Btf||Uil9(i9C^utum fpedlatorem Metik^f^q^ii 
Deformatjdementaret, 
^ Nifi mentem Natura illuminareti^ 
^t finepcriculo fieri dQC^retj. 

J^eriipccuia . ''^^^ . ^ 
AbfentiBus pajam lcrlbitlinelitteeiQ 

' T«Ml2let^il|^ntibui^ 

. ,...ttiitfineignci , . \ 
^^^,.^..Kontamenri9cI^ 
ttt vel ex hoc agnofcas, 
" periculofam hanc Magiam l ^ 



Quas non odit LucE M. 
QuiiQ^^entem,quanquam cum /oco^horre^ 

* , Serioludentemattende; 
PfQmptaiib.iad nutum vertitur ScrevertiQ» 
:l)uiiWcre intendit*' •^'^5'^ 
;:"^"7"iSiirteitfafc^^ 
Quidquid parturiit, enitijbur 
4. V , Tam facili cventu , . 



LCVM 



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NuilLunquaqifaf^nfes^ pfQUai ta^oarcntffingenuere^ 

' • lUR^etv^liaaiuiiudacenr,. r 

Hincfe^ipiarp.^4^U^4WMiratur5 ' ' 
. i Etvel f^f/itB;nf)i>extiri „. j 
-'^/MfOun^ejcift^^ff fe4|ia9[i.^xc$t^ , , ^ -^^f 
Nain qalindo ifthorirae£accsukAi)i»it-^^ 
Ih.ho€:ciimiA'itecikmul>ioV&btjuvfeiMfae^ 
ExsraV-er edanir . . i 
' :fitfingiefloroiflrpt|ig^.*}, / 
Nbn tanieaniieniinir,ubi dSf^iirmetitur^ 
Inter ipfas a^oasiqis edheribbs rena(cens. 

Venentcapilllis-*. . : . . \ 

Alittftf&efiecxqjDODiiu^ififtApflr ' 
. «iec tdtiiisTheatiivosidi. .f/l-): '/' 
£t n alia noneiVtcertealtter^ft. 
Vide ns>dumttel^n (blis A<]uis ludit;: 

Q^asformunoninifukipropriiunilit^ 
kbtniiiefofmas a<^ait^^^nsfbm{af, flda d^tinat: 

NovusPfotcus.. 

• • • ' • ' ' i • ■'•'' ■ ■ ■' -i-^i . 

Sinc 



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Sinefulgore eam cll8iindic in raliei I 
\ ' .SIneignefie6ratin(leU»$ 

tncrtiiitextendit tn jacuu; innnbiscrtfpat tn pliivia% 
Sinecaloreaccenditin fulgara; 
^ine frigore^nglobat in grandtnei; 
St dum ficmdique amiatur,y bique taiaen anM<lir> - 
Quia innoxia &vic .* 
Mam^pbtatilNaturam Ars docuit tmAosttAfWBJ^ 
Etrero mirandum, 
Legi^ yciperej^me aflueta cft praBcip|er e .' 
Adiiutum Artif paret^cuius^ voto omnia Arsjparat. 
Natam renim oamium promaconda> 
Conditutero fiio difcoloresliqttorei^ 
Jttliente Aiteeadem ^ fifiula promi^ 
Nimcpiirpi»eiim,nttaccaadiduni» 
Nunc ho8,nBnf llloi^ 
Ver^multiparens. 
Limftariieper Artemdocet, non immutaiif 
J3iilgi^Qnxx>rrigi;elev!afi,nottdepravari. ' 
AqtamrbiMe^lpnereviniini^ > 
Nec Natttras ianubae» nec Artis viduKoputeft : 
Bft ver6 NtfTiW^ cum ^« 
' Maricatab 
'%attiiaterflft>flerileiiungatttur an fbecund^ 
HDcinliiniTheatrali^quiafibiplacetScaliis» 
Plaufiimcupic; 
£t uc certiui obtitteac^ip& adornac^ 

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Tubae animantur 9c tlb^ 
EiintqueitipUufomcaiioriimoMiccvolucrtt. , 
E v<^crumnimilaM^ 
Fertur ad kureileviflimut auraefoauf, 
Acre fpiiaiite; 
Qui taneii,uti per aiuraf oritMr>per aimt moxemoritiir j 
NamTrttoniftPanifilatuaf, niuntt<|ueaniiiiantet 
Acr vocalet reddit^ non vitalet : 
Nunquam uni omnia conceffa. 
Sptritnm quidem A<{r,quo vitaaiiat ducitur,largiturA 
Vcruffl, dum A<)u« eum frangit ad melodiam» 
Spiritum (imul emittunt> & amittunr« 
' Sfcfuatdivitiatoculif,attribiitdelttiat, 
Tam fiiufloconnubio natat 

Natura monftrat» 
Et domi natat kice donat 
Totiut Orbit: 
' Ut^quodUrb^Orbitcapiit,)a^&laudai^ 
Orbit totut tn hoc Theatro Urbit ^e^ct^ 
Et applaudat. 



ttt BLEN- 



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ELENCHUS TITU- 

Pro(£Mium & Syiropus pnmjc Pams. a 

Ll B £ R Jvj PAQgEM I A LJ[S, 

Sivc dc Prqlegomciiis in Uiiivcmm jNatfiw^ MagiiTU 2 

C«A'P,Vf o|i|^ri$A I03P\ ; n : r:/ ; 

I L Dc Magiae gaiuiiixi:oq5ptionc, qiio id tcmjjorc, «jiupusvc raaum Au- 
aoribus:^^' ' ^7 ' - II 

III. DcZoiitialfaietpipiinisils^ 14 

IV. DcMagix univcrfiuv^iunp^xiivi^ 

ficialcm, & Proh!l)itami " * * . i8 

V. DcMagiaNaturalifculSi^ffiajClflfljbrf^i)^ 
VL DcMi^ia Artifici|)iirfjy|g^rB^^ 

numcratis. .^ - ?.. " . 

V I I. Dc Ma^a illicita,dusc|ifcfnfiisfperiebu5,& figois. 

VIII. I)tdBk^usc]UDsMa^^Kr&aan^^ 30 

I X. Dc nuidiStfttyhus Ms^ o^pfl^porpm fi^ ^ . 34 

X. Dc ijs^qux polRint^ nbn polnTpiu cmccrc Magi opc Daritioniiift. * 5^ 
X L Dc Magia^gyptiorum, aHorumquc popiilorum ftridim indicata. 44 
XILDcrotadivinatoriajEgyptiorum, & Hcbrxonim , & dcAlcftriomantki 



Graecorum. 



L I B.ER I» 



IDfOpticisPnelufionibus, quibus Mttgi.x Ontic2fundamenta«q[>Ucant(tf. 
Pr^lusio L Ophthalmica, Deoculiltruduraacpartibus. 
Articulus 
I. Partcs oculi generatim. 



f4 

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IV* Sclcrotcs,&Comca» • . ^ *. ^ .,^^5 1.;: ni-o;-! ;f | 

V.- Cboroi<ks,&tIvca. r^ruiui/iUMjt* .^ v d / : 

Yf. Rctina,&Aranca. ..^^ . .^M^h ^ 

VII. AqocusHumor. : 'irjilX 

VllLCrjrftaliinusHumor. . - , - .. r : : .'ni/.i..» '.i: J>i^J«U 

IX VitrcusHumor. . ' j> : 3.^^./.^ :.M:V^.iiiff 

X. Axlnata,&MuftjjIi. ^ . ^ix . .o^: ^ *qO .VI oi^uj#¥S 
2L Shuspar^umoculi. .oti^ roifHf 

X(!^BMr^cuita2^opdtai4niB}cvuiM^ / 6i 

f^JBi^usio 11. Adinobolica. Dcoculiobic^Ojciusqucratipff^^ 6j 

PROFOSlTtO.^ ..t , . -^:, . .'i^y^, r-^,;ai..:.;> j; 

IL Tam fasci<ia, qium colorataiUg|^«Mlr4«)q)9^^ 

iqilas%ctictvif4)i|c«:4f*pci^ OaCi .>i:Mii\n^ / o i ?. - 
III. Luuiettpiafoii4itiff^ctoOibmp^ii^ 69 
IV» Spcdcsviiibilcsp||b£lipntcxo|nn^ 



VI; Lumcn,&lpccics,dr«^uaquci*y^^ ibid. 

dcsintra^hasram propagauonisint9)gi)inaic4j[um^^ 

Tffi. K^dij alumiiio(b& colorato profufijafij xquidiftan^a^f/j^^ 

in divcrfeabfccaiint. . ^ . ^ 

Xs': DqKmlcntia lutninis& Ipecienim a cotporeluininoio & cok>c}.to^on eft 
dmtiuspafcvcrent. u'..<;i^,., .] . •]■' '^**^» 

&^Ucato,dircaa»ir»ooe. ..^,;, ., 7J 

yVi^m t rvr ^"^ 



Fjtiftiutio JIL Idcalis. De<>cubiimili^u^^^np4<;K^ 

: diifsAtiksobiiq6^primi^ 74 
F1.0J10MT10 

L jpcMiifibikftwlMi^ 75 

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II. Vitroconvexoforammiii^mo^edesredi^ ^ 

Itl^ Noiuiulk ciixa hoc &edaculuinnotare. ' r- * iUiL: 

IV^' NoamiBacirca Titratorasiiaiija&runocare.. ^9 

V! Specie&inTer£iserigei^» . ' ^ 

Vl. Afiteripecieserigere/\ / 80 

yiEQuidfitpiduraiSaind^i^u^ Zt 

VnL(^omo<bfiathxcpi&uralhdiartai,e^ ibi<t 

F^>fcLusro IV. QpdcaJ3cvifmie>^modoviclendu 85. 

pROPOSITtb^ 

L ^ Phamomeno» % €f ck y aufr ih |xiitit obrciuiim iiMrpmiflarum tfpMeft vi- 
fioim. 

IL Vifiononfitpere]ctranufrionem>redper 84 
HI. Ra<^ vifitatiesileta(!S^^ 

retina.^ 87 

I^iCLusio y. Stichiotica. Deppti«tprtflUcae%poAefibus ScElemca- 
' m. ift. ' Cfeotinef Hypoticfes^ndeGini ^ loa 

' L i B E R llt. 

Z>e Magia. Aapicxphotica^iivcifeai^aiM ifnagiiM0l(<kfixmatioine Ki^nr^ 
• tid4edH>^^ . . .. I 10« 

pAfiS L DeAnttnorphofioMC2MivedtDe6^^ 

gincnii perradiosdireAos. 1 ^ ' 

(C ap«^t L Degeometricis imapnum^diefe^fhatiMifa^ 
^ ; . mpJmisiicftis* • : ^ i ^ Aidt 

fk'icM-AT>A«.^ . 

£ l^^gerebia^iem^mtf^ iffaiieir(air4 
mola9exaiiisver& lociinionihoia^<]pari^ 

poteft. ■ '[ -i>'^ V \6t 

HU Pingcre eanArihihia^neth^ih^jila^ efili^eaQno loccvapparcat 

tormoiayqxal^vcrolocisminime. « ^ ' ' 105 

Elt rH%areimag^netiifin^^Uh^^ 

dotniagDUonci^ttadhratocircumrcriptibilis. jotf, 
iV« DefanmreimagineminpkuMHtft^cenbln^ 

"tbt]rpofit^9&versec|in4^vdinseiqualiSb ^ ,108 

V» AfeetimagtnesdcfbhmrejSefimulayicarum 

namin^care. , : . • loy 

C^fUT IL. Dcmcdiahtca iiottiii^mifa d itfeifli ftUo nrin plaais igdis# lu 



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TITttLORUII. 

h IxiIbuiiicmumMeibpticui^ delincaiubs acdcfcNV 

niaii(lasapttim»piaeparare* iix 
IK Isisa^nesiDpiajiisredis<lifliparepcr[un^^ iis^ 
IIU Aliterperiumen&umbramdifripareimaginesin 114 

IV. Radioopticoperima^nemadplatiumdiK^toidem ibid. 

V. DiiSpareinKig^xiemiApianisDcrfil^ 

Caput III. De imaginum aefi>rmatione ac refi>rmatione in pjtamhUlH^ 
conyesus^&concavis. , iitf 

?AAGM ATIA 

L Dc&rmarempyramideconvexa>cuiusba(isqua^atajimafi^ 

tolocoviiaj^areatprotocypQfiniilis^acvelutiAi^^ iid 
IL DeniododiflW^diimafimestnpyramideplicatiG. 118 

cuncpie nacrum. 119 
^V. I^ffipateima^nfiminpyramideconcaya» qpae ex ceitopuni^ yiia appa- 
• rcatplanaj &protbt7po(rmilis. m 
Alk)nimenx>raudetegpreia4eform^^ 

&concavis: / X14 

VL DeCbcmareimagines m pjnramidibusconvexis & concavisqooccuiRjue&^ 

deium><ni2in<&bafi&irr^ulari^ il6 
Vy.Mechanict (kfbnnareimaginesinpyranudiBuscG«ivexis&concavi ity 
C A PUT IV. Dcim^inumdiilipationibusin con& convexis&concavis. u8 

?RA&MATIA ' 

L Piiigercinconocohveioimagit^^quavifiex^ertopunAo:^^^ 

& prototypo (imilis. 118 

IL IHii^cceinxoiiaconcav6imaginem,quatnona{^^ 

mafiquo. . 

UL MccJaoice depngere i^naginem in conis conyexis & concavis* 131 

Ca p II t V** ^ ima^um difTipatione ac recolle£iione ih afits quibufein^ 
qioepiaiustmaximeveroininterruptis. i^^i 

VaAGMATlA 

L imagm«4aplanisiittcirqpds ita pingeie» utacceflu verreccinicomponivd 
hcerarivideantur^ &nbnm^iexcenoIocofbrmo&appareant. 1^1 
lliw3B,|^biis q^ibnibmq^ei etiamimem^s pi&uram ita diiTipare^ur vix ab« 

ecaiotiocaripo(!]t,iiifiexcenoroco« 135 
C APUX V I- De imaginum difltpatione m muns & pavimentis longi/nmisj 

eaaiie,utextrad<ncrminatumfocumalfK:£t«afiud^^ 138 

rHACMATIA 

L Ck««Klikiproiic|^€in^uroslon^u^ 1 quae^cxiblb deter-^ 

ttt i ' romata 



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inmatolocov]de2(ncur>ci^ 

I h Mechanice expreflam coloribus in tabella effigiem in lon^iinmb mtirisspa* 
vimentis , fomicibus , & quibusciuiquefupemciebus >et2am inaK]uaHbuSy 
defbmure> utprocuiex allignatopimao inlatusalpcfta, opticc feforme- 
tur. 159. Acprim6qiudeinpervclumMefopticum.'ibid. Secundoper 
Portulam Diu-ori. 141. TertibperpraxinMagnani. t^i 

Caput VI (• De Anamorphofi feu Dobffnatione imaginum inplanisftm- 
tb,intcrcifis,&plicatis. I^p 

PRACMATIA 

]« Ima§ineniinpIanoftriat6itadepi2}gere,utinunofitu appareat, inalterover^ 

nihilvidcattir. • . ^ 

1 1. Inplariis fulcatis,& plicatUibus depingcrc imagincs,ut fpcdatac ck uno latere 

unam reddantibnham, eralio aliam. ' 
IIL Incadem tabuiafUisobJu^d«rc]faspingercimagincs,quxiA6nni^ 

vcrfb fitu apparcant. , •^^ 

P A S 1 1. Dc Anamorphofi Catoptrica , Cvc dc rdbnnationc imSiginuin 

perradiosreflcxos^fcuperlgccula. ^ - ijj 

tAPUT I. DcanamorphoficatoptricapccJ^ecuIapkha. ijl^. 

l^RACMATIA - , 

L ipingere in plano aliquo imac^nem,qu2 monftio(a apparcat , vifit verb in 




moCi,quando nequc ima^o,neque ipcculum eft quadratum. ' i 5^ 

II I. Imajgincm in planis intercifis &ftriatisdcfonnatam, pcrplanum ipeculi\m 

retormarc. ij9 
Caput II. Dc Anamorphoficatoptrfcapcf ^culacylindricaconvcxa. io3 
Vracmatia . ' , 

h Imafflncm in cylindrica fupcrficic rt&i formatam, inplanohorizblrttili tkk 
^ dcfonnarc, ac pcr cylindricum fpeailum reformare mechanic?!^. j6o 
11. Gcometrice defomiare imaginem in plano, qua? in ^cctilo cylindra^ccore-* 

formau apparcat. i<f£ 
ilL Alitcr deformareiiiia^Hcinlnplano, eandciAquerefbrmarcllpeculocylin- 

d^ico convexo. ' 16,1 

IV. Adhuc aHtcreandem deforitiationcm acrefbrmationempd-cyHndricuW 

ij)cculum gcometricc perficcre. . ' 

Caput HL De Anamorphofi Catoptrica pcr Ipcculaconica&pianaangn- 

laria« i6i 
Pracmatia 

IipagineminpIanod^nnarc,qua!in conic^ 169 

ILImagi* 



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TITULO.RUM. 

]L jrnag^nem divtfain,per^culum f^anum duQruiTilatcnun in auguluifii<4^ 
dum coeui^tium) coUigq:e. ibi^ 

VIBER ly. 

Dc Magia Paraftatica j fwc de prodigiQlis ieprsfentaaonibus rcruin a Natum 
&Artc. 170 

C A pu T 1. Dc Paraftafi Natura^ fcu dc prodfgiofis rcprsefentationibus aNal 
turalaftis. - ' ^ 172, 

?iR AST ASIS r ^ . 

L Dc MorganaRbcgiftoruminFrcto Mainertind>.alfis<)uc %e(fWs JMIitcrapi^ 
&iccinvaporolb aeredfi£Hs. * 13 

IL Dc variis imagtnibus a Natura pi<5bice in hpiclibus,p!anti$q; eflbnmtis. 181 
lll^ De fortuita rcrurareprxfentationc in mbntibus & faxis. ' iSS 

1 4 p u T 11. Dc Paraftaii Artis^ icu Jc miris repraefcmJitionibus ab ArtrfafHs* 
t*At,4fTAS1S , ' 'i C*^^ 

I. &)c£lrum aeieumMoy^jinx Rhcginoi-um aemulum > aitifidos^ cxhioerVt 
ibid. 

1 L Rupesin montibus ita accommodare, JU-boresplantasqueinviAeis &hor-* 
tisartificiosaquadam cuIturSitadifponcre, ut c conflitutolococertamfi-^ 
guram referant , extra ver^ iHumlocum nihil fimile cxhibcant. • i ^ 

ni, Colamnasina:deitadiiJ>onerc,utproculre6beappareant,^ 
. fip^tri ac df ffringi videantur , & horrorcm inancmincutiant opticas Edladas 
ignoranti. 1^5 

IV. Pa^cciesinloaimoljfcunimimiTiiffasquidfibetr^rarfentar^ * 1^6 

V. Rcrum imagines in obfcuro Jdcp repiadchtare cand^arum lumine. 20 1 

VI. Reruniquanimlibctimagiiicsinfuqdooculircpraffftitare. ' lozi 
VI i Obie^ qu^liba in tenrt>ris exhibcre Ipcftands^ , omni prorfiis luminc»* 

■ duib«. ^ 205 
V!B,lfcacccnfolumihe in obfcuroloco^parcantierpentes pcr murumdifcur- 

■ rem£$« 205 
C X ? UT 4 It De variarum rerumparaftafl ex Joan Bapt.Porta, dliisque Au- 

^&mbu^arumqucDiacriTt 20IS 
T&ixsTAsis 

i IWawnwgcijtcam &limuDofamreddcre. ' 207 

H. ^aftanteshiminifinccapitibusvideantur,efficcre, ibia. 
"1 Iklmitiadftantcsgi^antmnfbrmiappaream 208 

IV. Utci|<BiWafmiiiavKicanturadftantiumcapit^ 2oy 

V. lJtuvispfcmundomiciIiumyideatur,efficere. ' ' ' 210 
IftikMnwplcmferpcntibusapparca^effic^ V 



VlUUt 



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E L E N C HUS 

VIl.lJkhoAiotriac^KahabcreTkteatiir. 4bkik 
VIILUthomincsinfoiiiuAngdonimap^^ xn 
D I A c R I s 1 s pratdidantin Ptfaftafnim. ' tiutc icqq. 

L I B E R V. 

PeMa^Chrptnaticia, (iTede exodcisrflfedilNis colonmi a Natura 8c Attepra* 
(bdisinpbntis^mineralibusyaaitnalibu!^^ ^ 2tt 

CiiROM ATISMUS 

I Ugaociaoclama^iamtnofnnegenusral^^ ii^ 

)1 AttCTarioicolofesiniloresinducerc. in 

in. Puipaitamrofimiextempoitcandii^nreclilere* ii$ 

IV. MineraHaTariiscolonbustingere. !t>iJL 

V» AnimsiiatingereTariiscolormus. tip 

VL DeChamorlrantesnTarioscoloreslettanfinntame, x^o 
VII Ut hominum lampadiinobicuro cubkuloadftanrium fkdes T«riis colori- 

busimburiTideaHturycfficere. 

Vm.FbmmasdiTeriiscdoribusringcre. ' 25 

- IX. ChartamTariiscoloribusm6reTurcicopmgere* i^j 

IL imadnes omni cobrum genere d^<^ arcano & now quodam 
czhiberev 

Imajpempingntyquxoculosadteibnper^quoamqueteTC 
inerloshabcat. 2^^^* 
Xn« Vultum, manus,capiSo% cobre aliquamdiudurabili tingere. 14^ 

L I B E R VL 

DcMa^ Catoptrica> iiTe deproc^^io&rerumezhibirioneper^iecuhu 144 
Paks I. DePrrlufiohibusCatoptricis. 

Pr L us i o I. De Definitionibus>&Hypothe(3>usCatoptricis. 24^ 

continctDcfiniaonesxx.Hypodic(cs. V. 
PRiftLusioIL DeProprietadbiis^omnibus^culiscomnmmibut. ij) 

continet Propofirioncsieu Proprictatcs.IX. 
Pn iC L us I o 1 1 1. Dc ipcculonim confcftionc. 26I. continct Pragmatxas. V. 
Pars II. DcTariisTariorum^^eculonimaHc^ioni^^ 

eorom opc exbibcndts. ^yt 
Stntacma I. DeSpcculispIansl 

Caput I. DeSpeciUonmpIanorumpropiji^^ jbid conrinetPtopo* 
(itioncsfeuProprictatcs. xiif. 

Pmfo- 



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T I TT U L O R © k. 

Pkopositio. 

1, Datp obic&oTaiamcin fpcculum, & punA^incidendar, inrcnircflocaiit 

quibusfolisconftitutooculo,videripGlfitobiei9:um. 281 
IL DatOioUedoiradiante, & oculo, a(Uignare in ^cidojJanopunfhilhro^ 

flexionis, ibii 
11 L Dato pm&o reflcxionis , & ocido , locum inidginis obicdi vifi intraplas» 

num Ipeculuminvenirc. 28z 
1 V« SpccaUimptaniim ita fitaarei, ut intuem nec &a, necobiediipeculo cxpoiU 

tij&afevifi, imagine visa,vidcat altcrius rei non yifeimagincm. ibid. 
V. Madbinam Catopmcam conftruere, in quahomolpecdumplariunMntu- 

ens vidcat vultum afini,bovis, accipitris, autcuiuscunqueanimalh. 285 
V L Aliter (peculum planum colbcare ita , ut repr^fcntet imagincmabinjpici-; 

entenonvilam. - 287 

YlL Unolpeculoplanorcprapfcntarcincubiculoea, quacextracubicii^^ 

dCibref^rifionevideriiionpoflumi 25^ 
VilL Duobusauttribuslpccdis planis rcpraefentare obiedumextracubiculton 

pofitum. ipi 
IX. Thcatrumcatoptricumefpcculisolanisfabricare. 2pa 
X Aliter thcatrumcatoptrioim conttruerc e ^culis plamt. 2 p j 

XL 4>«r<pe6ttvamGatoptria>-Arch*teaonica'l{^^ ^ 
XI L Dttorom folummodo planorum Ipeculorum opc rcm candcm muWpliQjr; 

revariismodis, • 2p5 

XI I U Ciftamcatoptt-icamcoDftruerCjinquacp 

emplafediibcantMr. ' ipg 

XIV. ConclavecsRoj>tricum, fcu Proteitheatrumconftruere. joj 

XV. MachinamentnmcatopmcumKirchcrianumconfti-ucre. 305^ 
XV L Gwo|4iila<mimcatopcricumconftr^ ^06 ^ 
X V I LSpeciun catoptricamreprxfcntarc. ibii 
XVllLPcrlp«ibi5e vitrcim in cabicnlo i^ncfentarc ea, qujc non furit in illo. j o^* 
XIX Duo Ipecula plana itaftatuerc , utinmcnsinimo vidcatimaginciiifuam 

YCiiicflmiMaakeroreccdentqn. 308 
X*X, Vcrbaalioquinillc^bilialegerein(peculoplano. jop 
XXL Ut quishominemvolantcm conlpiciat, opcduorum Ipcculorum plano- 

XXILT^ ^Mcaif andUodiriecte (cbpetum inmctampoft tergumponta« 511 
XXIU.Dorfimi & facicm fuam umul in codem Ipeculo plano videre. ibid. 
JQUV.CbnAercsia toctmiiproctildiintum proiicerelegendos>opc ipccuUpla- 
V- • ' ' * . . " ' jii 

St M T A c M A 1 1. De ipeculis ^h«ricis,tam convexis,quam coilcavis. 212 
CAPII r L Dc lp€culorum§)hafricorum divifione,magnitudine,ccntro,cUa-^ 
: tttt inctro, 

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B L E N C H a I 

metfOyalihqueadeafpedandbus. jt^ 
CAPUT it Denonnuuisipeculi convcxiiphanicipropmtatSMis, ficphx'* 

nomenis. 315^ 
CAf^UT IILDepro^gibrisconcaviipecufiiphaaidprapietatibu^ 

menis»atquejero:dibus« . 518 

Articulus L Pr€>prietatesieupbamomena^cuk>rumconcavorm^)£^ 

«ricorum« jiy. Continet Propofitiones. X L 

Articulus iL £ffe6us&opefatio&es^ari«i|^^ ^if' 

PrAGM ArTIA. 

L Pun£himin(;eiii&Miis^.dtinver(ionis iiBagmu(n»inconcavo%ecub^ixd>» 
co invenire. fi^ 
IL Oauuamaiora^^ecufeconcavoiphxrico-exhibcre^ ^ jitf 
IIL Utgladiusefpeculo^aliaqueobtei^egrediantur^&ini^^ 

. repenKleant>e£(;ere. ftj' 
rV. Hominemiaaertfu^enfiim^pedibusiuyitt^ 

cavo. iz9 
Species renim per &ramenmci]bicu]umobfammiintroinif& 
pefpeculiconcavi. ^ifr 
VL Calorem»fngus9VOcem,9calijikmlia,(peculpconcav^ 330- 
VIL Specula^curo &£ux acccos^vidmiio&a ea>.^k>ngifiifltKaiota^ 

VI I Ll^temam catmtricamope ^cuH concavi pncparare: 23x1 

IX. Nbdiiauainterdittin^locofobl^^ 

. 331 

X. ^cutoconca¥on0tasaficuiprociid(IUfitocKmifig^ «j^li' 

XL Pluicseiuf3em.rdiBiagiBCsq^cdocoocavoreprxientai^ . ibid.. 
SiTNTAeMA IIL DeygcuKsjCohimnarihuis&^conkis^^am coBfVfiiiyyiam'. 

concavi».. 31^ 
CAPHT L Dc cooveiorum^CQiforuBfccohmnaHiM^ &.cweorumjmo^ 

la^j&prc^rietatibiis.. ibid: 
CAPUTTL Dejniiabilibus effedilm^ecttkxiiai^^ 

daliumconvexounu 
FRbFOsiTio». 

UtnjppofnbilefTt , fpecuhim cofamnare verpyiamidale uo iw c ia nHalitcr 
fifU y utiotuens videat ia atre extra^eculumihiagpDeBimalMiw non vi- 
fe. 3^a 
IL Pro^iturpraxisIoaAnis&^mihcPortudo&^ ut 
neque vilUe > neque ^ecukun %edetur , ledimagpiola iacdbki^niedio 
feMukvideatuiv yxfi: 

ItLAk 



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T l TULO R. Vll 

AltifnaM Poitxproponittr, utoodb knago peodola in crfMciib^^eiH 

' 347 
C APUT IIL Dt coticavoram %eci|lonim columaariiitii 8c comconyn 

propriecatibas. j^g 
CAPUT IV» Deef!e(ftibas^culorumcoltimfuurhim9r^^ 

caronifli. 
Vropositio 

l Lna^es leu idola remm inaere penduta ope ^eculi cylifKlracei concan 
«M>erc, ibii 
m AM ratioiieper ^ecukimaginesinaerependentes ff[ 
IIL Specnlo concavo &plano{Imulima{piieqiin aetepemlulamomaiexpap* 
tce}dubere. 551 
MTAGMA IV*. Deipeculismetaraorphoticis/eutransformarivis, 35$ 
^Pkopositio 

£ &>ecQlaplana e^Ecere^qiiarfkieslumnuminvarioscoloresmutent» eas* 
demqucrugoiasoftcndant. jbuL 

IL %>ccuUe£cere,dua( lK>mimsikicmin^^ 

m^iumformisoftendant. ' 

IIL SpcaiIimpararc,quodhominis&demmtUemodttdefi^ \ 55^ 

I V. Sprailumquodplurcs£kcies fimul^unamretrdalteratfn > 6i yaridti^ratas 
cftoidat^ciEcere. 

V. X>uobus&ecuUsplanisfacicmKominisvariamofteiidere. $58 y 

VL Dudbus ^cttlis planis caput hominis dcorfum , pcdesfiuAmycrgentes 

cAcnderc. . 30 
VIL Planoi^caib&ciempi^riaminyaian^&i^ 

Mi. ^ 
y |IL Pcr &ecula conca?o-c<»tvcKa reprxjcntare miras hoinani vulms meta- 
* mofpbo£:$, ^o 
iJt Sfcpmmpig^^tn^e , quodocukiacadycHbpofkononiiiflunumcertum 

obfle6himolienckt>quodipitim tamenubifit,n6nvid^^ l6z 

Sjpculo fjaoo rctro eycavato idolun|fQras promincos » aliaquecxhibcre. 

L I B E R VII; 




ca,ihrede^>eculisoflx>riis,eonniqiiedfe£tii^ & 

5Tir<r*4i|cX I. De^>ecuIiscaiAicise|mei«im}8ede^fa«ricocoqcat70.365 
CJIPliTl(Ciiinsft>tWclfe(}ebeam^ieculacaufi^ iM. 



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•Propositio 

h. Radi) abKs <ia ii fe«m pcr centrnm fpeculiconcavi Sofi rQ(9:^t)ppofiti,&: m , 

idcmcentnmueflcftuntur-nonfittamcnuftioinilloccntfo. , 370 
I L Ra< ^S i ii w id k?m l^etuto Iphatico concavo, cadunt pnrtim 'ad fiHcm Aa- 

metri aequidiftanrisradiisincideritije,pai-timinfra,partimfiiprafinem. J7j 
1 1 L Radij Solis in Ipeculb fph^ico concavo , cadentcs in punfta a Ipcculi po- 

k) remotalatcrc hexagpni,reflcftunturad ipfiim fpcarli pofiim. ibicL 
IV* Radij Solis in (pcculo concavo, cadentes inpuaflia afpcaiUpolorcmota 

plusquimlatcre^hexagom^ ri?flediinturinfbpo!umfpj^^ $74 
V. Radij<Soiiscsulci|tQ$in^cuToconcavo fphamco inpnnfta a fpcculi pofo 

rcmotaIatereo(Stogoni,refleduntur pcrpendicularitcrfupcr axem fpccuii» 

^ VL In reflexionibus fpeculorum concavorum fphaericorum fiiTea rcflcxioms 

nnnqiiamaicenditufque ad quartam partcm diamctri fpcculi. 57^ 
Vll. SpeaitoconcavofphaericoignemacccndcreantcfpccuHim. - J77 

VILL 5pcculo4x>iicav<ifphffrico igncmnccendcrc poft fpcculum. 578 
I^fcRESsio Catoptrica 1. Utrum pofTibile fit, efficcrc utcombuftio fiatih 

centrofoccttKfphaericiconcavi. 373 
.DiGRissiO. Catoptrica 11 Utrum poffibirc fit , cflficcre f{)cculum fphanicum 

concavum,quodaddiftanuammillepafluumcomburat. 380 
JX. Concavo fpeculo irtu#^, aut loco a Solenoailluminato , accendcre.i- 
. /Bpcm*. • • 381 
Jfe. incenfionisrocumihfpeculoconcavofpharricoinvcnire. * }8i 

A«aq«mCMfoptfio*.caufli<^ ^hacricis concavls. ibid^ 

S Y N T A G M A 1 1. Dc fpcailo cauftico paraboiico , ciusque mira in urcndg effi^ 
.r cQifia. ' ' * ^ • * -* 3^^ 

liAPUT 1 Quidfitparabora,f:undefuamducatorWnem.' jgf 
CAtPJiXil. DepflrtA^deliftdationdirrplanoi ad fpcoiluiliuftoriumcon- 

flandum. ^ / jSif 

CAEIIT 111. DQaliomodopara6<>fica fcgmcntafbrmandi pro fpccufe caufK- 

cisadmagnamdiftanriam. jpj 
CAPU T l y . Data ?^r\ mi^a^o ^cuio x^rio fiituro , & data di- 

ftanria ctiam m*j&rmjypunfti uftorij a vcrrice fpecufi , parabolam dcfcijbc- 

fCAPUT V. IJe{ifafciDUofpccdorumparabolicorumcfFe(au,quieftuftio;& 
anficncaTOfrita^4jftant»mi^^ < * • ^ » ' ^^j. 
5 Y N T A G M A 1 1 1. Dc fp^irfqicaiiftico hypei&blico^ &d}ipriai. ' 40^ 
CAPUT 1. DefpeailocaiifticohypcrboHcojtaaw^tettxti/ 
./.O 4.otf* HabctPropo6iqBjc^^rL 

CAPUr 



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ClVl^^rfht 'iSWbttalo cadfficQ elliptico c<^«avo. - ; » rnm^U W 
SV^TAGMA m DefpcCTd»p!an«caoftic».- • .i^M0Ai/VJ9 

II pfira ^)ccuUp^jkiPi.4ifpc!pi E9fl'«nt, ut ultracenwmpccks awrtpomnt. 
StKT^cMA V. DcfpcculiscaufticisArchifhedlsfel^rocG/'') ; ^ 

f 1. QuiiAuaqresrd^.dcfpccdisA^^ 

5. 1 1 i; 'Ad quantamSRaijtiam Archimedis fpeculum mcencIiritMVes. 4*7 

^ lV..hjdftradcArcWdis&Proclifpeculisfenw^^^ 

Stntagma Vl.-DevariaCatoptro-c4ufticafuppeIkme«!afi«Aeas«**- 

J>RACMATiA I. LiAWempar^B6fiterf\ea<lffttiltrfiffic(Jlfe. I "'"•ij 
l'KA.cM*Ti4.II.P9<niI«>P>cw'^<^^»abolifo ^^*; 4» 

: LiB E R vlTt wt 

A P U T"» * - ' 

t DcrccMifitisaaCatoptrographiamKirchcriaiui^ «..^T ' , ^2 
i-' :„/:.«.;,.l»,»»».'rN»rt«ri*riorrat>IH4m. • • "i-.ij.u^JBp 



!!. Dclii 



Ut«cpW|m|nt liptionc in focculo per Ctto^o^Wif^ i^zp 

yLDck>i9k^4efcriptione,Catopffographicaarte^ " ' 'J» 

yfL I>ePU«««aaqUiimresCatoptricaartcproicipofl»«ti' 4J4 
St^f^i*A-rii- DcGaiopttograplusKirchOTanapc^ 

* ^ * * *aiow^pl3ampcr4glijg-6SW^l^^ ' 'Jj^* 
[A-ex^S^?rlum%K«^ 




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Utrdmadini^ ^ 
Syktagma IV. De^iecubloquent^fiudeEdiocatopmca» 444 

LIBBR IX 

X)cMagi4.X>ioptt:ica , firc deprodigiofis rcfra6lionum plixnomenis» atoiic eflfe- 
^aibus. ^450 
Stntagma 1 Aj^>aratusdioptricii$,pra5ci|iiiosdioptricaftcr^^ 

(e$>&proprietatescx{riicans» a^i 
ChLput / 
f , De Dcfinttbnibus dioptrids,reu temunis in Diojrtrica ufitads. 45^ 
1 1; Dc Hj^>odiefil>us Dioptricis,fcu PropofitiDmbus ab omnibus aJmiflis» 435 
II l Dc Vitrorum refiingentium figuris^proprictatibus nonnuUis. 45« 

-SrNTAGMAU. Paraftafisdioptrica,Gvcdererumpcrradiosrd&'a(9:osinaquis, 
( - &vitris,repraefentatione. 

C A F u T 1. Dc reprsffentatiQnc dioptrica pcr aquam. ibid. 

CfKASTASIS 

Iv Imaginem ita conQi^rc ,^utliydromantico artificio ex oodis fubducatur , & 
moxreducatuD ^ * ibid. 

II. i^^idi^>pu^ndc^ 

parcait& difpareant ^g^ 
ii^ Varia^fiaculaparvitiwspKalasaquiTJc^ ibij^ 
IV, Colorcs apparcntcs varibs anadafticc cxhibert per pKialam Vitrcam iqu$ 
'":t. plcnam. , '^^ 

Jridem ocr aqjwc guttulas inacrem^arfi« exh&cre, Ag^ 

VL SpccirfocoovcxointraaquamlimpidamimmerfoSolcmrepr^^ 

IV. . ttctt^eflrct. . _ ^g. 

CfiPnx ll DcdiqKttvar^nima ^ 

pAiRASTASis • 

Iridcmtrigonopriihutcvitrcocxlubcrc. 

jJJtci&iti^Umipwrf^ vc!litiunvideatiu-,efficcfc. ibid. 

Ill Tridemciraiiarcmuniusautpliuiumcpk>rumprocreare* '^gg 
ft)^ Ut totum cv|)icuU|m omni pretipfo b^de ornatum cpmparcat,dfficcrc:ibid» 
^fic liouifi ^ftdfciaow» obfcuf ato rcprarfcatarc l gto circumvolutione 
.i : . fiiicceiumfteuatuihrefcrat. ' ' 
VJL Utwhii^dpmpmnfKqucincolv^^ 

fiifi,efficcrc. -^g 

VII. Variaphafinatacolorigera inotlcurocondavircpr^^ ibid, 

VIIL I%^|{dftTO^^ . ;bi4^ 
Gubidilum|tfenum%uisuvarum^u(^ 

;^^iuiinatibct cahibcre* 4^5^ ^ \ X Vi- 



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7L Vittofoi 07(^0 pofycdrofcmuhicamexh^ ibiA. 
XL Vitropol^droimaghiesieupidurasvaridd^ 

470. ^ . . .. . [ 

. Tcm^ cr^£cei)tcm ac mobiiteui^^iijpililciUJiic 'Aiobiks^yt--' 
tmconcavis. . ibii* 

XIV. Jiicundafpe6bculaperipidllisrc|K^^ 47jt. 

XV. I^ciTftaiUnarepra^tareomniaaua^^ 474 
XV.i PilacryftaUinamultosiridcsrcprsekntare* ' 'JbiL 
Xni. CobottTftaHinounAriiscomtlSofemf^ . 47^, 
SimTACUA III. DciUuminariooc^&combu^onedioptticaperTit^ 

dia^iana corrora. 475 
Cafot L De cryftallinx (eu vitrear lentis» pite> afioramque corponim diaplu^- ' 
norumiBuminatione^&combuftioiic tbid. 

VftAGMATfA 

I. LentcconvcxaigncAW^ccendierc. 47<$^' 
IL Lenteconvcxano(%]remotaIoca iUumtnarc; . ^ ibict^ 

Hf. Ixiitecdnvcxano<9Mititempeftaepiftefamrcgerc ' 477 

IV. Ciyftaflitufnla^cyCndrOypyraniideJgnemacceni^ ibid' 

V. Akiifiibicum ea arte conftniere> ut fola lcntium & pilarym cryftallinarimiope^ 

imiofemin 4tftiBandb efiicadamdbtineat><pi^ignc.validp.^ 47^ 
VI ^hxrSvitreiiaquxpleiAigncmexcitare. A^p 
yih iMernm DiopcricamconflhiereyqaarinreinotacS^^ 

pcaiegcnda. ibid. 
VUI.Ma4uaamconftniere»qiixaddaumqusu^ h<»amignemmara fufd- 

teif€aaddksacceiidiat>pcra£toquc fkni^ 

ceafiM cxdnguat; 48^^ 
C*»«ir Detftaiiinatibiic pc r vibiMixfearrvftallumafaoraparte hypcroo^ 

SflMKt ' 4»i 

CAfttT III* Deuftiotie pervttrumfphanx>-EypeiboGcup>ckque€yfind^ 
uiniopec^cndo. 485: 

•ty^, L I B E H X. 

^nrr jSU L l>originc^Invem)oribusTclcfcopionji^ ^ 4SC^ 
CamIt 



^gT jifa pir C0iiiuitiniserigihcy eiusque AuSorc ibi<L 
^jP»WAmtt Afiroiiomic^taniMoiioculi^ quam Binoculi,origine > cius- 



45$ 
UlDc 



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1 \L Dc infigoiljiif h(>c );f^(^^Tddkopion^ Artifica^us. j^pf 

U J)eTclefcopiicommuijkcQnapofifl^ j^^jr^ 

I I I. ^dditur ratio nennuilorum c^ux in compofitionc ic ufuTclcfcopii com- 

- munisintervcniunt jo^ 

I V. Dc nova?c inin r^;umjex^ commune. 510; 

Pft AG M ATIA . 

Expcrimentum pantfi^pai^jp^ci^iJjc ^1%^ 

1 LL ittnam fiimantemin Machina panto-paraftatica cxkibcrc* 513 
ly. Pra?^iiQaQm<ya a rqa qo artificio cyhiberc> 514^ 
^oe(um> Sdlem , & fitclias , nubes f^iJi^s ^ aiiaqHe u^/^eorapraedi&o artificio ' 
exhiberc. f^t 
St^tagma lil. DeTel^opio AftronomicpJyfQ?^ulo,acBinoculo, 515^ 
Ga^ut . ' 

I, JQe Telefcopii AftronoiTiici Monoaili invcntioaq , & inventoribus» 

IL peientiumconvcjuurumpropopionc pro Tclefcopio Afti^onomico Mo- 

pe coUcjgiFiQyCjicotfyi^^ 511 
li^ DcBinoculitubifabrica&ulj^ - . trr; * ' • ' ' 

S:(KTAG^ir^ lYt^PQippp^yf^s^s^ pql^^fl^ Iqfttlb^ cryftailin}$ prq TcIg/ 
: fcopiis. * ^ . 527 

CaPUT : ^ . 

LDc ^ricap^liiurMin protarc^dU vijcrisconvexisiQufumTelefcopiortiii.j^ 
1 1^^ pe piQclo terendi vitrain patinis,ut in lcntes convcxas formcntur. , J29 

^YNTAGMA V. DcMicroitppHs^eormnqucmiravirtuteinrcnim 

I. DevariisMicrofcopiorBm ecn«ibus* ; ibicL 
J 1. De yirtute mirabili Microfa>p«rum > inrcrum naturalium occulta conftitu- 



PRO- 



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PROOEMIUM TOTIUS 

. OPERIS. 

De Occafione fcribendi,DivifiO" 

nc Opcris, Stylo,ac Mcthodo. 
OCCASIO SCRIBENDI. 

^Nv^wmeuacdiuturrm ferGermdniam 
I 'Xftramfuc^<jaOfa»tj,ltalidm, acSictlidmperegrma^ 
\ti0n^Mt^ ac ttt Mathcfi qud fubltcc^ qua prtvatim 
tralcttela frcqttcntihuntccupationilnut dcffchetUkfcmfer, ma- 
fnamcjfr «innium firc,l4obilium frafirttm,ac Trincifum,n(m ' 
Jaymum medoyfid Ftrerum eti/m doUrind, prudentid, rcrum 
exferietl^idsac dtgnitatc cenfiiautrum, erga cae difitplinas pro' 
^a^Bcm 3quamira,curiofa, abditOy dijulgicaftuattcna 
frmittw9t,acfraftant» yixenim^x/l/umindt^quicumali^ 
quo ifiarmet rerum gnaro^^it,aut exiUitufn^criptoconfiriem 
Sm tcchnajmata inf^xerit , nen centinuo difiendifiudio <«- 
cenfite in eitu fidtJctpUnam ai^tradiderit, aut traderc fvolue- 
rit^fiferaliai occupationes licmjfit, TcBie bttiue rcicH ( fvt 
ilM omi^am exempla) Koma nfntmfa^ KmanumqueSo' 
atcxtnnx^MCollcgium acAtbenaum ceieberrimum,ViritO' 
toOrhcnotiffimi Athaoaiii Rircheri fides ac domicilium, 
^uettdietmm ^Sanfatqi mirantur 'vtriuiqi incola, egoque 
tffiaiiqittt aeenerum ^atie^etuedem in re Lttterariaficiue^ffe- 
Sopi eumfiupm > animi deU£latione,qudm multideBrina 

ttttt iUtue 



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PR O 6e M I U M 

berrimo exhthet ex abduartm artium acfitentiarum frdjfcript» 
cofj^KU^Ao^ai pme aAnirattdat acaorant nuB» non temfom 
«iferfitttt lUuSirijfimiSydoSxinJlquiacdtgttitatetetiam Kegiitf, 
Eminttttijlfimityexteruaqueacwdigenisifuam muiti frrvaf 
timaiiliOiQfianttjfmft Ucot rebm aUfit oceupato, infiruaniM^ 
Trincifum ^aftrtim Filii,eovundem Prwctpum litteris huma^ 
nifjfmis commendati^Qn.fiae frttfluin natianes integras^tqufit 
miffim etiam Kamamm Ecclefiam '^niverfim redundante,. 
Similitm rerum oMfiendarum ., aup rvidendarum defiderio 
-nondHbitaruntmultt-fracbtrijfimil^irkolimy nondtthrtantho*- 
i^thngifftmasfitfiiperopeMgrtnattoneSydeyorareqftasvttmeb» 
kfitai, fecuniarMm cwnulos profiinderg iniis > fua duUc^e , adi 
ej^&umdeik^endui. 

i£ac cum fiirem diupumi, edo0i/e exfmentia in ilStd 
fracifuefiudtummukorumannorum jjfatiotttcubuii^vtquid^ 
quid inquafvtFfiientsadl arteyquidqutdin^xmiyorftfiatttra 
rMrnmy abditum , faradoxum^^odigiofitmi^rmracub fimile- 
ittcurr^et in auret^inoculos^Jinjnenten^five apttd ScriPtoresea»- 
rumrerum^fifeapuddoQoMroSiexpertosqueArtificeSiMtta*' 
rim^examinaremittn ^axin redtgeremyeorumi^ue caufam in*' 
iptirerem , ^vt non. tantumfiirem qua Mdiceramyfid (st fiirt.' 
me fitrem-t & aitoSyfim f^ocaifio firrett infirt$erem, 

^piebamadbuc nxehementer^ e^^aroaliquem qui ea^ qua: 
Jixi,nott fiiummethodiceac ordinatimifidfikttttfice ettam^^vt 
SchoUioquutttur^ traderet; Tlacebant^ *Albertue Magnuty. 
-€jarnehue Jgr/ppa^Joaattes.BaptifiaPorta,f{teronymue{ari- 

diwt//^ 

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TOTI.U5 OPERIS, 
immy Hiem»jmtu.Qfn€pm , Antmtm MiT^Udm , ftofmk 
Lem^h9n, HiMrMulm,Scbrvcn^ , al» 

jiutkiyftuargumentumiBudfr^cUre cwn UudetraBartmti 
di^Ucebat tameu inaltquihm, fuod 'z/eris admifieant falfa, 
fuferpitiopi, obfiana, noxiaii» omnibmferetquodnullam eo- 
rumfu^etradunt ^autaux^vIUm adfignent rationem ^ cau- 
fim, eorum bouo, qui nonmtdd contenti praxi, rerumcaupu, 
fuodJoSlos dccet, reqmrant, Sferayi diu,fid frufira^ lucem 
n/t rcMderet Magia Natura^ fitfrd citati V.Athaaa/it Kjrche- 
riiSodeuuenoHra, quam multos ante annosin Arte Magns 
hucis t3 Zhnbra fromifit:hmus enim njindoSrina fitmma^ 
acrejudicium,docendi(y finbendt methodm exqutfita, diu- 
turnainfitferexferientia, cum ferj^Sia mihi ejjenti fire j^on 
dttbitaham quinpaimam prariperet omnihm, quotquot ea de > 
r^fcripferunt,acmeam,aliorumquefittmreBiniueret, Contigit 
intergm'^ e Stcilta Romam tnyitarer ah eodem Virodo^iffl» 
nno,atquein fiudiorum eim confortium admttterer, Cuicum 
jfem meam ac defiderium aperutffem , negayit otium fibifrppe^ 
tere, altts graytorihm fiudiis dtfiraUo in Oedipo tunc, fSpo- 
Hea in Mundo Subterraneo coNfiribendo , fvt fidem datam 
fihere fojpt. Deprompfit tamen confifiirn ideam operis a fe 
quotrdam concepti rudtter delineatam , 'voUtitque me euram 
eim Operis confiribendt atque eden^fitfiipere^pem promittens 
9mvem,requeipsdexhtbens, qud a^oce inHruHioneyqud li" 
hit in eum finem d fi comparatis , qud denique ?(otte Ad- 
^z/erfardt 5 qtta omnia Uberaliter mthi communicayit. Labo~ 
rjuedumnonfitit diu^^vt currentem ^onte incitaret, Sedoccu» 
fst/09ef alta ^vix dum inceptum curfom tnterrupere, nec refa- 

ttttt 2 mcndi 



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P R OOE 141 OM 
metfdf otitm d^in *zm^i$am ^donec itker tmJm , 4/»qtmmi 
mMQrmMefim noBm fmtp» ^dom^jffindMUkprmreap 
fimendtmii 

"DIVISIO VPERIS. 

MAgiam /^/f«r Natunilcm , qttam firibereotim occs^e" 
tam,ftyio profi^utnu/tcammut mth */?,BcncvolcLe- 
€^or (^n/ti/sdem te 'X>erbit alloquar^ quibusin 'Prafatione 
Mchaniae mea Hjdraulico' fneyi^atica fim allQcutMs)e ^tri 
j)oGli^mi:,totojue Orbe nottjfmi AthanafitKircheri Ltbrti^ 
aua typo excufis , qukexaratu manu coUe5lam j at^ue ex omnt- 
IttietwdemtAdrverfirtttacSchediafitatis ea dere conpriftiij^ 
necnonexaltisfrobatarumAuSioritmmoHumentiStnofiuqu^ 
iwvontis^ fdefimma^farijiHeJiudtQ concinnatam , frcgrits^ue 
f^atiorum exferimentis fiabilttam } infi^er<jjariis dt^urftbwt 
ac no^^is rationibM ^onderatamj^erl^tcuuque demonfi-ationi^ 
btu fibinde confimatam : tUam /n^uam Magtam Natura-^ 
Jcm* cutus in Catalogo Ltbrorumpomac apradtSio doBiffimfi 
Juffore edendorum Magnettca Arti demo Koma nufer fiperSk 
mea edita afpofio fea menttanm. Ofus ertti <vti ioco cttata 
dixijingetts,muitt^uetaborif acfiud^ynecmtnitsrecondtta re-^ 
rum cum naturaltum^tum artefaBarum refertum fitentta. *Z>jk 
«vifim eritinPartes^atuoK 

Prima Pars conttnebtt 0ptit4t hoceff^ea ^ua adoftfim 
ffifisqueobieBumfie^ant» as^uein O^ttcif^Catoftricu^Vio^ 
ftricts , 'Parafiattcu , ChrQmattcu, Catoftro- Dtoftro^ caufli* 
eisy Catoftroiagicts,aituqHe/imtltbtesfiientit4} arttbtts^fraxi-^ 
hus^fecretisy eU rarumifortentofumi^' fipra ^vuigi caftumjm 
M dae^u i mifiantuF radtu ab •culoi[eit refixis,pu rif^a^lis^ 



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TOTIUS OPERIS. 

AUera Pars Atoufii€4 comfleUetur, hoceBjaqiutaddtt^ 
ihttmyfi amiitm objc^lmnfminentiex^c^Ait^ttenvtiher'^ 
fim %4ttditiu ^Soniiyocu hnmanail/smMnuey Mttficaque 
ceconom^tamfperaitaiogiamfiread aconemtamn/ifiieac^fio» 
ntSfCctoru^mmtnat/fecierumjue iHorttms rariora tamen filttm^ 
modoiminttsqtteolma,t^ qaa pth praxin maxtme Mqtte ofera^ 
tieaemcadttnt. 

Tcrtia Pirs ^athematica frofiret yfiilicet Arithmetica^ 
Ceometrtca, Afironomica, Statica^ fiydrattUcOy *Tneymattca^ 
Tyrokolieat Gnomonica,Stegano^afhtcay Cryftoiogica, Hy^ 
irografhica,C^(atttica,aIiaqtte mttlta,fid rartora tantitm^jtt^ 
amdioroiacmirabiliorayfleraqtte tamen frafltca,^q»afitlf 
httmanam eadimt indttfiriam. 

Quarta dentque Pari Vhyfica dahity^ qttidqaidin 
tttra mirttm,faradoxttm , ac fortentofitm occarrerit yCtttttsmodi 
fitnt S^agneticajSymf^hica,Thyfiognomicay MetaUica, 'Bo- 
tanica, Stichiottca^ Medica,Meteorologica,Secretaanimaltttm, 
iafidmmyi^altainnttmera^ 

Vides heUor, qttantui mthi ad firthendttm aferiatar 
camfuti 'vides qaam reconditt ^ late exforreSli Natura ^ 
^drtu recejpttadettndt. Merito tgttur Magiam Uni verfalem 
Naturae & Anhaffel/amus Ofusnofirttm. Ordinu ac Diyi- 
fiams htsfue caufiu habeo duas. •Akera eB, quod rariora 
ej^c^ ad quatuor tUa cafita reyqfari factle ac meritoque'- 
4ttt s altera, quad fiifrd laudatus •Athanafius^ircherusad 
tailem qttaruorcafita fire omttiayquafirtffitha^enuSyfirtbet-^ 
^impofierum OEO dante ,mira atque exotkareyocar^erit t 
Qftu:a esim tradit in arte Magna Lucis ^ Vmbra j Acattfiicoi 

tMtt j ^Ar» 



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P R O OE M I U M 
Jffe Magmt tenfim ir Diffom i zMathemattfg in 'vtrofHt 
Ofere,i» Prtmitiu f/§r9graphsa Catoptrica,m ArteMagnuica^ 
in ItineKorio Extattco , aliuqut Operibus qua fiquentw j Phy-^ 
fica in eadem MagaeticaArte^ i» Mimdo Suhterraneo quem 
jammagnuincrmeMtumolitury in OferefiMmcomfaraht\x^ 
quem Oedipum ^gyptiacum,^ OUujfcum Tamphdium 
pripfit. 

Stylus ac Methodus. 

STylut eritfinon qui Materia (Juhlimi ac pkSia) omnijut 
Le^oriffidtemquimihiSeriptorifiliitque Leflorihm, quos 
injhruere cupio, con^uit, hoc eSi, faciUtyplanuSt i£ pro 'virihui 
meis clarus : nittdidum enimfiahrofitm, cothurnit incedentem, 
necnovi,necfinojpm,h(cadhiherem, nemultaper fi, obmate- 
riararitatem abftrufit obfiurarem ampUus ,acijelutitenebrii 
obyolyerem. Sapequidem,fueor , adhibeo n/erba graca , aut 
eigracisfontibuspetita, quia -velmetius, njelbreyitts , ueleU-^ 
gantiiis rem explicanti '■vbi^ue tamen eorundem 'verborum 
interpretationem latinam addo fitb^cio , ne opus fit , <vt Le- 
Bormests Calepimtm adlatus habeat^quod necejfariumejfiin 
^uorundam AuSlorum leSlione nonnuUt conqueruntur. 

In Mathematieis Artificialibus non nudas praxes prO" 
pono,fedfuumplerumqitheortst ettam bcumattribuo,nuncin 
Tomi cuiusyis principto , nunc in capite Librorum, uunc iu 
eorundem decurfu. ha famen qua ad theoriam jfeSlant, or- 
ditno/itque pertraSloy '■vt quibus ea non arrident, omittere que- 
4nt, f3 nihilominiis praxes intelltgere. In Phyficis etiam re_ 
rum atque effeUuum mirabilium catifiu,pro ingenij meimodu^ 
fo^adfi^nare^vfpiurimmmntmittam* Nemi, 



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TOTItlS OPERIS. 

j^minem *yeln;ertml» UeUn mtend^ : Siemtu ii04p 
fiSavi cotrveBere meeffmum ffufit^fme^vethvt^aculeit^ 
fine farcapnujfinecohtentionefietyfiliiwverttatu indt^md^t 
acdefindendardefideri». 

Feratantitm , experimefaHrpro^a , operf iffi exhikita, 
aMtfoflte fidtem anMinOp^ehoc fitndamentu nondiffw^ 
m$a, in midtmnafirami fitperfimofit noxta am mn ama^ 
gam^iamconfittatuifgiattJiy attttta froferamy mt offmfioni 
foffintejfinemim, Scio mitltos tanta thferetione hiros legerf, 
^nanta e-fhrihttt meila afet\ at fiio etiam araneot ad Ugen^ 
dum adrepere. Scto^edicorttmhhrot non fharmaca tan^tm 
0* antidota,fidn>ettena ettam proponere,non irt noceant,fitt 
'vt medeantiiri,atttenignorO'non filosMachaottesac*PodaU>' 
rtos ad lepttdum aecedere,fid Ctreesetiam ac Thejptlae atttUy 
»voio ilUcereiferverfi atumi homines, ^ut tjtta noxa ayertendti 
eaufa firipta fmt,tn aitorum noxam conrmttmt^ Si qua tamete 
eutfttpeifittiofa^aut impia, aut deiiraahahu ^vulgata cenfite- 
ropropenenda (^c^nfutandtjprafirtim ex Mahreorum (^ Py^ 
thagorem^ttm (ahdla , ex %thinorum debrijs, uEgyptiorum fit^ 
ftrSlitionihtUyaUarumGentiumimpietatihtu, MagorumFa- 
tutrgteorttm fraudihtuyid ea 'verhorttm moderatiotte fitciamf . 
qita f^trum Beligiofim,qui omttthtu cauttmfz^eiitfdecet. Oh"- 
^ana, ^qtta n/el^vmhram ohfianitatu hahent ^nea longe - 
t^adem atfingam: experientia enim doeet qttotidiatia, multos^ 
^afenm Juivenes,<(s' quihtu purgatut.non e£2 attimtu, taUtttm 
nerumltSione, 'vhicunque^t^ quacunqtu occafionepropofiroi- 
wm^ftfamma pernUiemtrahi,^ rtunam fimpitemati^ ^ares 

'vebemem^ 



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PROOEMIUM TOTiUS OPERIS. 

^efrementtr loMeU Sebyrerttermm , ^ F^um AmfUffimim 
(jewpim VhtUfftm fiarSidrfinm NmmhergfojemPath- 
<imfitjf dtmhxc firiho,Coafilem meritiflmwntqm in materia 
tam fvanay qitam in Deliciu Fhyfico-Mathematicit fumma 
cum lauJefertraSant^ah ommahfimentnarrattoiee, "^erbo 
^tiam,qmbm luventntt fi^oulahmreaBManribueofindMt' 
Um, antctmra bem^atimfeccandt eccafio darifolfit, Con- 
trd maicrem mefi^ ctremn^fli^nem defidero tn nonnuUit 
Jdagis Natmalis Scriftaribne, qni obfiana ^uadam licentius 
^Htimfart0,firiftie/ms immifiientiqnodrtferumeJle, nemi- 
nminficioiitnrumiarbitrere^eoslef^it, 

Stfrolixior Mliqt^fmn;tdehor,^emamdabmt, Omni- 
^finbo,etiamMatbematicesfrincifiu minime infiruSiii. 
£Am irg»multa,mof^aqueexMatbefios fintibtiefintfeH-' 
4a,nmo non ifidtt, ipta <-virbo 'vnieo Mathematicu infitna* 
^foffm, *vixdeem aliu exfUcoHfoJfi, tffHaloantem hn^ 
^,fudm eibfinrm 'videri, 

Jf/ac fitnt qua in Oferu fvefiibnlo LeGlori meo indicanda 
fut0fi. Nimdiihnafaventeam^aflenierueiitinjUtumfro^ 
n/thnmnr^ Natime ^ Artit inexhaufios tbefiutros aditurii 

fitxitfniconatum in^irarvtt D E VS^^-vtmercibm 
enufitcofiofifmtt fortum filteifme 
rtfetamm. 



UhOlJE 

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ET ARTIS 

P A R S L 

OPTICA, 

' IN X. LIBROS DIGESTAi 

uibus ea ( cpx ad Vifum, 

viuisq; objedum fpedant , atqup 

in Opt icis, Catoptricis, Dioptricis, Parafta- 

tidijChromaticis, Catoptro- Dioptro- Caufticis, Cato- 
pcrologici5,aIiisquefinr)iIibusfcientiis, artibus,praxibus,recretis, 
eft rarufn,porteAtoruin,6c fiipra vulgi captum/eu ea diredis p^- 
cipiantur radiis ab oculo, feu reflexis, feii refra&is, tnetbodici ac 
dilucidi pertraAantur i yariisque, raris, acmintisob- 
tMs praxibus & experimentb fta- 
biliuncur. 

T 

A Pro^ 



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Partis I. 



PROOEMIUM ETSYNO- 

^ • PSIS PRIM.^ PARTIS. 



5»W^qui appe%ig, jurc iDcritiflimo id fa- 
cere mihi videmur. £nim vero vt Gne lu- 
minedcX^EOIoquinec debemus,necpoC> 
fumus^Pythagora etiam «dftipulante > ita^ 
de rcrum bumaiadrum pcrfcrutationc^» de 
Naturaumiltis & magnis mtracutis, dc cae- 
lo & rcbusGsfeftibus^dcGderumfuiiiicro» 
^mamitudine,^guraxonvcr(ioae, fineOpti- 
tesiplendorc aciumine loqui faaudquaqui 
wos po^ffcaut dcbere/apicntcr prontiiittavit 
Pena m fua deufuOptices Plraefatione^ Sin- 
fuk quidem (cieocMeadFcIiquamm mteHt* 
geatiam aliquid conferunt » una tamen O- 
pticae(l:><fuicc«*ecranim communts fplen- 
dor dici potcft , qua^ folis inftar cxteris lu- 
cem impcrtitur , 4c renim in Naturac majc- 
ftatcabditarumttubcmdilpeUit» Qux vcra 




Pcicen omnium mix natursif refuni 
pedcrutantur dilcip^narum faocm 




Pena fuse acd(>Sccitato>Ioco prolecjuicur. 
Jam ficaotacftOpcices univcrfxdignitasac- 
que exceHenaa,cpiiddeeadiccaiti5 Oprices 
Parce» qux quidqurct infetcncia illa rarun), 
rccondicuQx , prodigiofum, ac paradbxum 
e/l-^atqued communinonaHorum cancum* 
modo hominum,(ed Opcicorumetiam fen- 
fu ac ufu remotum , rimacur » acqueadalio- 
lam utilicatcm ac deledacionem , cum in^ 
gend incuentium ftupore , producic in me> 
diumwS^appcrTari meric6 potcftMapaopficay^ni^^Hh 
hoccIlsPptic«,tocius apcx&mcduBaKCcr-'**^^' 
j^nefcbucrufnuila fciencia,uUaarsalia,tot 
oculbrum oblcdamcnca, cocarrismiracula 
proferac,^toc Nacurx pandat miracuIa,quoc 
ha:.c Optica,feu dire<3:oefficicnda acquefpe- 
dandaradiofinc, feureflexaperl|)ecula,teu 
infra&o per vicra & aquas. M erico ergo ab 
Opcicis inchoamus kM^tam noftram Natu- 
rdm. OicendorumbaeceftoSxnopfis. 

A * SY. 



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4 ftrH» t; * 

SYNOPSIS 

.Eorum qu« prinia Parte Magi« Natura- 
iis contmentur. 

^uiddeoftica MagUmSiria^atuMlu^l^artetmS^a^ 
refiatuimHi i ^mbM pramimmtu Ltbrum mte^um 

Trelegomend in.^Magiam iftamrvniyerjam comfleSlentem^ 

HlmwergoPrtma-ParttsMagi^e 

L, I B E R L T>rooemiaUt, eH, quogrim^t^um Magi^t fi^ 
ptficatum frim^ , deinde corruptionu eitudem tempora d 
•AuSiores indagamurinj^rias Magia diyifiones agermm$^ 
tam tiaturaUm, quam Artifieiahm definimus , '■variK' 
miusiim efifhu /ummatim, emmtramm. lllicita deindei 
magm^ariafigna, 'x/artasqueegeBm Deemomtm opeprodu^ 
Sos affirimm j qua, cr quo modo ^ eorundem auxtlto fiertque^ 
ant, determinamm* Hac omnid eo confilio in Operis tottm 
'Vtfitbulo tra&amm^m 'Tjideat LeSfory tjuam probemm,quam 
reprobmiaMagtam,hcitamqMe ab tUijntadtfieriiat... 

LlfiER If. 'PralufQrimen.ffuooptioaMagi^fitnU' 
mentaexpttcamus. Qnit^et pralufiones qutnque* Ophtal- 
micam^deocuii firuRura ^partibms ^€itmboitMm,de 
mints calorts radiatione •^ldealem de ocult fimilitudine^mo- 
doquf tntrpmittendi ^ecies 'yifibtles rerum tn locUm^obfiurmm 
\§^f6ramcn exigmtm-y bfttedfn^dcvtfionemodoque fviden^ 



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Pro^inhini. f 
a > Stichioticam , de Axtomatu ^ ^ Byj^o^^ui ofUciti 

LlfiER IH. •Anxmoffhoticus efi ^ qm de arcarM 
una^num deformatione ac reformationeagimmy tam ex Opti^ 
ccsyquitm exCatoptricesfraflripto^ferradios in^uamtamdi^ 
reRoSy qnam refkxos^ idque in omnii generis fuperfictehuSy re-^ 
Ru^curvUj^nterctJisyflaniSyComcis^ fyramidaUhus^ mahtlihwy 
fixii^re^$Uarshtirytrreg$$Urthjis^quantumyis etiam ma^is^fl^ 
qmmtumyis dtfcontinuatis. ht his omnihus ita depingere ac 
dif^pare imagines^fets geometrice^pu mechantce^docemus^ut 
aliundcyqudm exdeterminato loco tnJfeEiayappareantprototy^ 
pss fiMdiflimtlhma-^^dcprorfi^ deformes^ qua tamen reforman^ 
tuT^ex loco ac funSlo certo inf^ictantur^ aut ^eculis certo fitm 
di^ofitis ohjicia^tur.. ^ ^ 

L I B £ R 1 V# Tarafiaticus eH^frvede frodigiofsre^ 
frafintationihus rerumdT^atura t£ Arte ftSltSi quem inf^ 
nmnjarise ae frorfus adffuf^hiles reprafentationes dSatura 
foQ^ m derey in mcntihusy in rufihus^ lafidthus^ ftantisy aUiS" 
querebus afferuntur. Et ne Artem Natura yincere njtdea* 
UsTyfademettam^ f£magis frodtgiofayfaltemmagis conctnne ac 
jucmm^yperArtem reprafentare d^cemsts. 

l B £ «R thromaticut eB ^exhthetque ^varios ^ 
flane exoticMJiffe^us colorumy d Natura zsr ah Arte produSfos 
mimsacrahhus, flantis^ antmalthus^ alttsque rehus.Jeu ^ereac 
per/cveranter^feH ^4ir^«/^r tahtim ac ^elut per oculorum iC- 

A j; ' LiBER 



4 fiurtit 1« 

IL# IB E R VI» (atoftricus fft, innumeTMiy eoiqm 
5»«v MagicM^ rerum exhwitiones fer^ecuU c9n»mi,fmfU» 
m- i&Lfittt^Jak concav4, conyexa, cyUndricay conica , mtxta f 
tdmtiMf '^varictatt catofitrMorum inyenti»num , metamorfho- 
fiumyjmathinammyfhAnomemrumyttt non immerito Proteus 
CaUifftricMS bic laher affeUmifoJh» In eo Theoriacum Pra» 
xi^itAamf^gitur, ut ilUus cumhac ajociatio LeSiori EucU- 
diMiunt demonprationum Qtaro lumen cum deU^atione^fi- 
pm&i^dtl^atiQnemfinetetiebruafferrefo^t ita enimordif 
nariiimm ommayita tradammfinfula^ ut nuda Praxes fim 
Theoria intdSgi.aqite fofftnt , etfi non aqui fiiemifice com- 



LlBER VII. Catoftro- caufticus eH , a^tqm dt 
f^cuHtmfioriit, eorumqm ^eSibus mirie,^' *tfi* multtfhci 
aq^ueacfrodtgufiiodeouthorumfifeculorum arcanum, omni» ' 
um.qua infottus Magia Naturalis ambitu continentur^ maxi~ 
mumhaberinon tnjuriafoffi». 'Vocet amem hic Ltber frir- 
mo. I^sulorum caufitcorum formam muhifhcem ; deindje effe"- 
Smiacomburendof quos tamen tta extomyUtnonin inpnt^ 
tam^cinexoticamnimis difiantiam,quod imferite nonnttUi 
faciumtrvu illa extendatur, 

LlBETR VIII. e!t Catoftrob^m ^ Catoftro" 
grafhicm, inqmarcanosfrodimmmodos fer fjmulanon tmtm. 
tiimficretOyfidi^abfintitm Uquendi atfmfirthendi^fimtiqm 
arttpciumfondimmfigmM qumcunqm fer^cularefrafin» 
tandi, adeoqm fiiffitm abfintibm frafintem confiamnS^ 

P4«. 



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Jfmklulm tufttms ixhlems, 
LlBER IX* 

umm fkmomaut stifttt arcaw* tt^fUcitt, ttoa omttU ^wnlimr, 
pimf^mm9iQM€aftdnos^euAnt,fm^atmSy cwttn-^ 
gtmti cmmstkoJtftmt^^cniruc acytKHtsdkiemaiiott m mfmi tr 

euUi mir0 trigoito n/itreo frip»aUy crypallo^m foiyairo ex* 
hAiti jftfiactik i iffittuiMtioms (3r combtfionet dioftricit 
tm^mi(^mc^0iicitres,oecineficaciores, 

mbffofiimTH^i^Micrijctf^d^rtimtMi^ 
^otMmhfitirk 'BtnoctilifrattresTiibfi^m-^ 

^ ^ctmoftionemfrofonity mU ctmExferimrmo nrm 

^mHthfsrmaticoiVMthanafio Ktrchert tMmi^Kmtifm 
' ' tm Tmtm-fmifiiticmm ^ackmam fitSricmt 



, :^Utfimtmid IX immenfit Oftica fuftUeatle filigenda 
JMfjWwif •' fhra dddert foterit Curiofits heBof^fimni 
ntffir^l^idittemfore,jt*l> E V S^xntamdederit ^»»iff(f» 
IhtcinterimadI>Bl ittriam,jtlmmiifmmtkts-' 




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LIBER PRIMUS 

PROOEMIALIS. 

De Prolegomenis in uni ver iam 

Naturx&ArrisMagiam. ^ 

; P R O OE M l U M' , ; 

}^ ^gtJihbmifn m tantumafud muitat his 
1 etiarn ttm^oribUs verJum^JtcdumfUtto 
^audito hoYrefia?tt dures ^ ammy ^fi 
i/y^^ljP^^^wtffii^^/» inCtgmtum con^itu ' 
vant^explodendum confeflim^cjiammis devovendum 
judicerff: Qhafi^*tjtr^m*^m<mmi^^uQdinma^ 
ab aUqmhm, vertitur yjum : quafi ver^ ideo dtiofmi' 
Jum aUrum,qttoetprodilidnis altquorum vitio fiat in" 
^rum(ntum;idei>ahe!mfnandummel^ quddnonnulfo^ 
'Tum intemferantia iti fe&ffVanftat amaritiemp Hac 
imperitadicamney anreligioja aliquorum pfrfiiofiQ^ 
perpiexum dtu metenuit, num prafentt Operi Magias 
ndmen pr^figerem » vt initiojtatueram ; an ^Uttdmt- 
hH£MdioJumv9cahuiHmfithftiti4erem» Et vi^uod res 




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Prolegomena.- p 
tfifafear^ rffhci akq$*and9 Efigraphen Magia^, emf 
que loco Thaumaturgum Phyfico-jMathcma- 

ticum repojui; mox tamen , quoniam (^ih (atalogo 
Liyrorum^cujus fuframentiQnemfecii^aT.Atha^ 
nafio Khrchero pofihacedenclorum0 in ^Mechanica 
mejt I-^ibaulico-pnevmaticA T^rdoquio , Magiaj 
Naturalis titulofromijfum hoc Opw inpgnrveram 
noltuab amiquarecederemente, Vtautem fi^rupti- » 
Ittf omnis Le&ori meo ^fi quis cum eo accedtt , exima- 
mr^prfmum hunc Librumtoti nofiroOpcri ftr^ii^ 
tere iwluiy in eoque frimAVum/verum^acgenuinum 
Ma^^fijgmficatum , Magixque variatacceptio^ 
nes ac itivifiones exflanare » hrvifer tamen ^ fine 
mmodtea Ja^orum^ atque au^oritatum c&acerva-Auafm 
tume, Plura quivult, legat Vifioriam Kele^, deV^^^^ 

C:^C4gf4,Mcclmam 2.Par£n, Pcrcrium likde^'^ 
Magia, Francifcum PkixtDlib./.dePrdnotion. 
JuliiiinCxrarcm Bulcngcrum//^./ .^^0^^^ 

gisV PbiloRx, in vita Qy^poUonq y Sixtum Sc- " 
fiQ(||e|D Hb. z. Biblioth.K curiofarum artium lihri^ 

Pineiaaxi lih^MrehHtSalontonis^ Dclrium libj. 

DtJfJi^*Magicaru^,(fal*t>s^amflures, 

B CA- 



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lo Faitis I. Libtr I* 

CAPUT PRIMUKt 

T)€ Magias frimAvafignifcatione^ 

MiV^^rM f^^^f^^ K^gid yocabulom (G ve Perficum kifit j.ChaldaicunK 
fp^fit^ l^^l^ P yc.HiD.Hieron, placetmcap.zJ DanieKs,cum Dleris- 
fiP^!^ M ^ ^S^^ Scripconbus i fire grxcum> ut aW^ eK 
TjtoB ^ pr^rnagva (uaimpa(]donehoQorjRCttm fuifle^nonfe- 
ctis ac Sophklarun , AftrologiHrum , alrorumque fimtUcuki i noH 
obfcuris mulcarum Au6lof um comprobatur teftimoniis. Signl- 
ficabat enint (ummamcr^ajtg^ ac naturahs fapientiae perfeaio** 
» iiei(fr,a€ fi^pftmunt t^cSfearura fcientkrum apicem , hot 
eft>£acultaten>resmifas& inufitatas, ratione quadAmoccultxAc 
aliis ignota, perficiendi, applicando , ut fcEoIa; loquuntur Philo^ 
(bphorimi>aAivapdfeivi5>artequadampaucfsmamfefta. lAdem 
M^pfm- proiftdeO)f4(^reraiit» E plcrisq|ue credimus Scriptorrbus^apudl 
Perfasprac€ipu^&Chalda;os,qui ProphetaiapudHcbraros,Phi- 
^ lolbphiapua GiAcos> SapientesapudLatinos,Sacerdotesapucl 
.^^yptios , BrachmaBesapud Indos , Gymnofophiftacapud eoll- 
dem&; apud AethiopesJDruida?apudGaltos,recc>Qdftiorilcien- 
tiapfacditiapudalios. Certeabomnlaevo, ficetiamnum^apuil 
CjermaQos naftros > Magi non alio appeilan tur nomine (fi vfun» 
iiomiBisfpe^e»,nonabufum)quam &pientum,W(^ctf(ni;utu 
i^ueab antiquifiiAiis^Germaiiia? incolts ,!Hoe nepotibus, accepraEL 
interpretatrone. VcrilCmc ergp C^r/^iWtL^/^j^^ 
fi>phi« occultas cap: Magic^^ inquit rfacuba^foPeftatisfbfrim^ 
$m»f0Sy aUiJpmis plena myfieriisy frofandi£imamrirum(icretiffimA^' 
tmttcorUjemfUtionemyfiatMram^fot^nmm.quatftatemy^^ 
vilrtutemy tatim^ ISTaturs co^itionem oomfleUitur rdr. tfucmcda rer 
interfedifftrunty d^ef^uomodacan^uoniMnt^nosimfirititri hsnc nurabiles^ 
offeStuspios ffoducensy vniendo viriutes rtrum fer^fRcationrmea^ 
rum^dd invitem y adpafaffk oangrmntia , tnferiora fliferinrumdotp- 
im ac virtutibui fafpm cofulam atque marifans. Hm ferfeBiffimm 
^~^a^csenturxhsu:attii^r^n&m^rh^ bdscsteniquatotim^ 



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Prolegdmetia. n 

Qu« cum ita fint, fateri haud abnuo.quod pleritj} crcdont, MMgu >«; 
k PerGs lcu Chaldxis M4^ 6c Magix vocabulum (umpfiffeorigi »«» ^«r- 
Dem , vel ab ipfis reoarcencis mundt poft Cataclyfinum incuna--^' 
buUs-.aquibusdeindeadnationesaliastradudlum^ utproprium 
{acroramAntiftitibus,R.egumqudmoderatoribus. Solebante* 
nim Perfx Mtgu nomen trifaucre non tam humanarum , quilni 
d!rvioarum,acpoliticarumrerum,adcultumdivinum Regnique 
^beriaationem peMHiientium , e)ccellenti peritiae, uti ex fkt»nis 
AlctbladecoIligttur,ubiait://fW%'^(^f«yif»w^r^»/,^«^^ 
fint, fapienti^imuf, jufijpmus, temperMti£imu« , Mttfiiefdrtifim'^ 
^uiiwr i. ^uorum prmnsVAzgxs^mdocet , attjueideminftitutaReffd. 
«bi Mugis Oeorum cultum fignificat , uti cx contextu liquet. lif- MttH-n^ 
<fcm quacubr R egiam prolem , quam in fpem regni educare vo- tMbMntur 
3ebant,cum pueritiam excefierat.erudiendam tradebant Perfx. o*^*^ 
HiDcipfiPerfarum, ac fiibindealiarumOrientaliumnatioaum^^*'' 
Reges oliro Af4^/ vocabantor , T»///# tcfte io Ift>. de Divioat. ubi 
oenif ocm apud Perfas Regio potiri faftigio potuifie /cribtt , qut 
^tnamUffcam Denimbibifletfdentiam. Ce/lrM/ qi|oqueJ?W/W- 
nm Iib. 9. cap. 13. cxStrahneic Pofidtni» refcrt , Parthorumfui% 
<lupIexcoDciUum,Nobilium,&09f<^«mMr, & exvtroqucftiiffe 
it^eseledos. NecaliadecaufaRegestrcsabOrienteadChri. 
fti nati incUnabuIa duce ftelU dudi, Ma^ appcIIStur, qu4m qu6d 
Rcges cftent,ae proindefapientes. Noonegaverim tameD,mu{. 
tos eoninn , qui Mtgorum gaudebant titulo, & nomeoclatur^ 
iMMgut puritate ac digDitateabhorrentcs calluifTeartes , iifque 
£bi& aonieo,& famam coofecutosjtuoc oimirum,cum D^mo. 
msfhrade,& improborum hominum nequitia,vcris dogmatibus 
£ad^,TtiIibus noxia, iUicita mifceri licitis cxpSre. Quod quo 
te^ipore,& quibus audoribus £idum fi^jam 
dicereaggredior. 

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li Parris L Liber l 

C A P U T 1 L 

De yiSLgXXgeminAcorruptione^ (fquotd tempore^ 
quibuTpe fa&$m ^uSiorilms. 

liMiUUii. \7 Eram aclegicimam MdgUm cum carterisfcientits Adamo tri- 
fsmsAdM' V butam ^ D E o, & ab hoc pofteris traditam fcu voce, fcu rcri. 
3^7^ ptis,haud vanis colligitur conjcdurisactcftimoniis Audorum 
Hebrasocum 7 Chaldxorum , Arabum > Samaritanorum , Syro- 
rum> Grarcorum , & Latinorum, aua^ verbotenus recitat ex ipHs 
fontibus P.AthdnafimKirchersis PoJyglottjis in Obclifco Pamphi- 
liolib. I. cap. 1. & in Oedipo ^gyptiaco tom. 2. claftc 2. cap. r. & 
feqq quibus iocismultaac rari/nmahabet dehbrisfcriptisante 
dilu vium ab Adamo, 4 Seth,ab Enoch,4 Cham, & aliis s & qua ij 
ratione a diluvij corruptionctonfervati fuerintad pofteroruro 
. feculatranfmifsi. Vcrumutnihilfuitvnquam tamfandum,lau^ 
dabile,& incorruptum, quod Dasmonis fraude, & hominum im- 
probillimorum malitia non fuerit vitiatum atquecorruptum» ita 
recohdiiarum quoq; rerum /cientia ab Adamo pofteris fuistra« 
ji^l^j^^vdita,& iV4^/^nominccohoncftata, nefariis fuperftitionibus, & 
timMDA. cxecrandis dogmatibus Dxmone Magiftro contaminata ftjit> 
d!eorru^ ficquc Mogis primspva atque legitima cutn nominc corpit in o* 
^$17^^' dium vcrti apud bonos,brcviqucadepdifrundi peftis per orbem, 
ut nulla vnquam gens extiterit , quae illa non fuerit contammata. 
Quaexcorruptioncnatacftdivifio Magu iolicitam & ilhcitam, 
dcquainfr^* 

2dagiA eof Quo vcr6 tcmporc acloco , & quo potiffimum Au<3ore 
tHftoTfHts^QQXtumpx c«peritA/if^/4lcgitima,&introduci vana,faIfa,acno- 
xia,IiscftnonmodicaintcrScriptorcs PlwiusUh.^o. Hiftor Na- 
tur. cap. I. dcealoqucns ait; Jf^e duhioin Oriente ortaeft Magia/;r 
Perfidi a Zoroaffre , vt inter auStorcsconveitit. Idem fcbtiunt ali/ 
plcrque,ut//y^wi^////?mVi^initioIibj.D.^//^#^^ hb ii.de Civi- 
tatc Dct cap. 1 5.& ali j. At tum multos habcamus cx varii« H»fto- 
Zoroafires'^ ricis & Scriptoribus Zoroaftrcs,qtn variis vixcrc tcmporibus,va- 
^arif. "^Tiisquein rcgionibus}quifnamiIIc£t quiiVirg/if prs^iltgi^mci&^u^ 



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Prolegotnenar 

ftor focrit, & quo vixeric cempore, ingens eft inter aoflores diffi- 
dtum. Alij enim prxcer memoratum jam Zoroaftreftt $ cpcteC 
Chaldatum plerique vocant, a^nofcuntalterumgente fia^ria» 
ouro,qui cym Nino bellum geflerittertium gentere Pampliiliafti* 
(queroScErumdiciaflrerubc) Armeni filium,juxcaC^;xrM/m^- 
hxAnirinum , auc Oromazi , juxca fUtonem \ quartum Arraenuni 
natioDe, Hoftanis nepoccm > qumcum Pcrfomedcm \ & (excum 
Proconnefium. Horum omnium mencibnem facic f . UArtinM 
Delrio li^. i. difquific. Magic. cap. ex Plinio , luftino, Arnoiio,<:k^ 
mnte AUxgnd. Suida.Francifio PatritioM aliis. PIu res cciam^com- 
mtmontP.AthanaJiusKircherualoc. cic. qui omnium accuraciifi» 
remcocam cxaminac^Sc Iicem componic, uc vidcbimusrapl-; 
tefcquentf. . ' > 

Incerimcamcn aio,3/4^/4;//genuinam,acque4PA>ropTafte*ii/^^^^ &- 
AdamoTbeodidado pofteris fuis cradicam , longi ance nfundi^^^^^^f ^^^-^ 
Cacaclyfmum, Catniurum malicia hiiflc corruptam. t^tobord^fli^^^ 
ex variis Audoribus anciquis. Ac primo ex fragmcncb libti E- vmm^ 
noch, quodgra^calinguaadducic Scaliger\n Annocat.fuisrn Eu- 
febiumt & rcperit eciam in Bibliochecagra^ca celcbcrrima Mb-* 
oaftcrij Salvacoris Mefiana? Sicili^urbc P.AthanaJiusKircherHs, 
tviaianoo KJj/.iftbicperdies aliquoc morarecur \ qui prirtius, 

2aodfciarn,ici Iacinumreddtdic,inferuicqueco.z.Oedipi yEgypt. 
lafEi.cap 1 §.4.Libri Enoch>exquodidumfragmentumfum-i?»<»r*i/r- 

Eum cft y mcminiffe videcur Or/]g/wjapudSixtum Scnenfem*^^^^^* 
omil ig.in Iib.Numcrorum,uni CMmT^r/i>7//4i;^,dumtradant,^r^lJ^^ 
argumcntfimlihri Enochfuiflc, pratcrProphetias, de numero 
&nominibu'> fteilir4im,& ipfarum lecrecis vircutibus,dc defcen- 
fufilioram Deiad fil^os hominum, de gigancibusex Angelorum 
coitu4)rogenit»s , de extrema I udicio Dei erga impios. Quac bhi« 
numdicldfragmentaci>nc!neiicur,Ecquamvisishber Apocry^ 
phositAon camen ideo falfa funt omnta quasconcinet. Sic ergo 
Inecraliain d^&o fragmento hAbccur. EtfaSiumeft^cummultipli^ 
etsifuiJJentfilifhominHm, nata^ ipjis fHinfulchratJtdecordydefidera' 

m^<4segregwifiilkaangeUmd&)&^tmm^^ 

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14 Partis l Llbcr Ti 

ce^tes Ad if^vicem t ik^mm nehis fceminoiS > fUdhm b$mi/sgth 
r*i&c.fici^reUquiomnesAnnoxi^Q. Mimdi acceperuntjibi iffismuUe^ 
tfis^ &inceferuntcontMnindriinipfis vjqueaddtlssvium , cydoceh^nt 
iffifs (gigMtes) &fiemin/t^eorumM3igum (gracns textm hahett (pxf^- 
* . ' u0%mO dr Incantationes^&c. Hispr^ifusfiniiJiabAbdcZofinius 
Paoopobtesapud Photiump^Q^^tonxcotx Arabum audore Ahul- 
hajfen ^ ({Moxum verba grxcz ^krzb\ci^^cxtKirchertu\oc.c\t. 
HifcecooieQtit Serenus Abbasapud Cafsianum Collat. S. cap. ir. 
ubiait: Scienuamomnium naturarum fer fuccefsionespnerationum 
femen Seth paternatraditionejufiipiens fdon^c divifiima facrftega pro^ 
fagine Cain ferdurautty^uemadmodumfin£leferceperat/ta etiam vel 
dd Oet cultum , vel ad vita communU vtiUtatem exercuit, Cum vero 
fuifjet impidgeneratiwipermvctum, ad resprofanas noxias , q//a Pii 

^ didicefrat yinfiin^uqttog^ Ltonnonttmderivauit^ curiojas^exea malefi^ 
cioriiartesatj^ prafiigia , magicas^Juperfiitiones audader in(iituity(^c. 
Bac igitur quam Mximus curiojarum rerum notitia quomodo in diluvio 

" non ferierit^cJfMrvenientihtisJdcidtsinnotueritso^c.perfiringendum 
hreviterfuto. Quod&facit,ut pofleaTidebimus. AcceditCi^- 
0fritrii4/rx4Wr/ii/w^iib.4.recognit.ubiait: docuerunt(^m2Xikt^gt- 
1 i) homines > quod Dotmones artibus quihufdam ohedire mortaUhus , id 
eft%magicis invocattonihat^ojjentsacvelutexfornace quadam e^ ojfici* 
na maUtid totum mundum p$htra£to pietatis mminey impietatk fumo rr* 
fleverunt. Pro his & al^ nontiullis caufis diluvium mundotntrodu- 

. ^um efii omnesquierant fisperterrar^deletifuntyexceptiNoe fimi^ 
lia , qui cum trihus fiUis , eorum^ vxorihus fuperfuit : ex quihus vnus 
Cham nomine , cuidam exfiUis fisiSfqui Me^aim appellahatur,a quo Ae^ 
gjptiorum^ & Bahyloniorumy & Perfarumducitur mtus , mate comfer^ 
tam Magicam tradidit difcipUnam. Nunc ad^Zoroaftres redea- 
mus, ♦ 

CAPUT III. 

T)e Zoroaftre qui frmpu MagtA UcitA cor- 

ruftot exiftimatur, 

zwit9^ p K^tbMntJm Kirckerm lib.i. Obcl. Painphiiit cap.i.iodagau 
'9^- *et]^oti noiniaiSi7#fVi^«r «aic>idderi?arealiquosi 

. ■ _ ▼oc»- 

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Prolegoincctf; 1 ff 

▼ocabDlis z<v4r& m^fofy i^m&^cttcs, vivem Mjhmm : ^os i ChiJ^ 
daico t>artim,& partim^ i3r«co vocabolo,oem|i>e mra^ 

2Q6d nguram,fignom>imagiDem kicerpretaDturi& ab «^^«fjbcjuod 
dus fignificat i ut idem fienificet Zoroafter, qyod figuiFa^im^ 
fieoam aftrorum : alio^ ab alifs nomiDibDs & lingiiis>ut vi<lere \ . 
WM\}AG^0^iim. Ipic Yev6Mhd»d^K$rcktru0zit,y oc^bii^ 
kim hoc>Z^ra4/iVr>efie vocabulum Chaldaicum» U derivari i do- 
fldreioe TfirM,Yc\ vefrbo TyS/^Tiquorum ilkid fieuram>hoc figu- 
fare fieotmratr & ^hgfter , quod ignenri abfcoDcntum figoificat ; 
9Qafidiceretor^iy/4/ffr>formaDs liiolaigDis abfcosditl, veleti- 
am ZmrMftir, id eft > fignum ^figura > fimulacbrum rerom fecreta-^ 
nraa abfcooditatum. His itacooftituis^afiero cum KircherM 
loco proxime citato» famofifiimum illum apud Scriptores varios/^*''^^ 
Zoroaftrem, primum^ue iMi^Mlidtar corniptbrem >illicitatqoe ^J^j^^ 
foventorem Domioatem^alium ood fiiifleoita Cbam filium Noc, Zm» quk 
^ol ante dikivionf» abimptis Cafoitis eamdidicit>& o^perrretc&4Pt> 
aquarom ifiuDdatioDe>Iapidrbiss & cohimois eam incidit >& di*^ 
•loyfo traofa Aoad pf^rosfoos traofmifit. Audi Gregmum Tu^ ^ 
rmtf^m fib. i. Hiftoriar Fraof icar. ^Clhm 4MUm^nc\mx^t0tiu6drtk 
3A2gicxJmiuemtel>iMhb,(^primm idelaUmd reperur^rimm^d^ 
fdmmdderwrddmftdtuitvfieOm^S^ig^mdeicddUbihL^^^ 
^ddfcrilmnt ; veedtm^ eHyCum ddPtrfM ^tnfiJfet,Zor0dfter,qfted^^^g^f^p^ 
0eMdm vivemtem inieffretMntur. Si ve ut oos fupr^ ex Kircheta dL> mmligiH^ 
ximosrfoi^mansidolum ignisabicoDdftr>five^OBre&fig}Jram ^i^^ 
teroroabfconditarum. Cltmens AlexMmdrirm poft v^ba ptas- wjiijiia 
Mdeoticdpite in finerelata fubjungtt. Hunc{C}kv^}M{)^mtesr 
fuMtemctrMnt, ZoreMfirem dffelUrumt > ddmirMntts frimum Maglca^ 
^ptttJtu^tremyCuim nomine ettMmkbriplurimifitptr hoc hMi$tur,c^ 
iMlthunc poftca idum fiilm;De>Zoroaftrem tquafi viveos a-^ 
ftnim^ppellatuffi^StproDEOhabitum. Philoftratusio Vita^ 
ApoHoi^fl Thpnaeiiciem e3^refiedocet»jliK^tfr4X( ApolloDiii^)V 
Jftni temport ZtroMftrtm BdHriMnorum Rogtm mubM^do Mag^a dd^ 
ttafft , & f^iffifi^ 9 i/Ud^Mfud Bdkylonits ferydbMntur. f$ MuUm ffiitt 
CktmfMm Ntis quiMnttcMtMelyfimiim M^gicam Mrtem didicetMty tjr 
pfrdtJtArcmi*y&dtitsdtcuif,&cMis coDgrouDtqua^deZuroaftre: 



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l6 Paftif -L Libar L 

Cctibwit PU»i0i, SukUf, Benjm. Didymm quoque Ate^dndrmm 
Zoroaflrem nullum aUuin qui^mCham 6lium Noefui0c,Don 
lcmclfatetur. ^hinephimhbAci^ctzWd ^gyjJttiorum ait 
ZofMfttf ' Fiiif tnuem Cham fUm N^e, primm ofiendit cnltum tdalorum^f^ no» 
^oiumnu f^^eimZwoAHer.An^0rHiJt.Sch0UftAiXi^tt libro gcncf jn cap 29. 
^HsMtt^i HiftoTMC : Nmm , mquit„Wf//C/riW , ^uiadhHC vivebat, ^riu 
X^^m! gnabAtinBafhriayfiHin^Thrdcia^uialifVjidune,^ Zoroafter^ 
tnventorartk Magicar, qui & hanc^ & ftftemMeraks artesin^uoiM^ 
ordecim coUmnU jcrtfftt Seftem 4meis , &feptem lateriti/f, contra dn^ 
plexlorbi ekcidium qnodMmebatur,unum per aquam , alterum per 
ignem. fic illc. Berofm lib.3. eratillii^ocyfitimextribmprimmado^ 
Ufeentior^quifemper lAzgxcx^cveneficd fiudens.Zoroaftris nomeu 
confecutm erat. 

Cbamitaq^ No^ipiiifimifiliusimpius, cumantecUIuvium 
ab imptiffimisCainitisartcs illicitas avidrffim^ 
non voce tantum , fed libris ^iam fcriptis adpoftcros tranfmi». 
tere cupcre€ , & ut airSerenus Abbas apud Cafpanum loco/upe- 
rioricap.cit. SciemnuJlum fepofiefiperhumemoriaiemUbruminan- 
camfrorfm inferreyinqMameratma<tmtpatrejufloacfan(lii firMtrihm 
In^efikrm \feekftm artos , ac profiana commema diverforum metaWi^ 
rum Uminio^udfiitkeeaquarum inmrdatufnecorrumpinompoftent^ek 
duriftimis lapidihm infculpfk,qusdiluvio peraffo , eadem quiceUverat 
curiofitate perqukensfacriUfforum ^ perpetud nequitid feminaritm 
tranfmifttirtpofUros. Hoic congruuntqux D.^iig libi8.de Ci- 
vitate Dei , & Pnfm Comeftor recitant de quatuordecim colu- 
mnis,fcptem «rels>&totidem lateritiis,artium & fctcntiaram 
cbamiU. canonibus iofignl«s,3fcCbamo Nocmtfilio crcdis. Quasqui- 
*w/f/rxi/- j^^^i^C5Columnis in<crtptas.& tranfado diluvio iniCorriJ|iw* 
iiwi^inventas,iterum libris configiiafle credibilecft,idqueniai»riiil 
Unm Iingua,hoc eft,Hebraic4,feu Chaldaica. Ethoslibrosadepcuni 
fc^oriatur MiranduUnmin EpiftoIaquadamadMarulium 
Ficinum data , his verbis ! Chaldaici hi libri fint , / libri funt, (tf 
non thefauri. x^di infiriptiones: Patris Ez>rd,Zoroaftris,&Meichisr 
Magorum oracuU. In quibm &iUa qucque .audapudGrstcosm^a- 
fa^mutiU drtumferunttsrdegHnturintegrd^aLfoUta. tumeftim 

^ tllk 



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Prolcgomtnsu 17 

iUd Chalddprum Safientum brevif auidem , & fatebrpfi , Jed flend 
myfleriU mtfrfrftdtio. EH idem 0* libeOm' de dogmatis Chaldaicd 
Theohgid. T um Perfirumy Grdcorum^^ ChalddoruminiMamdivi' 
nd locupletijjima enarratio. Hasc Picus. 

Propagavic aucem Cham itnXoToziktTMagiam fuam pri* cham jm 
tnuin in ^gypco^quaro poft diluvium ac linguarum apud fiabel ^Tj^^""^ 
confuiionem cum fuis a4ierat. i£gypto deinde Dumerosa^^j^^ 
proJercplet&j&maioriS glorias cupidus, filiofuoMifraimre*^«i^« 
gaum reliquit, 8c in ChalcHeam, Periiam» ac Mediam ad A€y ria^ 
popuios fe contulir,ubi Afl:rologiam,& tMdgica^ artes profeOtis» 
uotum ;4>ud indigenas nomen obtinuiti ut coelei^f ignecon- 
{umptus,prout praedixerat>inter NuminaPer{idisreIatus,M^^<jr, 
hoc eft, candcfadus \2i\>\SyZuraJlery (eu vivum fidus , Sol,igms vi^ 
venSfj:o(pif MagusM efttfapiensfucritappellatus. Hincfa&um^^^^^yffr 
eft»atPerfomedemZoroaftremHiftorici nomiulli eum appel '^^*''*?''' 
lcot, ut fupri vidimus:qul tamen unus & idem eft cumZoroaftrcSS; 
Chaldaso>feu Cham, de quo loquimun A tque ab hoc Zoroa» 
ftrcomnes reliqui, qui Magicis artibuspoftea iioruerunt aptid va- 
rias natioacSiZoFoaftres i unt appellati ; non (ecus acapud ^gy- z^^f^ 
ptiosoltmomncsocculta & abftrala revelantes> ^ovTovip»vnxyo-^^^^^^. 
cati funt,& Oiirides,qui variis inventionibus rertim , teligicAiisq^Jw^^r 
cuku homines ad meliorem vitam reducebant. Hinc fadum 
ottot rcperiantur apud Scriptorcs, tamque diverfarum natio- 
num Zoroaftrcs » uti cap. fuperiori vidimus. Hinc etiam la- 
dumiUtillcipfeprimusZoroafter,primufqueil/#^^^ 
crcdcbatur,a PlinioiCDiogeneLaertioPetlcSykDiodoroSiculo ^^-^I^^^J^ 
driaous^abaliisalterius nationis appelletur. Hincdeniquc fa^^'''^ 
dum , cur tam vari^ fentiant Audores de antiquit. eiuf dem apud 
pUniumMh.io. Hift. natur.cap. i.ubiqu^refertexEudoxoi, 
Ariftotele,&Hermippo,omninofabuIofafttnt;U£ 
QStznditPererimivk cap.7. Exodi di/p. 
2.num.i7. 



CAPUT 



tstm nom» 



^ Partis I. Libcr L 

■ C A P U T I V. 

De tAzgixumverfim fimpudivifiom^w^ ac 
fr^icifufinNaturaUmyArtificiaUm^ 

M^U pri^ f\ihd6tMdffd UQnrerfimfumpta , cxri pr imacyaerfrgQificadot- 

^ lisfifientUperfeiti0^ec0nditd^ rerum cegnUio, ifMdexaj^fUcdHene 

{HvornmcumfMjJivk mird^ &communemhominum finfimaccoftum^ 
excedentia,perficiuntur. t>\x\,creAtM4cn4turalkfifientid > ut cxcla^ 
dercm AipvnaturaIcm,qtKiljs fuic in Propbecis. D\xi,exapplicd^ 
tioneaBivorum eum fajjivi t quia fine ijs creata iBduftrianift i) po- 
teft efficere. Dixi* deniqiic j nma , communem homiinum finfim 
accaptumexcedentiSf quia fapi€ciores ac fupca vuJgus dbdos Ma- 
gicorum efie&uum caufar plerumque non btcat. Harc eaffiei» 
«fie£lricifoItimMagia(con?eniiint, nonetiam contemplacricL 
£ft eiMm Magia alia Contemplatrix, alia £fFc&rix> Hanc}am« 
cxplicaviiiiys. Ula remm in aixana Nacura: m^igVftate pennirs 
abdiuruCTikcretior quardam>& abftrufiorfapieniiaeft^eamqur 
€XfZttctiiico]^\lAri^oteleszQTheophrAftMmLt^^ 
dis audicionibus. Efiedricis^if^Arnc univerfim defcripne vaiw 
varia^adfignanedivifienes , uc videre eft apud Piinium lib. 
Miftmatur.eapx. /if^/rrAi^demyfterii5j<£gyptiorum, ?w&;ir 
defa€rificio& Magia./^or/^jrtt^^i^d 

Civil. Dticap.9; Suidamyctbo Mapa^ Thomam^iajg^umm O- 
1?^^^^^P^^^^^^f^^g^ii^^^PhiUJiraeum,Bulengerum^ 
^i^in^' Omnium cemmodiffimc miti vid^ rurpofiedividt^ 

'ZT&H' racionc fiois & mcdiorum,in bonam kn licicam, & in mahimfeu 
Kgksm* iUicicambStH^nfm bono fine& induftria humand addiftator &cx- 
ercea wr, bena& licita eft ; fi vcro auc malofine,auc ope D^mo^ 
0is,raal^ eff acillici ta. Ethona quidem fcu kciu Magiaxiuplexcf^^ 
Nacuralis,& Arcificialis. Mala ver6 /cu/iJ5rr//4^cft mukiples^, uriiy 
fcqjicncibus vidcbimus. Nam omnes iMagici effc&m adkrh^ 

hcndb 



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Prolegomena. , 

beiidi fiint, vel inGt» rebusDacura;,velhumati«Indu(lriaB, yel 
Cacodxtnonis tnagifterio , & quidem ultimum mulds modis» 6e 
Tariosobfioes. 

C A PVT V. 

Ve Magia J^turaiifiu Thyfica , emfque miru 
^Uibus ohiter indicatis. 
VTAtiiraiem Mdgum appcUo » ncomJitdm fudmddm ^cMsrm^i^ ^ 

nhm^ccfdtUy SymfM$mk$€AntifAthj^c^^^ fhiU^ 
fifhii^imtnr^ivdfiijpvu^timporc^ Uco^&mUo afflicsntnr^c^ 
wtir^sifmid^hoc fMffoferpciuntur^qudCdnfk^ 
fo^ wl mk4Ci4ofi viJentur. Hanc vim Mdgid etiam Pjcum ub. de 
£Mmon\hm^Un^clm\ihA^ 

Hujusii/4^effedusc(l»quodfuois>linteoIum9C&arta ex a 
ipeftocQofeAa» & projCiftaKiignemt non modd non combu- 
noctiry (ed puriora etiam extrahantur» prout (aepif&m& vidi fadi« 
catom Romx apud P. Athaoaiium Kircherum. Item qu6d Tur- 
caqokiam Veoetiis liquato plumbo maous lavitioooxius^Cir^- . 
Mteftelib. 6. (ubftili; imbutisforte priusmaoibus fuccomalva:. 
£cqti6dTobias pateroam carcitatem fellepifci$di^uhtabAn.^^*« 7* 
^eioioftri|dus»quam vim Callionymo pifci tribuunt PUnim^JE^ 
MdmmoJ^^i cum (;4i^)ii^lib.io.fimphcium inedicam: An noama-^^^/^ 

glciTki60€urefiedus,quos videmusquotidicio paleiscalorefuo^^^*-^* 
odits macuraotibus^, 6c frigore fuo confervaotibus oives o^li- 
qoefiaotj dumde locoinlocumfoleetiamferveotiflimodepor» 
tantor f ucmultorumaonorumfpatioquotidie fieri con(pexi in 
S ^^A ^nKi anno fer^ toto ni ves in montibusatquecavernismul- 
coVibMccoofervacacindeliciisfunc&magnoqua^ftu incivita- 
.CfiMisdiveoduotur , ac in Melitam ufque Inlulam , ubi nunquam 
coni^idttocur decaclo lapfa: oives^oa vibus io dies fiogulos traosi- 
aiccaiicttr. Nec mioiis mirum e(l , qu6d cak yiya^ ucappellaoc> 

C X cum 



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ao . Partis L Liber L 

cum {gmeam in feliaBeat vim > aquS afius^ accendicur ; & quhd 
8mI jgri^ iai Agrigentinus liquatur igne ^aqua vero induratur , & crepitatr 
lintimu, ut SoUnfis & Plinim teftatur lib. 51. cap. 7. & Th0mas]Fa%iUus DeQ. 
I. RerumSiculanlib.fi.cap.i.drcafinem^qui&fidemfeprobafle 
ait>quam vis ego per annos decem & novem » quibus Siciliam to 
tam peragravi^ & in variis civitatibus habita vi, rartos quoque (a* 
les auc concretos ialittoribus maritimis » aut h montibus (axo- 
ruffl inftar duriifimorum erutos vidi^atque comedi > nifaiiunqul^ 
de huiufmodi Agrigentino inaudierim. Magnetis miracula ii- 

rm^ Porerui,icahj , ac nosfuoloco inc^4^Mmagneticaabund6 
de ijsa2emus> utt & aliis inlocisdealiorum lapidum^ gemma^ 
rum> puntarum , animalium virtuti bus ad eflba us exoticos pro- 
i)ucendos>n rit^applicentur. DeTarancuIafettPhal^tngiaCa- 
labri^mirafarpcaudivi , tumin SiciHa , tumiterbisfacieiisper 
Calabrlam»aua? elegantifiim^perfequitiir P.Kirchfruslib.yAftis 
Magneticar^ocuo^ (uo loco aliqua dicemus. 

Hucetiam referesvimherbarum^gemmarumqiie^quarad 
amorem > odjum, Letftiam , venereos motus , & fimiies em&M 
excitant,mod6 libertatem faominisnon negesquafaisafie^b» 
sdfauc valeat refifteres nam nuUa vi naturali voiuntasper ie co^ 
poteft: Afit(5tus>^r6quiavariishumorumcommotionibtis>ex» 
. citantur > at cum circa prarcordia fervere fang^is mci^it , irafet- 
KMturMiiA mur^&c. naturalibus virtutlbuscommoyertcertumeft^rficutbe- 
nmfunt titiam vinogignf,ettamfacrxIitccrajtcftancur. Qufd vepoJMTC» 
^ot^sius caclum vakatdicam fuo loca IUud cavendum, n^ tcmer^<»»- 
vendtMtur mnia,qua?m Aui^oribusIeguntur>credantureffenaturalia, ut 
^ftf^ri^qi^oiWilhstmtts Jlverm^fcribit Opcre pereruditode UDiverfo 
partist. princrpalis part.^.cap. 23.apud l>^i>^i^loco<uprkcitat0^ 
Hcliotropiohominesreddiinvifibilcs , & argentp vluo inteir 
duascannaspofitoinamtationesimpediri. Itcmquod R^berttm 
Triezius liK de Dajmonum decepthonibus3ocet , rutamfiirco 
Jbblatam , & ocymum ( ^aflt<«nPrau(appelknt Germani ) com 
coavitusplamatum ttberltts pfovcnire» & feptem certas herbuiar 



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Prolfgomcnt^ 21 

gramtii^jada iQfynipofi6> cimviva&oaDCsadrixas&Lapitha- 
rum cercamioa provocare» Mulca iumquXjfpsiMesjBafnfia P^r 
/4Qarratinfiia^^/4DaiuraIi ^ .&QMiiuiItaquas hab^Martinm 
Schmucke» iQ Thelauriolo Secrctorum QaturaliunitChynijico^ 
ram,& M6dlcoruqi)& Wifsj^j^a»gwHiUeha^min MagiaHaz na* 
turatti & pIeraque<|uas.ha&MturiQHbelloquodam Arabicexl^ 
Secretis,qaem Roma: latiue edidit Dodiflinius.mihique nottfll* 
nilQsyriTjt^brahammlEcchtKen(isM;xt^^ 

Certa etianYdierum difcrimtQa^deremooi^^ prcces, cruces Sfif9rftjti$- 
certo numero figuratae , & fimiiia , hac in re fufpe^a merit^fun t,^;^^ 
cum onEiQiaba^c vim navarakmnihiladjuvent^ neque ex Ecde^^ 
fiatcoQfuetudinqfiant OieitamenortumScoccafurh, crefcen- 
m aut decrefcedtis Lunas varietatem ^ 6c alia huiufmodi obfer- 
varje ( ooQ.(amePi;f)l0.MCarumih^ts > : cum eas inctrcas onfuiiiio . , . ^ 
(fm$ nccdiotfatum initio ac duratione inter Auflwes cpnvenifct) . v ^ 
Aon argoo^c^ fidera fuo infiuxu aliquid poflmt^ jrgfosBoda 
gravras^iDteffdiuieviufculehabereexpenamur. . « 

Dividitur i)/4|M naturalisin Operatricem,& Dirinatricenv* Mspdjft^- 
Operacri9j6mliaaenuscxplicavimus,j&:^xplicabifflus porro fch 
«^Opere, confiftitque in applicatione rerum cum irebusadpMH 
4iHicaidos cSk^m mirabiles. Divinaerix in abdms Qcs&imm 
cmje^DdisTcrfatur , Qtctim quidameffedus naiural^s praccK- >; 
caonirexcdu&QOQpaffimcognitis. DehacfufiusJ)WSri/Mftoc^ • 
£bw(r«Dik|Uf(k.^iagic.& Qosiuoiocoin MagiaDtA»DatrjB(:e.H(if ^ 
boKfdam firas Mcdici con jedrtirai , quasipus relfitqfiiifmis. A Ji» r 
qukicamendicemusinMagiaMedica* £ii:eciam.qtjla6dafliprat * 'V 
BOfia Pbyiiognomicanon omnino vana ; fiquidem brliaeameQ'^ ^hffpt$^ 
tis>in>€e> coJoribushomiDum, naturalestaDtiLmpropenfioQei'*^]^^^^^ 
caojeiicntur; dona atKem fupernaturalia,aut peccatainde^fQefle^^ 
defccbetide0e)VaQumeft,&illicitum>c^dooafuperQacci^^ ^ 
ikDw^^eataavoluntacehominis^noolnatutape^ Dr ' ^ | ' 
C&rOflincia»ficfomniorumconjedurado^icKxci€qux& 
^/ViSnMrdi^uriquibus e6 uf^ 

ntq^ pfoMbihs^ c£^eAatio e&;^us nattiralia €tt»fiia caufeapiL 

CL $ paccfti 



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12 Paitii I. Lib- L 

paret>ut c&mqui^ facpeincendfa»bella,& (imlfiafomniati me^ 
cholcram prardominari conijcereliceiNt. Ad futuralibera>ab'* 
fen tia , non conjun^a vemte » frivolum e(K Sed de bds pkira in 
Magia Divinsitrice. 

Audores varij qui de Ms^is NacuraK » auttebusad ip&m 
pertinentibus fcrlpscre , fic qua caoieliiij legendi, vide apud Det- 
r/4^ailib.i.cap.5. 

C A P U T V L 

nonntdlii fummattm enumeratu. 

MMgULAf' A Kxi^d^cmMAgUmzipp^lo^ia^temfiufdcmUd^ 
ttfieiMlH if-^^ferficiemdi fer humandm indufiridm^dhiyende dd idvaria injhu- 
ftOm. pffffftM. Huiu(modifuitfpharraiIla Archimedi5vitrea,dequaiif. 
Tullins i. Tufcul. & dc Nat.Ocoru, & CUudianns Po^u Epigram^ 
ftiate. i f . Item Archita; iignea columba volan^ , de qua GeJtiitc 
M>.K).Nod.Attic EtLeonisfmperatortsavicuIaraurexcantil- 
laneeSfde quibus (7/fr4/,& (Jlf jiii^/ in Annalibus. Et Botf 
»?iculx volantes , ac cantiUantcs , uti & ferpeirtes (ibillantes , de 
^fM/i»Re.quibusC4j^i^ri^lib.vana.eptft^ penult. EtaquilaIoannisRc« 
xicm0»iM' giomontani , qux CaroloQuint^ Carfari Norimbergam ad vcq- 
Mmfis fir^ WDti ob viam volavit, St ufquc ad urbis portam cundem comita- 
fisvfiU' ta eft > ut reftni^driantuRomanw in Mathcii Polcmica ; ubi cc- 
tMm. iamait, MurcamrfcrreamNorimbcrgxcmanuartificisruicvo- 
i laiTcSc convivascircumvoIa(rc^tandemqucvelutdefb(Iam,fa 
(ui Domini manum rcdiifle. Ibidcm viia aliquando fuitftatua 
formalupi»quac obambulabat, 6c tympanum pulfabat^ ntiab o* 
c^tdmtHjcuhto tefte audiui. Similia mulu fiunt ibidem quotidie. Huc 
J^^^^etiamfpedatCaputacncumAlbertiMagni , qood narranthiK 
inanoarttficioarticulat61ocutom;tametfiidalfjfabulonimcxi. 
ftimcnt» autoperadiabolicapCTadum; quod umenutcredam 
hamai)a£idumtndiaftri^acitftatua M«thematu^^ P. Athanafij 

Kirche- 



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Klrcfaeri»qi»fn dum hascfcriboy litterk Roma admedat» InteU 
iigo eumnioliri > ppo Socciat Regioa Chriftioa ouper ad fidem 
Cadiiolicam coover£si»iQ Romano CoUcgtoexcipiendai^as fta- 
taa ad inuntogata refpondcf e dcbebit. Conftrodionem eius* 
iboloco&biraus. Nota fuot quft idem P« Kirchcras ex MagUuMfin$it' 
haiosastificialis prxfcripto cxhibctin Mufcofuo> & c^ipreex-^^^^^'^ 
bibtti trium annorum fpatioibidcn> praifcrtim Mag;Qctis opc» ^*^' 
prout ca fusc in Artc Magneticapartimab jpfo^partim^mcin 
iSrcoada Romaea , iivc intcrtiaOpcFiMdiuoncdcfcribuntun 
cuiuffnodi ioter aliafuatlaccrtulacbartaccafurium dcdcorfumi 
pcrcolunraas fupcrficicm c^ttinMm Fcpcns ; ft;atua dcfidcratas 
ittteras tofpbasrse vitrcae ambitucicfcriptas virgaindicc denion«- 
ftraocs Acfopulus¥itroiQclufcis>& bovemadvcrfum fugicns, a-' 
lEcrfumfequcnS'» nautacymbukm^portu (olvcns, & curfupcr- 
ado ad pof uim^ pcdicmr» akaquc pcrmurca , quae lcgcs vclapud 
J/iTiS^/irw locxi t, v cl apud iK^s in M^ 

Ad baoc eandcm Artificialcm pcrci ncnt,quae j^jjjjj^ 

doeebimttSiBfequcnobus; cujusmodt funt^utfupra mcnfamap- 
p^reaccaiiQusplenus aurcis.frudibusve, &dumcMCQditur ma- 
OM^nibil apprehendatur» ut re^cxtracubiculum pofitatappar&- 
ant iocubiculoclaufo&obrcuratoperforamcncxiguum) utta^ 
dits foli^ & fpccuk) projicianr ur lirtcr^e le^dnda? ad maximanr 
mulrorumpafluum diibntiam s ut accenio luminc in camcrai. 
cbfcura apparcant per murosdifeurrentesfierpcotcsiQt infpc 
culoappareant pcrfonar,& rcs dciidcrata? h ut hcrba cum florib- 
bus & fbUis ex cincribus fuis txcitetur s 8c alia innumcra^quac fu- 
islocis fuscccK^f rabimusr& explicabimus^ 

Huc rcfern debent horologiarotataartiiiciofiin'ma$mo- u^^tigim 
jerQtsartifkibuspaifim-in Gcrmaixia>Be]gio,& GaUia,(umma r^M/A. 
toduitria £&bricau,inquorum aliquibuA pUirimi confpiciuntur 
motMi,utSolisai>nuu5,diurDus,borarius,minutarius > Lunas m& 
/lruus,cumon>n^us c^sphafibu6>quinim6&primimobiIisia 
AAroiabiifofmam conftrudi diurnus^ intcr hafcc Macbinas^ 
ccieberrimacftjLqj^ Argpntorati inlummo tcmploconfpicltur». 

q^uaB; 



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24 Partis L Lib. h 

<\ux prxttna etiam vat* ia oblcidlamenta habet adjufida , tit gal« 
Idhi cantancem, aIft5qu«quacientem,Aogelos faoi-a: poUum ukK- 
cance$>8c clepTyd^am in?em0ce5,(ph«ramq', c^lcftem cumftel- 
lis 8c5oie%onte ctf euma<5bim« Simllem Tidi in fiimmo cemplo 
Mogunci^> 8c Fraacofurci. £jusdem cenfus func faorologla 
denticulauf>ondere mota»qua?in cemplorum Sc curiarum curri. 
bus colbcari folenc^cusenon faoras cancum ,liorarumquequa- 
dran tes & momenta olref)dunt>cum pidiUiCum indice>fed & pr^« 
ludia faabencmuficajam fimpUcis foni , jam eciam muldpficism - 
unam Harmoniam confpirancis. Talia in mulds BeJgii civica* 
cibus vidi 6c audivi fa^piflime duorum annorum fpacro. His affi- 
nia func faorologia denciculaca>quas finepondere faoras,faora;qae 
parresoftendunc^&peromniaicinerageftarifolenc; quorumali» 
quando moles adeo exigua eft^ucomntbusadmirati onem pariac. 
Carddnus meminic unius, quod inftar gemmas annuloinaufum 
fuit Smitlememinimelegideoblacumfuiflealiquando CaroM 
lo V. Ca^fari in Hifpania ; .& aliud , fi non idem > faaoebac Excel- 
ienciflimus Comes Mocyca^,Sicilia? urbis > & Cafttlia^ Arducalail^ 
fus, dum pro Rege Hi(paniarum Pfailippol V.Siciliam regcrec: 
qubd deinde dono ceflic Excellencifllmo Principi Galaciiapud 
qtfem id vidi Panormi. 
Mu^ Huc pra:cerea referri debent (latuac aucomacae formam fao» 
tmMU. n^5nis aut bruti referentes. K^drianfis Romanm in /ua Matfacfi 
Polemicarefert vidiflefe ftatuaquantitate flcformapuellajud^ 
acratis referentem,quae & progredicbatur,& fe inclinabar>erige- 
barymanumporrigebat>aIiaquepra:ftabat>utvix ^ viva puella 
dignofci poflet. Poculum quoque argenteum forma pucllari 
con(lrudum»& vino plenupi oftendit eidem RomanoHerbi- 
poli non raro IlluftrifllmusD.Conradus FridericusaThiingen 
Ecclefia: Cacfaedralis ibidem Canonicus>quodpermenfamec- 
iam longiflime adquemcunque juflum fuerac,progrediebatur; 
cumqucad men(a:nnempcrveniflet>ibi fubfidebatabsqueullo 
motu> tanquam gnarum ipfiustcrmini& pra^cipitii. Evacua- 
to poculojiccrumque inf ufoiad alios quofcunque libcrec^cadem 

ratio. 



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Prolegomena. ^ % , 

fadone lnictebanjif » mooiinqi eciam ulcra mcdiam liofarii coii^ 
tiaoabac» Vidimus & nos Panorroi io Sicili^ apud KeverendiS» 
iiinum O. Abbacera Giezi incer alia mulcat raraiacgue arcifidpfiu 
puellari formaftacuam> quae cicbaram concinneacque harmo- 
nicepullabac^ & ad oumeros falcabac» per menfam dircurreodo# 
ficcancilena cum ^liufinicaadcircumftances converfaeosdem 
cuminclioacioneralucabac. Tempus & charca deficerec>fi o« 
miiia percenfere veilem ,.qust apud nominacum Abbacem Pa- 
flormi,Sc Roma? in variis di verforumPrincipum U Cardinaiiura 
£rgafteriis> (eu Galeriis, uc vocanc Iuli> variisque Germaniasur- 
bibus vidi. 

Uoum (ilencio prxcer jre non po(Jum,quod non ica pridem Msckims 
oftenium mlhi fuic Nonmberga^ ab Ampliilimo Viro Georgio ^*"*^*- 
Philippo Harftorftero urbis Senacore. Duxic meis profua un»^ . 

gubri humanicacead acdescuiusdam arcificis viri>ut videbacur 
mplicis,& omnino idioca?,qul proprio Marte una cum filiis ftiis 
conftruxerac Machinam eleganiiffimam pvraratdali formily lon- 
gamaciacam pedes»ni fallor»oovero aucdircemcircfcers alcara 
qutndeciflpndivifam in variaioculamenca» aftabr^elaboraca. In 
msomniumarcifictim jquiin ijla ingeniofiffima urbe reperiun- 
niriftacuac yidebaDCur^fuis qua^Gueinftrumencisarmacas,quac ad 
mocum unius roca^ velunico digico mobilis concicabancur o» 
iHDes^&arccsfaasexercere dexcerrimi videbjntur Hicbar- 
bitonforradebaccapiUosac barbamthucillucdifcurrendo^ton- 
fi capuc pro neceffiuce in vercede , vel fpeculum eidem pra^ben- 
do*,ilhcpiAorarrepcopeniciIIoducebaclineasincabuIa,8c(ub« 
iQde circumfpiciebaCi molicor aquam derivabac fupra rocam» 
frumencum cribro inferebac , aliaquequa^oificli fui eranc, pera- ^ 
^ebaoPtftor farinam rubigebacsLaniofecurim cauricapiciin. 
mgebac^ foftbr cerram fodiebatSc glebam palaferreii alio cranf- 
fcrebac; aliaquealii arcifices perficiebanc camdexcr^,uc vivere 
videreucur. Admiracione aucem maximS mihi dignum vide- 
harur^quodad uniusroca^gyracionem^caro varii unoeodemque 
lempore ogiocus exhibebanttir^reiftiiobliqui^di^culares» Airfum» 

D deorfum 



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. » 

3S5 Pirth L Lilief t 

€kodQffls<lextrMriim, fifilfh^erfm . Ofms tnx 

cmniao rtgium ,& aon ntfi pro ingenci precia venale. tlcinam 
afiqu^ro digmtAie ttlud defcriberec. 
jif^MM^ Tandem bttc fpeaant alia nnranda Arcbhnedisopera >Uff 
dfs 9f9rm dumingencemnavem onerariam,quam plurima hominumrar' 
•"^•'^^ batixlabore maximo movercporcrachominibus in foper mul- 
^ ciS(|Uepondehbasifflpoficis,pro€uUflkleas> &qaietaimpet[en# 
manu, riquadammulciiidse maclilo« (five pdysbaftusea foe* 
rit , fi ve pancration , five aJia ) quafi tranqiailbo mari prdabe- . 
recur^ ad fc adduxit. Qood cum HeroRcx Syracufarum 
vidi{Iec,exclamafie ftupore plcnus dicitur, iito Tairft^ rJc ^1?/»*?*? 
«fei V<»r w Afy^uiSi hiyovn •t)7g<>#. Ab ha^ (tir^ttidijfMd Archimedef 
gfferHmtiirtdindtmurir. Okn dcmde Marccllus Romanorunt 
Dux maximo^ cxcrcitu Syracufas tcrraf mariquc obfidcrct , Ar* 
cbimede» ad urbis propugnationem ftinrabiles& cerrfbitcso^ 
mnis gcneris machiDa^sCciaqoe abdici^Knfi Mathcmaticx do< 
{kxinx fcicncia, quas vocacur Mecbanica, adtnvenit^ qsibus tan^ 
sashorpinum ftragcspaflim edeb^at.ut Romani aditrinarionein^ 
crcdibilf, fimul^e cerrore pcrcuifi.diccrenc, nrMi contrafto^ 
mine», tcd concra Deos pugnare > ut PUtarchm in Marcello rc^ 
^ fcrCi MufosiniUaoppugnationefubicrantnafcshofttlcs,qua« 
anguftias admifcrant pcr fauccs portus magni, ntmmcrocanf/ 
Siculi Sf racufii s aHas ver6 miinus confiftcbant m Mari. C^m 
ii«risquc magno Macbcraacrce ccrcandum erat. \ Cer tavit*, nee 
\m^\gxh minus , qoilm ingcnios^. tlHs quas proxim^ aiVabanr^* 
fcrrcam porrcm nmnimi,unanrK]uc iHarura foftulitinfobbme 
primum,{cuutcarccriscerroricficc,feuut areis Mathcmacrcar,^ 
(iiiquc ingcnii,coelumincer &terram,perpetQum forpendercf 
moniMnentum. Deindrubi cam fUuftri fpeigtacufofadumef^ 
fetratis^candcm ungu^usdimil&mftuc^ibusdonavic. Navibu» \ 
aliquothac aTcedcmcrfis?aUisquefugadilapfis.ipeculum profcr« 
rejubct,quod ad ratipnem parabola;aliqu2do formavcracipfr, 
expolivcracque. Novum idvifum^mnibus, &deHciipfeentmfYr 
nc c crac qui cx (pcculo omaoartcov malum : Machina^aim calis 



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Prolegotnefia» 27 

10 bello ounqviam ^pparaerait ; fed neque in pace mili^^ 
cedebaturcaleobledamentigenus. Icaqi ridereprimumMa- 
thematicum milicem Duces R omani; cum fenem SyracufaQura» 
in&uumputare > & denique cum pertculi nihilapparerot»exfpe- 
€kare atcepcius» (i forc^ crdgoediam agere veliec f oeca Machema^ ^ 
ticu^ Nec fuit necefle exfpefflare diu ; vix foli obvercerac 
fpeculum Archimedes, cum clafleiti conflagrarefenciunc. Sen- 
/cre Jovem,quem poifcam pucaranc: Jovem dico,& To v<m Ma-r 
cfaematicuoi. Neque enim Jupiter (ine fragore , une nubibus 
fulminat^fi|lffiinatArchimedesplacid^»&ferenotemporetarce 
nimirum,quam non k Jove,fed ex Conicis didiceracfcienciis>ca-^r,i^^. 
toptricfsque experimencis. His aliisque fifus fcienciis & arci-^j^^ 
bus , Archimedes propofuic mirandum illud problema 

fihet fondm m$vere\ de quo nos (uo loco : nec exclamareduDita* 
vit idem Archimedcs, fMi ^S, tk> y j)d Hbi confi- 

fismj&terrdmmoviho. Dehisomnibusagcmusfuisloci«. 

C A PUT VIL 

ILhdt2m<Jl^dgidm^ppt\\odrtem Jen fdCHUdtem^HinonindHftriidtd^ 
^MTtificfd bominHm^ nec ndtHrdUnm cdHfimm dbtffis fdSidffUcd^ 
ti^neyfidofeDotmonHmM fd£li cnm iffisiniti^ mird ^Hdddm, creom- 
mnmemcdftHmfHferdntidefiiciHntHr. D\\\^vifd{iicHm Dotmoni- 
hm imiti \ qmzLMdgid hu }us vis omnis nicicur pado^vel ucito^vel 
exprcffo cum Doemone , uc probac DeUiut \ib. i. dtfquif. magic. 
quxft.4.cxl> jC^/>r/4/»^Iib.dcduplic!m 

doftr.Cbriftian.cap x^.icem bxTheologis,Jurisconfulcis,&ra p^iA^^tM- 
doncipfa. Padum expredum eft, quando quis Diabolo perfe/^>(^ & 
loforma vifibiliapparenti,velalcerifuo nomine,dac& accipit^jjj^j^ 
coodj tiones,fi vc voce, fi ve fcripto, quas fervare vult, ut opem ab 1 
ipio obdoeat.Tacttum pa^um eft,quando quis fciens ac volens 



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Pittk I. Lib. 1. 

fupetftitlofis uticur figoiS) quibus utifoicfit A/jjy» acceptiaiabiL* 
iQrum aliorumv^ libns^aut /ermonibus. Addit Dflrim lib. i. di(- 
Guifit. Magic. quaed^. etiam padum tacltum tfftf qnaodo quis 
^oorans utitur Magicis figois,quia oefci t eficmala , & a Dctmo- 
DeioftitutasquodilTisioletaccidere» quibooafideleguQtlibros 
fuperftitiofos^putan tes eos efic probacorumPhilo(bphdrum>aut 
Medicorum> item iis qui accipiuot ea ab iiomiotbus^iiigoba-» 
bitis bqnis & fidclibus. 
MMgU iUi' Hujus MdgU y rationc iotencionis feufinis, quem M4gi in<* 
''/^^'''^jf '-tcndunt,dum opc Ooemonum mira cfticcre volunt i tres potiffi- 
/'^^' mumnafcuncurrpecies. Namaliquandofoliim quasruntarcem 
feu faculcacem excraordinarios & miros cffedus produceodi» 
propria^auc aliena^ ucihcacis , vel delc<Stacionisgracia : altquando 
faculutem qua:runc cognofccndi res fucuras, vel etiam pr^teri- 
tas^autpraefences/ed arcanaSi&: occulcas,qua: bumanainduftria 
- inillis circumdaociis cognofcioon podunc: aliquandodenique 
faculracem,arcem^& modum appecunc noccndi alits. Prima fa» 
cultas feu ars rccinec nomcn Magia^ illrcica^, /ct unda appellacur 
Divinacio.cercia Miilcficium. Nos rclidis dnobus pofteriori- 
busmembris,dicemus foliim nonnihtldeiigois Illicica? Magias: 
quanquam pleraquequas dehoc diccntur>dcillisctiam incf^Uigt 
dcbeant. 

Solum bic ad vcrto cum jyelm lib. i. di/qui(It. magic.cap.^. 
tjMd^dm nacuralcm & arcificialem cfle duo velamina, qaibus fc 
occuiere folec Magia lUicica : plerumque enim vel vim Nacune 
obteodit velarcificium,in fuis effcAibusiUicica MagU. 
^-^^^rJk Signum igicur (cu rcgulam univerfalem ad dticernendos 
'Hd^fcir' efte&us LMagid lllicita^ ab eficdibus Iicica?>& a miraculis, hanc 
mndoKtf' ponitDelriu^ Iib i Qjf}x(k.^.Fbi necmirdCHli.nec Naturjtvis^necdrti-- 
fiamus^ ficijfiUrtid invemHntur^MdgicmeffeSlus i Diabelo eH. . 
M^Ufdt'^ Signa vero (eu regulas fpeciales funt hx. Primo. Sieferd nd^ 
ticnUf$t tttrdlem facultatem exceduntynecrdtiondbilu cdufi fuppetitcurDE Or 
^i^^^^ velK^ngelis bonis dfcribdntur sdidbclicd funt. Quod tntellige, /i 
^ pofictY^ concludatur^res adhibitasnon habere vim fufficientem 
adoperaillaproducenda* Secunfo.^ 



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Prolegbmcna* ^ ip 

Snundh^ SiiifidntUUcuinqm efftStmfrddm^iSdt^ 
quMCMfofMurdliyeM fdntd,nt n^urditer cat^per t$tmn^meditan rnr 
tirje&mnttMpoJJkagere^necrdtiendhibs cd^ faffetitfCmp^DEXh^vel 
hmn MffJdf dt^triln dei^dtj^idbolicm eSt. Cooftat emmiirPhi:- 
loioptea ycaufamfiiftailieeiti ooo (>ofleagtee> aifi pcr mediiaktf 
la^ooem. Uiideii^demcaqM prosrim^yautpfopfm appl^ 
taoooa^recqiKe camea ^itindtftam: erideosvfderarid&A^ 
turalmrQOQ fieri. loceiHge» (i oonyeniar idter booos Pkilo£9»' 
fhas, catiiamiadatDctrfaDoodgei-efQ modHim ^ii eoimdifleti^ 
iioclletioterillos^ucfiagercturdeefieda prodbdo i&pamuttf 
ftaDtia^iufpendeodmneftjudfciiim. ^ 

Tertie. Sidd effeSmnAliiiuemfroducendumAdhiheMtnryeryd 
tgtotdy falfij AfocryfbA^abfuriU, non cohdrentia yaut facra feJ{ detorta 
U fenjus alienos^ aut ^ad ifuem nohfunt inftituta > vel fi aUqna nomina 
DEI inco^nitd fignifcationui^l etiam ^Angelomm nomina ignota in^ 
ftrdntnri^uienonnomtEcckfia ; Item ji adhileoMtiir certi charUffe^ 
resjdi/t ^gur^t aU^^^atitcrucesnon ut ofortetlocsad^dcjormdtd^wl nhi 
noniportetf^fitd.velfuferfiuecertisbcisacnumeroiteratdsltemjiiji^ 
^nattiralieifdy^ni^ilfertinemadefieHnnf^^ " ■ 

atmydidkolicmeStefftifni, lu Detrimhosco ctt, t^tiiasft, £xetRpU . : '^^ 
pltinfQa buc fpedacicia a&rcmm infraiCumagemusiiftoloirode . ; 
tMi^^gyptiorum»Arabum,8caliariim^gentium* . V ^ . 

^uarto. §ludndoeffe0m tribuiturc^tnritAmidtdhJmu 
tiis^nihmddmfeculiarihmadid defgnatia^ntijptodfitriab^niddehedi 
ttrtisdiehmfiihorii^dcetinmfieUarmmfknmf^hc 
nm&candeldrum^certJicorfonisfofitiurdjn taliichartS^tnhseidom^ 
fgnrd^ntali mdteridy cutntaliinftrumeniOy tdtinm ^horum frHatid^ 
ne\ diaholicnsrB. Exciliplaaaeremusin Mn^a ^gyptiorttmi& 
'inMagiaAriibmecicay&ahbi. , > k 

Duo tameti extr ccoa ca venda func i n inqUiittionC^niim ef^ lExMmn 
fe&usabqui fiotOiaboliopcraprodudL. Primum eft^obteme- ^ovmds in 
r^ilarimceoieamiis omncs effcdus cfle oatutales^quia f^jpe Dq- '2^'^ 
noD qo^damoaturaliaadmircet^uttotueatttfaleputecsr^Alce* SagU 
rue(^ octiacr^judicemus diaboitcoseffi^i nammultatniiii rcrfi 

D 3 naturae 



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30 Partis I. Liber !• 

natuf se noftram rcreiitiitn efltigiunc, ut ak S. Augu^. Itb.ii. de C i- 
vic Oct cap.^. Arcificialia dikerni faciJ^ pofTunc > fi rd Magtftnk 
tui (adquem percinecinexcerioriforocxaminare. & pubucum 
Itccncias co^tmonium dareijs» quifimiiia cra^anc,qu«fiilpe^ 
/unkj altisT^ab ea4eputacis , vel conf eflark) quoad forum incer*- 
ntraiyocctilc^ fiatartis demonftratio. Hac ratione didiri ego cum 
P.Ath«^6 Kirchero>naturjtleefle>8caboiBniimpofttira alie* 
mim>arttficlum exfpuendiomnisgeneiis vina» aquas odtmferas!^ 
oiea,ignes;dc quofcrtpit in M ecfaanica Hydrauttco-pnevmatica 
ptNXe^^Gap.6. Machina^.' 

G A P U T VIIL 

! De effeMw quos Magi ope 'OAmomm 

TRipIices effi^dus C^Mgi ope Dxmonimri producerepoflunt 
&folenti verosiapparcntes» & mixtoscxveris&apparenti- 

Uiip qms buS. 

$fiam^ X- £tqiitdemqa6dTeros altquos cfieAns^ verequenaturaiHk 
fZa^ producere pof&nt^^dubium nullum cflcdebct» quoniam D^mo^ 
nes lut>entperfedam rerurhnaturaliumcognitiohcm , & vires 
vaientiflimasad applicandum a va pafsfvis'( ncc cnim peccan-' 
doamiferunt donanaturalia , ut ThcolQgiomnes fjiencuf cum 
J>.Vh9fjfi0 Kttoi^z^m cap.4.<icdivinisncnifni:}dc1nfupermu^ 
tiplioem habent cxpcrienciam. (^areii per Mm^ verum ati- 
quem eftedubi produccre voliuit, irai tpk>rum vircsnon cxcc*^ 
dtt, ic Deus id permitrit; nthilprohtbctquominilsidefficcre 

?offint. Taiia opcra fuerunt muka cx ijs qu fccit Apolionius 
'Yanxus^utaflicrit 5./iy/?//fM^MartyrinrefpOQf adOrehodoxos 
qtiarft.14. Idemaflcrit5.L>^irg/^/><«r varii^inlocisjoclib.^ dcdo- 
drinact^niHanacap.7.&8.inoperc83.qq.quxft.79.&alibi. 

Qu6d ctiam tepc k Mdgi Damoonum ope producil tffk^us 
nonfitRveri,fedtant^mapparences,& praiftigiaconj ; fndccoi* 
Itgas s«qu6d Dxmon pater (it mendacij , ac promdei^us fallat, 
- * ^octK 



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Prolegomena/ $i 

& ocuk»per(ln6|^wtaliisiei^busUl»Iat,7 

gioe -f &qu6dD£UsnoD fcfQperperfiH(jUt» tti;verieffi^^ 

quod m gratiaiii j}/ii^mmfaGere rellettc poflet > uode^ad pracdi- 

Siascociragft,oiiiTipoteQua ipiiusdetegatur. H«cduo(ivera 
mt»certumeft, iU^^efficerepoilealiquaiSitixtaexveris&ap* 
paremibtts. 

Appareociuffl » feu pra:(ligiM«nini.efted4iu^ 
tioia nkstDeiri0s iib.Ki:ap.r4»^ lU>«i^quae^4$, difquint Magic 
ex vari^ Auaoiibiii. Ta^jaei^aot^qu^ tetttttrmhiitmim \n Ckro- 
ofcoHirfattgienfidequodam {(MjieoMpdico^ quitempore Lu- 
do vici iniperar0ris Auoo 876. (li^^euda quaedam coraip Prlnci» 
pibus Viris faciebac yidebatur epiro hpmtoibus dcvorarc e* 
qottcm boplMoacbum» & CUfi;Mm onuft^mi ^spqcum eauis& 
aurigaiamputare capf tain^QU^tt pedesraliorumje^quepeluCut 
apparcbatrimfKifitd prsbeba t omqibus (pediiattda» fanguine ftil- 
kotia,& ftacim(uoi)u«quelocoTe(btuebat) veoatiooestd 
fiones>baftiludia,&.cj|y9abomiDes in cerrisagicant, eaina£reau- 
diri fiicicbat ( foedia bri^m^ bor(unii amoqnitfl^ttom in Qxizxh 
palattoyarboril>d5, 4ief bi$^Boribu«»ayiculiscamiUaocib,us prq^ 
4klcc6at. fi quh pedematcraberet alterius, pei^fubiequebatur»^' 
kofM.mDoxttii pcrfiftebtC' Taliaeciamerantpleraquequasde 
Smiooeicgimosapudi>. Cltmeftum X0mm-l^.i. iUcogoii;& lib^^Mi* 
6^CoBQkotisu^Jiip^^6iJfk^ facram ^4^> 

Scriptoram > eom ex acrenovum homic^m crearflciqujbus yolc-/^ 
ku^mvifibilemft^bDras^laxa quii2hltttmf>i|ttecrail4^(l»uasani. 
maffom fgaem pofitum 000 jirfifie^ dua» v^lut Jaiiom>&creS(b;^ 
bcD€emfi(o(lendii[c>tnovemimtcapflam(einimuca^i inaerem 
fiiblaaim volafievaof tim plurimumexhibuifle^repeote faki prasw 
eepific ticip£Lirct& meceret^ieamque tvifie>ac dewpldplus cac- 
terismefiomies^tflettt muherquaedamper pluresfeoeftras a^ 
ticoim tarrisfimulcodem tcroporeprofiHceret:» pueri violenter. 
BccatiaQimaiTi adjttramcotisevocafiei (Wtuasambulare fecificf 
de iapidibuapaocs fecifi^io coovfviisonfioisgeoerisfpedracx* 
hUwiilc ; dbdilc utvafa vidcreotttii fiia ip«Qteiii»veriad miof- ' 

^ ftcriuott 
i ' 



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J2 Parsl. LibcrL 

fteri um.tjs qui tfi pdrtabant, non yifis>ac ut nattlcaeiiaibr«fe pr^* 
cederentjquas^dttebateieaoimasclcfqfidoninii. 

Talia prjetdrea eralit, qda^ reciuc Dekim^K DmhrwUlih^ 
zytmk 2 de2.yto<3!6 Bohertioc^4g^ , quiartem fiiam oftemans, nunc 
iSS'*^* fua^nuncaltetwfacie ae ftatura^item m pttrpura& tertco» ac coo- 
feftim in lana dc panno fordido^ regi ie ofiereba t s ambulantiai» 
in terra , ipfe tanquam maquaadnaYigabat>aUquottes equis rne- 
dariisivetttifh > gani^gaUinaceisadepiredium (uum aUigatis, ft^ 
qtiebatur > con vivas prxterea regts vari^ ludebaa. Interdum 
nim manusiNoram^n^ iUasadpatinas porrigere valerent» in pci^ 
des botimi ififterdum in ungolav equorum transformabat \ & alU 
quotiesfronti illQtumcorauacervinalaCiilimaadiiciebat» qoo- 
tiesirideIic^fei^ftrbadfiibiwmfpedaculumpro<f^ 
ru^tis capdt & bra ad menTanoreferre poffonc. Atque uc ofteo^ 
deret fepecumamqboque proiifu fuo facilico&flarcpo(!e» tri« 

ginta fties benefaginatos e&manipulisfbbnieffinxtt ,iliosquepi« 
:orfcuidamioc(ipleti venalcspropofuic» quopiftorvolaicpre* 
tio , hoc tantdmemptoremmonens, nfcgrc^emnovumad flu^ 
menlotun^ coihpelleret: quil ilIe>monid«ien^l6&4> cemicm 
ddmine manipirfos Auitistre, fuibos (ubmeHis. Pffk>r ergo dni 
yendttore qusefito , atqoein tabema vinaria tandem repera»» m 
qua porredis pedibus ftifeamno*recubabat>dum Ootiiaciiaban- 
' V dmaltiropeddborrepcumexciiafe^vti^ 
nuscuthcoxciii4icea\«eHit» - - > 
Muwum Ta!kiyfcnique«jii|B,ptado4«ftim5^^ 
/r^jf^v» PrtncipesqUidamttliiUpij ^coramfefieritinebancic^jusmodi e»* 
vMtu. rant^resfeitTeasfine Mdgnetey^genteaspateras^&fimtliamagni 
ponderlsfir^rinenfa locstta^nefuniculo, velulioinftrimienca, 
abtlAo ettrertio ad^ud ftibfaicdocia attrahero^ chartam itffbrta 
abdlio 0x toto fafcicolo cliUn extradam, ib manoexcrahentis 
ihanentem,novaindudaforma cer facereimmucari fpeculafa- 
brfcari,in quibosqujt remocisadmodumlods fiebant, videban» 
tur ; triom horarum^pat^o arbalcolam veram fpicama; longica* 
difie&meBfafiKereebafct^ ucSeaUasarbofc» Aoiodiferas&fhi-^ 

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Prolegofflena. 35 

di^crasicercp }vceitia;lumtQe Kccnfo efficer^ ut omoes aCntdo . 
apparercnc capicci & ali^i liuiu(modi>quar etiam i n Udnnk BMti- 
fistk ?0m libris de UAgu nacurali contf nencur ^ 6c 4 nobis infra in > 
Magia Pv^aftacica examinabuntur. 

fimulacos etiam dc prarftigiatoriosefTcdus pertin^n t^ quar 
.de iocus lllvffis i Circe Mngii in varias bcftiarum fpecies trans^ 
formaas cradiu mem Arix (unc;ni(i yeiimus ca in (enfu morali in- 
telligae. Itemquac narraptur de Arcadibusi qui trajedo ^uo- 
daai^la^oTectebanturinlupos. Etquodnarrat^.i^A^i^JiK 
iSL deCiTtc. bei i cap. i8. dicens^fuiiTe (uotemporein Regione 
qaadam Italia:(labuiariasqua(damtnuiieres» qux viatorei,qui- 
basca/eumdabantveneficiis imbutum, mutarefolebant in ju* 
mencayeorumque opera ad portanda onera aliquamdiu u(a?irur- 
tus to prifti nas hominum figuras rcformabant. 

Huius gcneris etiai^ aliqai puciuitmukaefle > qqas ThiU-Apam^ 
fhrsim de Apollonip Thyanxo in eius vita narrat , nempe^^^v^» 
eius tiidaftria tripodes lapidcos foonte^uafuidemotosin con* 
TiTioapud Jarcfaam> &aliosBracnmanes r&abarrcis pincernis - 
calices in gyrum circumlatos clle , certfi menfura vinum & a- 
vpatOi mifcftnm,ft: Cyathos oftercntes convivis» nifi velimusdt- 
oenca ^uilieautomata^illis (jmilia»quas retulimus fupra cap.6. 

^ ( Hiiceciamceferunt^iqui (UtuamMemnonis indelubroji^^^ 
Seiapkits coUocatam» de qua rcfcrt PhiloftrdSm lib . 6. cap.^. vita? jkriM* 
ApaUooiif fi^oly^^m moremodoqucliominumlocutamdle-^ 
i]^radiusiolisorientisosciu$attigi(Ict. Quodiiita 

_ ilaMnonis arte,& pcr pracftigia id (^bat,ut fatetur et- 

^imJt^^bMMiifi^km^ Oedipo^gyptiaco toro.A.CIaffe 
jSxi taitien noQ bumanam vocem, (cd Ivrar di(rupta: 
uath Memnonis edidide traduntt quod quaraiione 
rfieri ppiCt^docet ibidcm P. KircherusySc uqs ex ip(o in 
„ 4 ooftraHydraulico pnevmatica part.i. Cla(rei.cap. 
jf^iSSiim^* Taceoiniiniualia, tumantiqua^tumrecentiaex- 

jMoopiomiiiumefFeduum hadenus recenfitorumj alio* 

£ (um* 




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34 Parti* I. Lib. !• 

rumq*. iooumerabilium > cum oec oaturales , oec artificiofarcauv 
£e fdooeac ailigneoturs a quibus depeodeaot , meritiO prasftigiis 
adfcribi debent^ Quavero ratiooe Diabolusea^cfficef e poflit^ 
VfiOK dicaoL li^terim ad di(ceroeodum> nurri glrquis effc&tismi^ 
r^ibjlij k MAgis pr«ftitus, fit fiocerus> ao fucatus,hacc eftp Regula. 
gorJmfu' effc^MS Migtcus eiujcemodijit. vt fotentiam DdmonUfuperet {quales 
cmosMVi finf/fui fili pofentidjdivin^ refirvantur^tunecenfirideoet frdft^ 
^ntndos'^' /ww ^M^df vero non conjlaf eurn virthus t>dmon£s Juperioren^ ejfe^ 
mn os, ijl^hj4^fi,^oportet recurrertadctrcumfiantias. QipufqUfc vero 
fcDiaDoli potcftascxteodat, difficillimum cftli5miountclWgci 
riC, lo^c tarococooveDiuotThjeoIogiomoes, ooopofle DaET- 
n;toocm>autj^^os yecamiicacula patra^re. Sed de bac re iterum. 
Cap.X^agcfnus- ' . /\. ' . • ' , ' 

Dxmbdu qiithpis Magi of e DAimmm fua 

. ' vj :;— (ifcraeffciifjitJ\ , „ /--.^ .^^ 

Mngi^ui* r\ Cridqufd';nirabilc efficlunt>y^^/ opc DasjrmnufiHfeu vei<^ 
kwwodu ^^^cfficiant, feupcrpra?ftigias,unoextribu5hifcemodf5e<B€li 
tumt^^ unt, nempepermoturti localem, perapplicationcmaSivorum. 
4;j/4%ir!cumpafttvis;,8cperdelufibncm. • .. . 

mtu locAii ' Admotum localem quod attfnet-/ pofllint Diempncs q\ijA 
libetinferiora corporamovcre,dummod6e;5fnfejicftteord0^ 
V^^D^w^f ^'^c^fi 9^ turbetur,&.dummod6 noh impediaotura.D f^&^ati^ 
nnm.. abAngfclls boofs: & quidemmovere ea poffuot ccJerrimi,<itTiift , 
autnevixquidcmabhumaoisfenfibuspercipi po/Iit>nr<umco^ 
p6t;l3m motUs. '^^ro^bant.hoc aUquj ex co^ tju6y Angcfi; fl^ cotrf^ 
^queriter piEmpne^ (qui , ut fbpr^ cap pracccd: d/xtcxi>/^>f jjf>*i!t. 
reef. peccantTt) nattfr^ina dona^orumhaturd^^debitaiiotj-irnSl^- 
runt) poHiht ofbes coeleftcs cclerrimomotu rAovcire. Quai^ta^. 
m? n feot€aitia.pofito etiam, au6d dareoturorbes ca^lcftc^/bfidl,, 
fclmpec Yifk mihi fiiit ridicula. 5, quia* quodibet&ljflis jfetaotia 

^ Boffictc 



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verfi ccntruJD mpycrcntur , 8c nunararipnercfiftcTcntmotui 
EiBcadusjirgumcptt|nfi eft,fi dicasiAngclos pofic movcre, & de 
fado movcrcrfrele^rlfnp motUjin coelo liqu 
Planctarum>S(quidQm variis motibus,&rcfpccl:u ccntri univcr- 
(iccccotricis. Cum igitur Da^monmovcrepofiltcorporaloca- 
limotu veloci(|imo>poteritutique rcm aliquamfubtrahcreocu- 
hs, & aliam fubftituert tam ccleriter , ut animos oculosquc iotu- 
eatmm£illat>eisqueperAiadeatpriorcmin poftcriorcm c/fecQ- 
verfam. Tales crcdit Delrifis fuifie gentiliumMctamorphofcs« 
ot Dioniedisfocioruminaves, & Iphigenia:incervam> 8c alios £^^iwi 
Gmflcs. Talem etiamcreditP^^r/Mf incap.7.Exod.difput.io. iny^''^^^^^ 
finc, fuifleconverGonemvirgarumMagorumPharaonis infer^^^f^^^" 
pcntcs^ dequareitahabcturloc.dt. Exodi:v.3. Projeceruptfffft-s^^f^i^^z 
fuU^vvrgMji^^y^^^ virfdfuntin Vracones \ dr devoravit virgd Adron *»*'**^» 
wrgas eorum^ Quamvis cnim varij varie explicent , quombdo s#i^« " 
convcrfioilIafueritfadaiprobabiliiistamenputatP^rw«tf,poft. 
quimc^ir^iprojeciflcnt virgasfuas,Da:mones, nonadvertcnii- ^^^^ 
bus , qui (pcaabant, eas fubito a confps^Jlu corum, qul adcranc» 
latcntcrabftulif&> & incarumlocovcrosferpcntcs, & moIea:- 
^aiesipfis virgis, nonquidemtuncibigeneratos , fcdvclanti ' 
pTxparacos, vel aliunde tunc cclcrrimc allatos > intucntium ocu- 
lis itafobjeciffcuc virgasinferpenccsviderencurconvcrfas. 

Qaod accinec ad applicacioncm adi vorum cum pafli vis^pof ^^fvs 
laacijdem Dacmonesplurima &mirabilia cfficcrc, alccradonc^^^^'^'' 
icu mutatione rerum , quarurt caufae nobis incognic» ,ipfis vcro wir/Me#^ 
notiflimxfuoc. EcenimDa:mones nacurali folercia, & diucurna cmmMsr 
expcricntla,omniumqi nacuraUumrerumfcienclS, noruncper-^'* 
Cemflimc occulcas ,& admirandas rerum faculcaces , & viccuces. 



cmicrov^am cft > lopg^ majorcm & perfci^iorcm enc in Dx* 








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niobe, 



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}5 Paitis I. Ub. t 

fiiooe>qQam!naIIofapicncomhominumfir aucfueritonquanir 
cognicionero arcium omnium^&: doddnarum > refomquc mira^ 
bilium> quxcunque aucocculcis vircucibusnacurahbus,aucf nge^ 
niofishominum arcibus » quibufcunque inftromMcrs &modis 
poiTunc effici. Si faomines igicur per applicacionem adivonhif 
cum paffivis, & per inftrumenca arcium > pofTunc efficere cam io- 
. geniofaik mira, uc vidimus in praecedencibus ; quancdmagis fi- 
milia> auc eciam majora , per Magos DaSmon efHcere pocerit?' 
Hmc mirum non efl:, effici (acpenumero i Magis caha , qua: oec 
Nacurxfolius operacio,necliominisulliusquancumvi^ ingenioh' 
fi & folercis induftria effccificc unquam , oifi Dxmoo iflos juvif^ 
kt. Nuoquam camen huiufmodi Magcram opcrsi itacurx timr- 
tes.craorgrediuocur^ e6 qu6d vimoacuralem caufarum oacura^ 
Iium,aumus tuoc uc ioftrumeocis ucuocur, non excedanc. 
ifilmlUm QuodaccioecdeoiqueaddeIufiooenri>cot}rugicadillanTDTa- 
mmkM^t' bolus, & eius mioifter Magus ope Diaboh,quan do nec motos lo- 
]^^^c:k\is , oec a^i vorum cum paffi vis applicatio , fatis juvaocacf prar- 
ftandosUloseffeduSiquospraeftareveilenr Tunceomimenda<' 
cirpecieilludooci[eofibusiiomioam,ucfada pucentur, qua^mr- 
nifoi funtfada. Tribos aucem pociffim&m modis decipit Ditt* 
bolus , 8c f ius auxiho Magi, videhcet vet mutaod^objeOum, rd 
atfremmc(lium, velorganumfenfas, ut optim^ dedodt AfoUMi 
top.r q iit.^c.4 &ipre/7r/r/iw^hb.z. DifquifitMagic.quasft 8. 
jDtlmJHmM Mutaodo objc^um deludunt, fri/wioftenfarOm rerum ce- 
^^^jf^^leriagKatiooc, fubitaoccultationje^varidcoirocatione, fepara-' 
4kuammK cione, vei conglutinatione latence.utfaciunccirculatores agyrtaB^ 
variisrfgaminibu$,globuIis,fcyphuhs , Scfimilibasdeceptioat^ 
bus,veTpotiiis,ucitadicam,dextentatibas, quarumoonooIJa^ 
aSeremus \n<J^{agia Ludrica. Secundo per artem perfpcclTvas cer- 
ta qoadam difpofitiooeobje<^iinordrneadocurmnvidentis, uc 
quadratumapparcatrotuorfomi diffipatum vari^, dum ccetto 
K>cofpcftatur,.videaurrco1ieftum;defbrmeformofum Sieoim 
ars 8£ N^atura tam mira exbibere pofiuothacratrone , ut vidtebU* 
mus ip Magia Optica^Catoptrica^DiopcricajParaflaticai 

cadem 

I 



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eailehi exhibcfcf poterit X>a(iyH>n|^s MagOs i Terfiihhitz for* 
matione objedulicuiwffx^lfiii^pf ^erCiUt quaiv^ 

doyel ipduAvLmnnti yf|$4teriiriEi:p|H^i^ponunt cxirpus aereuni, 
fiyephaoitafticttfn » finitle rei|Hi|MHtt^ SMrr^apponeodocor- 
pus aliquod mixtum>puta miaeEralei q^upd vi (iia naturaii fit caufa 
iitcorpuscuiapponitur,)ongealii}dappare^t. ^ 

MotaDdoa^inintermediufQdclw^u^ Mutmid^ 
oc /^cies ad oculum»yel:alium (eM^f^ rdeferantut. Hac ratio- ^^^^^^ ^ 
«epo0unt occulta^.yilui yel lowm objedum^ yel certam eius 
partem. .f^riyW/,fi medium^imbuantabquaqualitate»qua(pe* 
cie^permedtuffltran/euQiesikmodificanturyUtobjeiftumnoQ . 
qualeeft rcpnrfeAteot MQlioa ioc.cit^it>fi aceto commirc^tur 
^I,6c iineus pannus i dacetyniJbjene imbiba t^po^modam fuppok 
fita caodela ioflam<nt!jUjtpanBusi tpeciesxju^difiundunturpejr 
OKdiumfaacifalnmaiikimmatHm, formidat)iIesaclmodum f^- 
cies pntfentiuroexlifbere^ BtGml^elmwP4r4s:ip^t,n\t. dt\xnu 
ycrfo, cap.zz. docet, fidefeniineafininodccerafieretcandefay 
qua? foIainconYfi;ioIuctr«!t> tom«^s cooviyas ^pparituros onor» / 
cepbalo%/eu captiibusafioiqisinftrudo^. Item fi^juncos & p^ 
)eas humifternas tn cooclayi dliquot^lucernam de qua & corio 
lei^eotis (ulpiHirataacceniam ioferas» videriierpentts fah 
tes. Sedjiacc & fimilia (uo [oco ex^minabtmus in J^agia Parar^- 
ftaeica. T trtii , fi^medium cifca objjt^^um coaderrfetur i tuoc e- 
mm ro9ta»ir objedta/p^us app,are«oue & majus ^ ^ alioloci> 
quim eft , ut patct manifeili in nanmioiotra va^plenum aqu^ 
coQje Ao^oidicemus in Mag^a Dioptricai.^Mr/#>ii 
mul (pecies tn eo exMkntes m^ veaocur. Hac ratiooe putat Dtt- 
rim delufam foifle Claudiami de quA jHiftorici Rbmani>& D. Au^' 
{«/f^.lib.io. de Civic D(i c^ i^^re^erunt^cum mater Deorum 
exPcffiounte Phrygi«,navi Rom9mveberetur,navJsqneinTy- 
behkahzfijlet > ut ncc faominum^nec boum vi locomoveri po« 
ruiffer,<^ fuam probarct caftitatem ( eratenim Virgo Veftalis) 
dUcioxitky zonamquenavialligatiseam.qu^yolebatideduxie; 
Scd iion video quomodo id fieri potuerit per motum aeris (pe- 

£ j cies 



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38 Parfts MIm» I. 

cies def^^eDtur p6i^ cire^idtfHifi D^al^lum (gicqi movtffea» 
-^«q^tldfiain S^i^hom.^^^p^kkitPoittti^ >Kn. ^ pucecrd fie rt 

'kmiii^dtietdt^fieiAiio^^ vtfibiKatn, ot uoura 

obiedluiii yjdeacui' tHot^ ■{lienim^atopcrtc^arcefierj poflunr 

'4uidfaifctiatii(t)iitboId§'el8«fteftut ili4f(rttid^etepoceritf - 
flf*"!i' ■ Wdtaridod^hkytl8i6i^««ta|»«tIaB«f*lw 

tentorgant fituin,utobje^unfi apfKrr^talio JoooquAtnrerera 
efl>aut appareatgetniriiilt) ) pr6uvetiatnconciil|h:ifi 
prbffo erevesdiitdepri/has^^caiom, aut'n'<^;edunMn mediocri 
diftantiapoiicuitt a/picias p^r cahefcHds itattituna canceilorum 
viiiga Itfc baciilqs-atttb ot^liirnf 6fiQii^>ditN<dati/b«ciies objeiftft 
proUtf^petnihi cbndgic,i}am i^tfaottifitofihiirrtbiiiplo afpioe. 
'rerh £cclefiafti»h prb (ugedh dicentem. Sttion^ G iiumores ocv. 
gani agttehc,velpCrcorbenc}ficenim resaliteriapparetquimeft, 
aut geminaca pucatur,prouct<M)crngit ebrils, & rariofis. 
& reh^tibhem imptBdi«fttc,cr*floaUquofaarhoreob(iruendovi. 
s^,o^Q}irftti$ adorgihutnperv^iahn.ime quibus/en(atiofien 
nequit. Hac racionb foit^ Angeli percufieranc Sodomicas aoro- 
fia feucaedcateiuchabecurGenenscap.i^. ^4r/\^icacom- 
6at^ztifi 9c ordinehc p^ahcaflhaca ,Jttcqtiis eciom vigilans (bmniet 
thott dotmitehcHhn', 8c phtitfe 6afennre> qcuenon (kwit , ihflat- 
^tffihifcohitrt' '- '- - 

Onh ver6'hdihin^^ttcanc (9 eife ihhcacosin beAias, tunc 
' ' non brgimum cknihih' eft hyotacom , (ed inctfrdum 

' ' Itldihlmcdii!ihi,femp«rver6iii*uleft 
■.^■•■v :;..=r:'- • • • '.pttwtaliak/a. •'.>-.t.w. 

• ,-i r ,y.':; • • -.'•• . i 7,.i, -.;„ 




CAP. 



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UOo eopMMif 4i/ptttat 'ptrtfm)vi^ cap. 7. ]fe3a.*l!Jf?[)aC"4."'8c' 
^ Delrms lib.i .difqui fit. Magic.a qua:ft:. i o ufquc adfiircm-Kbriiilil^i:^;?! mv^. 
exquji>usquaiinbrevi^rnftehafcp^,ucad/jrp|^j^^^^^ 'J^i^iiOi,- t v..-..;,, 

tfXjccditQjiTOemvimagenciumriaturaliiirn. Kec pofTunt Na^^"" 
tufiMMdiiuimMniniiWCIi^uif (oliusD £ i, qul euht confVitumefp ' 
anoHHK B miWIft ;,-JHwftn^yepn^ gf^re jjpi^q^ ;hocift,^Af4g; ^** 

into«4ilc^}j[}M^ ho<Hci.a^.r^ . Nec B^*i^Mi[» 

bfjF3t,qtii»Qtttl^^|ifralW,Amt limuacxi. l|Cee caUfkt^' v^drifm^. 
quia noc Natura abhorret; & nullaadhuc experiVntia idftSfhjit^ 
tli^igff^imimm^V^W^f^ npftjiTsyd^i^idd-pn**a 

tiijl fflffWw Wbl^qwfe» .aIiq^94/l?JJ^Wen tum ohfi^Sm 

<l i y|i[^»#r »<^jtS,af^e9l^a^ q^ar^^;repetite flam^iat#^^«/-f 

llMQpg«lirOTWC,6caliaj|Mccicvquxnio|;uJp.c^^ 
lliirtllilBIMifto^^^y^^-^^fyPT^^Jjvid' > auc impedirC '" ' I^ut^t ri6ii 

j«ficladeDciumjM^cci^r<iWr^uc decipiant h6rriiiift5j^^t2|TO> 
glllrifflHB^^flgtfj^e^lffftege PJbijlpjTopBum >^um h^c oltiriia na- 

iminl{j^(fta4n^<SR9Mf^ce^^ 



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^o' Partif 1 Llbcr I.* 

. inAtax cacumin? iJitcs ilUfe.maoent, abdteum cTc Natur« 
Z. fccrctum,au6d flamma nimis yiolcn ta propulfionc cjcda minus 
f;t..rj;aivi«StfLbeati^^ 



t. 



**^-e(ro nuii£tnamf«piu$cominu.s8ccnMnus.infpcxi,&liuoruman. 

LSm fpatio propi! kabiuvi, nivcs & ftimmas conwmpUtus 
ii^i^S&igocosAuyioscruAantcscoorp^^ 
»*^Sum agholco. Cratcr in fummo vcrticc . c quoflamma 
S^UuumomixtatiamcoprofomtdumBo^^^ 
• illumfublimJin propelHt ad f<ixag^«a milliuni 

nafluum fpatiyp^argiffimus mmc cft. ciim olfm anguftusfiicrit 
LSSrbirciimirafta lunt,occ nivis vcftlgium appa- 
St M^^ignis iruaans pertingit : infra cratcrcm pcr montis 

g^ramS^Qfpatioa.ffufx font nivc** & mira nivcsat^fui» 
LtfXx ^olimaminirim^^rf^ plcr«IUcigni« 
etScns b laterc montis abfumpfit. AccoU montis eum= vo- 
'Sat Det-iocum , cleticum linteatum , fupcrpclliCeo «dutum. 
^niam capite rubct, ab humcris adgcnuaferfrcttodicat, ca:ie. 

?i!SStpo&^^ frugibi^et Jihlnaalibffi ,prtfmye^' 
TenoSfnSo^partim rcs.furt?. fubduccndo. Pritcrca tfdt 
S^uscomburere,Viaoriimkarc,captivbsV,^^^^^^^^^ 

dffima convivia cxhibcrc, thefauros rtabifcftirc> fuwdare,fi 
DBrpcrmiitat,quirara>rmitrit^(r.^^ 
Atticarc<lPu4. fuiffeqMtdmtnJfirtc^fMMhBmikHmvtce^ 

^^4ama«tem9fmtitrh^c^^^ 

nSScnimiri/m intcrw clanculum adfcrentc Dcrnicicrt. 
53S^baiifq.Magic.qu«ft.".aflcrit . Trcvinsalfeaamfiilft 

feiatimorup0Ufciofa|aiA,^^w«''w«^^^ 

hstaul8cbat,KcclcnimcIace6transf>om^^ 

Tertio po0ufirftrasincatttare,maxiliftfcrpeote$,ueiiiiiW5 
wftitponii$ScxcTnplisprobatD^lrwloc.dt;qu^ 



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Prolegomenar 41 

malia imperfe£l:a,utmufcas>yerfneS)raoas> 8c aliahnjusmodiia* 
feSay&qcueeK pucrefadionenafcunturypofluntprpducerece^ 
leriter^non quidem creandojfedadiyapamvisa^plicauda £c 
fortc etiani pr oducere po^un t quosdam anfcres impcrfcdiores, 
qmliQftltigigei ex deoiduisirudiDus arborum m Mari putrcfcea- 
^bms,vel(ane exHgnis navigiorum putridorum>ut norunccoii- 
tiDgere Scoti >& Hebridum Incola:. Hoc etiam itioda aliqul 
yoluac enacos ferpentcs^x yirgis Magorum Pharaoois rubit6 
DxMoHem ope putrefadis. Perfeda aoimalia , ai^iva paffivis 
s^pficamdo producere non poflc> probabiliuscft,quiaaa:cex 
pticre&&ione non pofTunt nafci, fed folum ex prolifico parea- 
tnm femme % oacurahcer \ quod c^m oeceflari^ vicali «alorc cq- 
qoatiir>fiequic Daemon efHcere. i^oceftcameoDacaiooaliuode 
accepcum fcmen,Sc probe conferyacum,in ucerum macrisioibo* 
dere>Gcquc perfeda animalia producere. Poceflieciam prodtt« 
cef^quaedaofiiofolica niooftra. 

^usrihy non pofluntcorporaadquaQCicacemexiguamcoo* 
- trahere > aucpeoecraciooem corporum > auc replieatiooem loca- 
lon fisicere^quia hasc D £ i fuocopera peculiaria. Quid ergo fit> 
com fkgxicMdgi muftdaram autcattorumibrmaappareot> 
per jaBuarum rimas peoetran t f K efpoodeo> revera ouoquam 
Ugfuad illam parvitatem contrahi,(edrchquamquaotitatem 
0€eiricari>& figuras illas tantum apparere. Citm ergo feoeftras 
aarjMU^iogredi volunt, Da:mooceleritereasaperitatq;cIau. 
dic,ut fe per rimas ingreflas i pfa: fagx opincotur. Nuoquam au* 
tcm redauQC corporainviiibilia>nifi veloculisfpeiSatorumim- 
pedicis>y el corpore ali6 traoslaco ex oculis>yeI oimiaaeds agica* 
riooe,Qefpccicsconfiftant. ; 

^mMri,non poiTunc verb corpora ab uoa fpede io aliam 
traxifniucare>n prxcipuedeperfedisfitfermo. Ciim ergofciu^ 
ri,\upi,cacti fieri videntur,oeulisdccepcisadfcribcodum erit 
- Potcfthoc confirmari e Vitis Pacrumde S.Macario,quif«mi* 
nawi ae m»tn converfamiblusagnoyic efle£crainam>quia ocu* 
liipSmflUt^ Quinedam cikmipiis/agistales 

F forouB 



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4t 



Parti^L LiberL 



S^mx appareot, videoiur eadem tUk mah i oferrl » qaae aoimaL 
eulo illiilkitafufic. Confirmathoc DeZrMr iocxicCqpacftji.& i& 
^eftisexemplis. 

^^ji^^iioa p(^[iMUJfl4g$aj^ Dasmonum £u:ere>iit bedias, 
fta tua:,arbores,6i ikniIia,loquantur apcicutat^ Qiare cilun hu- 
jusmodt coatingere videntur, Dxmon exaere nnvmat voces. 
Nac fraudeliomicidQm caputprorfciflunriBdicavit cer-cydaro» 
tefte Arift0$ek\ih.j. de parttous animal«.eap« lo. & Orplicicaput 
prxdixit Cyro Perfarum Regi» eum quoque k muliere necan-' 
dum , cefte FhsUflr^t^ m Imagio» Hac eadem fraude loquaces 
fiiere geminarcolumba? Dodone9,&qtrercus>Dodenea,fi& Ac- 
guscarfoa,fcequus AcbiUfs,Sculmus Gymnotophiftarum^quas 
ApoITooiumfalueavi&,&caQfus ftum5,quod^ixity2/x/e Pyihdg^r^^ 
^ canis Simonis Mngi apud Clememtem ial tinerario. Sxpc ec- 
lamcontingebat, ut fraude (acriftculorum gcntiliuro ftatua: Io« 
qui,8c oracula fundcre viderenuir, dum ipfl f«icrificuli,adple- 



imuM dudos,loqucrencur; Vidi^o Roma&inasdibusdodifEmi Viri 
^^^'^^l^oaiMi Hranciki Serrae,EouicisJlomaai,ftatuam i£gyptiacam 
u^Hmn ^^fjxif^Q lapidefTifci coiori9,^cujusdorfomedio adoccipuc 
nfirae , indeque u/queados^patukKn excavacus erat canalis \ ncc 
duDiumqnin ex earum genere fueric^ de qua nunc loquor : nam 
perhunc camdcm e^Jbucca Deaftri fiphon perpaoieccmin ab- 
dicum quoddam recepcaculcim deducebacm', in quo rccepu- 
culo per^ eum ^iecrdotes immurmuratis^compendiod (ernu>- 
oiscfmtisvdc variis con/ulootibus re/pon/adabant Stacuacfigu- 
ram vidcapud P.^thMMpum Kircheritm tom«3« Ocdipi i£gypci« 
fyncagm.t^.cap.L 

Septimiy poteft Dasmoo^^^feBAis obftupo^acere, urquemvis 
cruciatum (ine dolore perf)?rant > quod in tormentis fagarnm 
^equenterfieri,traditD^//«^loc.citqu«ft.iiiqiii ibidem incdi- 
am quoquc ad raultos^ menfes protrahipoffeDa^moiMSope pu- 
cac^ vcntrrcufaiim femper alimcntis referciat^ An ienibus ju- 
veocara poffio t ccddc w vidc Bekittm qiwft. 13« qpiraffimia Ud 

ficri 





Prolflgometnu 4^, 

fieripafle^fiDen$pemiictat:Beccftmcred^ Ciimealmyi- 
deatnus^ medicis vitamdiuiarpe efficacibtis medlcamentfs pro* 
pagari>qualia Drmqties inyenient» ut vitam hominibos prolon* 

?cnt 9 canitf em mutcnc > n^as & alia fenii dedec^ra detergant » 
^ectamcQiequitur» aliquemD^monisope inattcrnum po(k 
^Were, tamquia id DeusDoa pcrmittit» tumqt|ia«acvralis tii 
tandem labefadatur. 

(\?irw,circaanimam in corpore exiflcntem pofluntha^c 
opcrari. Pfaantafiam & ieaius internos pcr humurcscofnmo* 
cosYart^exerccnt^utprecibus mdulgentcscxpcriuntur. Hinc 
£rir«imaginationes5appdntioncs,Tariacquetcntatiooes.Mca^ 
nam& itKcllcdum^orgaoa Anoxiis bumoribus cxpurgando» 
aptas fpecics p^ntafticas ruppeditando,adju?arc,im6Scartes 
docere poilunt^raltem cxtcrius colioqucndo , aut etlam iiKcnia 
fttggcftioocqu^dam apcricndo.Sicimpiis>&hYpocricas3& intcr- 
dumctiampiisjmportunasrcrum facrarum imaginesaccogni- 
uoDcs obtruduDt. In v^luncatcm illis nulla eft dircda potcftass 
quam taracn conantur phantafiis & renfuum titillationibus in 
malum pcrtrahcrc» Pofiunt omncs (cnfuum ftindioncs ligate^ 
ttttneztafim animas cvocatao vidcantur; quodmuitismulicrcu- 
Goliscontigit. Pofliint animam> D£o permittcnte,^corpore 
^iccre» eandcmquefi mcrita cft»cruciarc. Poflunt cadavcra» 
qtutDcus pcrmittit,pra;cipu^damnatoram>inducre»& quafi 
tiva reprarlcntarc A nimarc tamen veri non poftunt. Neque- 
UDtctiamanimasfincDci pcrmiftuquoquamtraducere, etiam 
ittas quas ioferis addidae funt» ut docct DeiriMs quaeft. i6.ic&.y. 
Quidde Samueledicendum fit^quem Py thonifTa quasdam fufci • 
u^cdicitu r i. Reg. iS. vidc Delrium quacft.^.& Ttrmum difput8. 
m€aput.7.Exodi 

Exhis omnibus patet,quidc;}f4j^i valeantcfficere:fe Ipfis 
era&iiUuI omninopoflunt eorumiquae MsgtMm naturalem & ar- 
tificta\an fuperant^nifiDxmonumpr^cntiam certis cercmo- 
oiisaciigais iavitcnt^&.quafi ex pado ad mira patrandainci* 

F X tcn^i 



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44 Partis I. Liber I. 

tent } qulbus Dacmones canti^er fenriunt> <hini eos mUcth in 
accernainftroruin tormenta abripianL 

c A p u T XI. 

7)e Ma gia ^gyftiorum^ aliorum^poffdorm» 

PriElim indicata^ 

chmnM^ Cllpn cap.i.exfra^entoqiiodainIib. Enoch^aliisqueaiifia. 
giM iOicits, '^ribusdemonftravimtiSfUiicitam&execrabilemc^^ 
mOfr^ roundicataclyfmum ab impia Caini flirpeoriginem fumpfifle)8c 
Cham Noe filturo e^dem iDfe<Sum ad pofteros (uos poft diluvt» 
um, pratfertim ^gyptios & Chaldatos, illmi propagafle» lo 
MifrMim iSgyptodcinde Milraim Ciumt fiIius,maItcorvi malumovum» 
M^u ^^Magise&illicitarumartiumfundamenta^patrejada fiimoftit^. 
i^J^^^ diopromovit,firailisin omnibuspatri^cujusa^onumftudtofif' 
jBf^^ fimumfefismperasmulumprofeflusfuerat. Primusentm cha* 
ra&eresc/I/ii^^ & amutetorum fabricandoram ratlonem in^ 
venit ) inf ancattonibus fidera de coclo traxit ; ob quam ctiilam 
abi£^yptiisdtviooshonoresconreeutiiseft. HttjUsitaqueMl(« 
raimi raftitutione Msgi^ii apud i£gyptios tam altas radtces emt^, 
ut ramisfuisinuniverlum Mundum diffufis loaxima ubtque to- 
corum incrementa fiimpfcrit. Hinc Hebra^i contigui primiknft 
]nfedi>deinGrarci«ac Romanl,univerfaque Afia^Aftica, Europa» 
quin & America pletits labrishauferunt. 

Mfjpti^- ' iEgyptiomm Magia pracctpui confiftebat in Gentortmi 
tMMUdsiU. cttltu» quo eosin ftatuas compingebant > & oracula ^b iis elicie- 
bant» EtenimutcxTrtsmefffto & ^MhdQctiP.AthdnMjlmKir^ 
tber usto.i.Otd\i^\Mgy\it. CwffeXI.iEgyptii Dodore Mercu- 
rio putabantjpnttcr Dcosco&Ieftes^naturas quasdam homines 
tnter&tltosmedtasrcpcririiquasAngelos, Da;mones>velGeni. 
os>aut tcrrenos DeosappeIlabant> qutbus omntum oraculorum 
ortus & interitus cauiam attribuebant> tdeoque oracula tam diu 
durare exi(bmabant>quam diu di&t Genii tnftatuts^qua^ oracula 

, £radc^ 



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Prolegometia. 4f 

fimdebaat^morareotur } eaqoeceflare» cumfimulachra i Geniis 
fcu Dacmonibusckftituerentur. Hofce ver6 Geoiosregionem 
iDterccelum& terram interjedam incoierei& exherbis.lapidt- 
bus»aromatibus> aliisquc terreftribus matcriis vim divinitatisi 
oaturalem in fccontincntibus» conftareaflerebant; & quia pro« 
pcQoshabitant^nobisquafiamk&cognationeconjungii&finsu- 
lari amorcergagenushumanumaffici>hominibusque>proutiUo«^ 
ruffl natura &rt> variismodisauxiIiariputabant>futurapfa?di- 
ceodo>aliaque ad nos pertinentia curando. Quocirca in ftatu- 
as quoq; abii^if it^ conftru^las ingrediebaotur > & ex illis refpon^ 
(aconfttientibus dabant^multosquein annos !n lismorabantur j 
tant61ibentiuS)<juant6 ftatua? ex materia iis congruentiori fadas 
ell^cnt»&.quanto eosracrificiis^ Iaudibu5>&harmoniis,quibui 
vclotunicbGeniorumiilecebris deledabantur^ peritius detine^ 
refciebant. 

Haecautemoracula Hierunt omnlum divinationum^ acfu- onuuU 
perftitionum radix & fundamentum. Hinc tmttitrvLnti^xu^rigofHpn^ 
mhm rttuum & ceremoniarum varla: fpecies, quibus ut futu--^*^**^ 
ronim confcii Hcrent, veluti pra^viis difpo(itionibus animam 
purgare folebant. Hinc cum Da^mon obvia qua^que veluti 
gnaqua^damaffumeretad fuamconfuIentibusvoIuntatem,aut 
nblunut£comonftrandam>mdtipIicesorrxc^4^/iedivinatorias 
Ibecies, quacnominis fui etymon ^rebusper quas divinatio in« 
ftitucl>atiir>fumpfemntj^ Sic Pyromantlaab ignc,Aeromaptia j^^^jj^^ 
abacre, Hydromantia ab aqua, Geomantfaiterra, CapnomaD-ainM/m« 
oc ^fumo3,Leconomantiaapclvi>Ceromantiaicera,Daphno-j*^'«» '^'^ 
mantiaalauro^fchthiomantiai^pifcibus^>Botanomantiaabher.'^ 
bis, Sycomantia ^ ficubus> Oomantiaabovis^Rabdomantia k 
^kgiSgAle^rioniantia 4gallis>i£gomantia ^capris,Libomantia 
ithttre,Oniromantia afomniis» Necromantia imcrtuis>Chi« 
romancia 4 manibus >aliaque fereinnumera portentofa nomina 
/imtorta. HinctotapudeostcIermata>amuleta,prophyIaAU-*^^»*^^^ 
ca>penainata,periapta>autfi queisaliisnominibusappcHare ve- 
&^qaa;ci:aotapiftdipfospra:fervadvacontraomniummalor 

F 3 accurfii& 



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46 Partii l LSb. t 

occurfus rcmedia , Da^monisope inftituu;& variismirisqiino* 
dis>ncibus>& ccrcmoniis conlccrata^ quoram ingcnccm copiam 
Jloma: vidi apud varios anciquarios » 8c variis in ergaftcriis i fic 
roagnam copiam afFcic& explicac P^Kircherui variis in locisOc* 
dipi Aegypciaci^pra^dercim co.i.clafle X Kca^, & co.3« fyncag.^. 
jQuorum majora & immobili poficu folidaca^tn publicis iocis ur- 
bium>ccmplorum>cacmeceriorU)Camporum> ad hoftiu arcendos 
ia&ilcus>6c cacodaunonum aftus eiudendos ponebancunminora 
ver6 & portacilia in doraibus^ in coUo^m manibus hominuro» 
animaliumqi » ad roalorum avcrruncationem porcaca (erviebSt. 
Hinc^ut nocavic FJCircherm locis cicads>omnes feth Hterogram- 
matirmi» qu| in Obelifcis c^ecerisque Aegypciacis monumentis 
hieroglyphicis^uti&inTabuIa Kiaca^feu Bcmbina»reperiuncun 
AmulitM practerquam quod arcaniilima qua:visad religionem » & Polici- 
Mijciis»' caro percinencia fignificant, Amulctaquoquc eranc apud Acgy* 
ptiosufurpatafeparatim, & paflim ab lis cx Obclifcis vcluc ex 
archecypis codicibus decerpca,ccu facra quxdam phyladeria in 
coUo^ipanibus^aliisque corporis piartibus^etiam fecrccionibus, 
turo concra diYerforuro roorborum violenciamfafcinacionesq*», 
cum ad animi bona acquirenda porcabancun im6 & animaiibus, 
uc dtxiteandemobcaufanrvclucifyfflbola (teriliucisaverrunca- 
tivaalligabanrar. Plurima hujusmodi Amuleca adducic & in* 
terprccacur pauI6 mti lapdacus P. Kirchenu iocis cicacis> ex va- 
riis aociquitatum promis condis Roma: excerpta, 6c idiverfs 
antiquariis uicr6 oblaca^quin & aliundi cranfmifla ; qua: fer^ o* 
mBia^otipfemet vidi»anfulam dorfo annexam habeno quod 
aperrum ugnum eft , illa filo (ufpcnfa ufibus homi num,& aniroa- 
liuro pri vaci6 inferaifie. 
hi0' ifigypcios oroniura morcaliuro roaximi Magicis dcdi- 

lUiiiitK cifuiflc videncurPerfoi & ipfi Chami impiifilroi» quem Zoroa* 
ftrem fupr^ cap.j. appellavimusjropij difcipuli. Hi, Pluurchs ce- 
ftcm librodcIfide& Ofiride>duoscredid<rreD£oSjaudoresre* 
rqro &Doro)Dos;aIceruro bonuro Ororoazuro ^el Ororoagdam> 
quero folero cenfebanc ; 6t malum alceram Arimanem fi ve Plu* 

tonem* 



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^rofcgomcna. 47 

cooem. Abfa^s duobus Numinibus duplicem maglcamdecTa* 
xerQocsanam quas fuperftitio(acota> cultunifalforumDeorum 
cradebac>&omDisgeoeris(uperfticiones»harloI)acioQesiaugur^9 
an]ipivia>diviQationes>omnemdeoiqueiIticicamfic diaboHcara 
Magtam> alteram quas nacuras incimas rerum callebat> quam ca- 
tnen execrandis fucceflu cemporis erroribus corruperunr» ic ad 
impiosu/u^craduxerunc. QuodaucemdePerfisdixi^incetligeiv* 
dbm quoque eft de atiis i£gypco & PcrGx vicinis popiiii^> uciunpc 
Cfa4Jda:i>Medi,BabyIontj,Syri>PiKefiices,&aIi> 

Ab ucriique ^ i£gy pciis inquam & Perffs , venenumr hau(e- inin^ 
fuiitHebrasi^ucrorumqueconfuetudinediuufi. Hinccocapud^^^ 
iUas Pvcbones,ArioriJDivini,coc Pfeudopropheca:, cot idolorum^* 
oracuLa» cotin fcripcura facra concrac^^i^^j » & Ariotbs leges^ac 
prohibicioneS).cam porcencofa nominaquibuseiufmodifceleia 
cxprimuDCur^quorum magnum cacalogum coacervac , & explc- 
€atl)ri^itfrlibxdi(qui(ic.magic.cap. 

moQcra bominemque vencriloquum fcu pychonem,alta di vina- 
iioiies>aria incamaciones^alia umbraram evocaciones,aliaaugtt* 
fesficauguriay fimiliaque plura flagicia. CerceinfoIaSamaria 
adcomagicevigeBac, ucSamaricaninomwnpro incancacore u- 

mmf^ hsBerfqusk&gcoti propriumeflecdaemoQiQm habere. Qua« 
re DoraiDus convicium lUud unica negatione refwavic, dicens: 
^V^efB^miumnM Bdbes , ucinde conilarec » eun^oec Samarica^ 
Bomefle. E Samariaprodicre Magorumprinctpes, eorumque 
icboIa^>Simonianorumfciricec,& Meoandrianorum. Quantis 
ibpcrfbicioQibus^ fcaceac Cabala , qu^apud Hebraeos impeos^ 
CDiebacur,dicemus in Magia Cabaliftica. 

ApudGra^cosanciquiflimi&eciam cemporibusMagicas flb 
raifleartcs» colligi videconex fabulls Circes,Prothei,& Sirenum^**^^. 
abHomcroenarracis. Recenmrdutem , qudmcjpridmvoedntipkt ^ 
Piiik^5O«cli0 inycifd & tn Grjtcidnrdb Hojlane Perfi^ ejurXerxem 
m GfMkf^ ejicomitdfm^^ velutifimind drtisportentopt fpdrjitjtd v$ 
y^dMHffimil0j€d PhiUfiphicxiUd.verim^9 qudmferegritidttonesfi^ 

fie^rint^ 



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48 Partis I. Libcr 

fccperint,VmocritHs^PUi0,Pythdgor4s^mped^ MdgUferdi/ceii^- 
ddergo. IndeHoftdnesJecundm^K^lexdfUrixJiiAgnicomes^drte 
edm iUuftrdvit^ & in umverfum orhem Magiflc ftudium invexit. Hxc 
Plioius. Ephcfi olim » dum Grascorum erat urbs» piurimos HiilTe 
Magos » ex eo poteft colligi , qu6d Pauli Apc^oliconcionibus 
convtrfi,libros Magicosinnumeri precij exuilerunt, Erat enim 
ibi potentia Satanas ^propter Idolum DianaTj maxima» u t colligt- 
tur ex c^^/^^t-/*p^7?.cap.9. 
ji^m Wi> Komx femper LMdgiam in pretlo fuifle » vel i prima cius 
UMgi^in .fiindatione,probatloncnonegct. NumaPompilius artcffuas, 
truf '^^•qyibusadrcgnumpervenit,abi£gcria, utTocabat,didiciti cu- 
iusopc,pofteaqu^m Romam ^racnsDcorumlocisveniflct, 8c 
manejiinildomi obfbniorumhabuifrct,vcfperi incrcdibilcm c^- 
iiae apparatumeirdcmiUis,quosmaneinduxcrat,appofuiti qui- 
bus interpretari volebat, fe fuaquc familiari Dcac JEgtrixtQc 
curas- Ab codem dicunt Faunum & Picum m Aventini parte 
magicS opccaptos, qui ipnmonftraflctradunturicoelojovcm 
clici,aut niimina ab co impctrari, impetrata cqparum capitibu^u 
&manadibuspifciculiscxpian: ita^4^^i7:lib.^. Encad}. Tulius 
HoftiliuscumJ ovisEIicij (acra non rcde obividet, fulminc ncca- 
tostraditur} ncmpedignama D^emonc, qucm colebat,merce- 
dcm fcrcns. Sub Galcrio Maximo Impcrat. Magus Atlicnicn- 
fis cum c{IctChriftianorum hodis infenfiflimus, omncmmovic 
iapidem,utChri(iianiapudImperatorem deferrentur: IdcoU 
\ 'dolam Jo vis pra^ftiglis ftiis ha:c vcrba (onare fccit : dicere lovem^ 
n)t Chrtftidniinexiliumextrd civitAtem ^ dc civitdtis agros , tdmfudm 
^ pbi inimici , expellantur. Eufebio tefte lib. 8. Julianus Apoftata 
Pr^ccptorcm,icu Corruptorcm potius,habuit Maximum £phe« 
(ium Magum. HicJuIianuscumCarrastrannrct,contraPcr(as 
profciSkurus, ingrellustemplumimpixrcligionis, &peradis ibi 
ritibusMagicis,ferasScfignum impofuitjanuas, rcliquitquccu- 
ftodcs fani militcsiquibus mandat um crat, ne quem introirc, an- 
tcquam revertcrctur ipfe> (inerent : fed nunciatS mortc cius , in« 
trogreffi vidcrunt mulicrculam fu/pcnfam capillis , amputatis 

manibus 



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jMfiikiiim juMilacpaim fncift}$^putds>&jIoqs le^iredQiribtis /np.* 
ptfaBorix Atiue Anci^cbenac/nntxeperca. ica Theo^ir. U brj cap; 
«k. 8c Vicepbar^ lib. io. cap. jy. Sub epdem JulupQ & VaTeqctf 
0cM>resfber^ LibaQinsvel Jamblicl^usp yalerifinus Impejfator 
poft<iaiium) cttiQ prUiuim erga Clin(l|atias Heaevolijs <pi^6c^- 
Wn^niii) adeo ut tpcaeius domus diviai Nudniiaisculcoribus cU 
Ibrpleoa , k Magorumvi£gypciorum fei^asprincipequodamSc 
Dcidore per£iafus fujt > utianftos viros opn tancumdomofua 
cxigereCj & quimlopgriiliine repellerec^fedferrQ quGMquetoli^ 
retiiucqittarciotts ij^nuciom.bu;qpie;luis;pb4arent. ^K<>j[ii[^oo!< 
Sknoo Magus itjifircji^ayic^uc mprueric int^dnospop^s fta«^iMiiijf«- 
mam boc Qciiloi Sim0mP€ofAn^0. Audoj-fiiit Nero Imperacor^^*' 
CBiQonGithara;» cragiciquc caotuslibidoi^ajorfvi^quiimMa**^'^^ 
gtr. Nemouoquam^ulliafuvalidiujfavic^quamki^ 
gior* AdriaQUS:quoqpeJmp.ruf£a.pipni9.M9gic^^^ 
ttodio(us^» a4eQ,tt%f%qxajf^}*gu;^ 

raiutatcn pluf «SKjuiKMrf t*i mqui^C^^^«i;^ /Lnconij^s C4r^- 
ddla Ma^ioe de4lcw ^ pocciar» Apolbn jut^,TbxaQ^W icoplcf • 
sabatur^ufiaium. H?liogabaluslmp.,artcMa^jca» ^cfuisip^ 
attiudooibtt5»iD^n!^.aIioruivi mulcc^um ^>cumpociiIjmiun Severt 
parcocis Aii»acquACqfnmodi anim^ ^b^n^^^ 
tora ct pra^dtQerear. Apo|loniun>,Thyapa^uin laude &i)onorc 
aflccit > eiquc roooumencum Faciendum curavit ^ uc eftapud 
Di^ Xiphilumm. Tempus & cbaru me deficeret , fi omnia pcr-r 
ieqoi Tdlem & rcccpfe{;ccxempla^ qua^ap^d Audores excj^nt. : 

VcoioadScptpncriooalps. Apud hckSf^S^xone Grdmmd/Aihl UpHmnU 
i.caftc» triplcx quondam gcnus inaudiumiraculadiverfise^ijej:* ^^i^d$i 
CQccc|MnBftigiis. Horum primi fuerc ndQOjftrofas roagnicudmis^.'^, ^ 
Viti^qcosgieanccsandquicasnominayiL Sccundierancil/4£^ ^ 
^artempoucdorePychonicaro* Hosincergiganc^so^ i 
rertm /umma beWscerubacur aiCduis^uoaaMagi vidores^fif 
btiiockial^ n^gOAttdi. jusy vptuin diTi^icstii 9pinioncm^o£% 

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peritiatn» pr6jMids aiienmqiaeirttl^ 
adumbnirecaliebantiillicibiis fbrmis^TerosobfcurarealpeAiis^ 
Tertij ^emDeipraQtdi^»ji5qtieapiKidefuras>pra:(B Bar- 
barorum mentes^diyiDicatiiacceffitopiQio; Botbnici quoqoe». 
£appi>6c,Bnnones>Magf (untexcdlratiffinsi^ 0U»Md^t^^ 
Ilib.rxap.i«^ &lib.3,cap. fifarmiitidem , quif^rd^fub poloJial^ 
tanr, qtlamcunc][tie volun t H^ramaflbmtint s itemi)u,« iaaba 
gerantur orbe ab amicisvel inrmicis»Ildeac veftis autaras^prei^ 
cio datoexpl6raat« OthimbsMagus apudUpfalam^eciar pro 
Numine tolebatur & Septentrionis Rcgibus^ , eodeu^ SMMme 
iJrmmMt}tdkc, l*horCH&{mtfiBusrerafdieki»edmpat^ 
'tatis'6c ^eitutix JEuic. Oeeimarniorum maglco u(u apud ^ue^ 
coscllaVuscvaiit, 6cdi¥imtamopMionertiadepctt&^^t^ Hieofe 



Got6qrum &Suecqrum Ivexin arte Magica nulh fecuttdus^tam? 
feniTii£ris erarimlisdstmombi» 

§tvcnti f, coaS60^iTt iodc optatus vetiins^ afp^areti £a4ti ^ob Deoi; 
imlgp dicebatur v entofuspilted^ Siualto^Suecito» ieptem fiiere^ 
* fflij veneficiorunrpedti. OddkvDaous^pirata aliifq^ 
«um pererraos^bofliiiaiarpena vigia concita 
erertir, negptiatoribtfsitififihiStdiemens agr^(libi^ Inicociim^ 
Nbrmannis coofB^vita carminum hoftiites Bebetairitafpe»- 
&us,ucdi(bridoi DanoTum enres eminus radios jacercpucateiiti; 
coAiinus verd n^ fterrumqmdem vaginjl^^Fa^ttmi viiuM 
repocerao^ Hadingus Danorum Rex ab incunabulis cradias^ 
fiiitpraccepcortbtis^Magiarpedtt 

ticis gigancibus. ' Ha?comnia^fii(ius^ nai^rata biveMes^apudSa-. 

scoaem Grammar & OTaum magnum; 
TMrtM^^ Tarcarorunfi aliqui^ qui utcra Cazaneofe regiwmibablCMl^ 
j y ^^ incancationibmiuprabMdum (untdedici , quibuscaligines » ^ 
*' Basqueccmpeftacesfa^piuicxcttanr > hocqueiisodolioflbs fh> 

l^entelrpmfliganr, tfti:e£errAfex;^ €i»ip»^ 

aflt:poptili>quos Jt&mi^ttC^ 




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TiT^**** CrpccmBQ[hetno«»ihj«ciiii4<is<laciiiagu^ 
luit»-8ctres^k»iibi(imSesreUqttit »ait DubrMsviMs Iib.t. Omjcto 
aax<leGermaais , GaUis, &riuimrs t^nsque £iw)pa;popuIis re- 
^ruacHifh^ridtrjr^Miftifia^ t]tia»|ibjx:9<£xpedit<^bioebfisde 
suivOuB^ifitiin iaYttftixkstah^itjit Aftfi» dp AmQuc; 
2eM3MU(aUtqueScnip«orefd««Ifii. 

C APUT XII. 

VJO^as iEgypdacac iapicDci^ Imerpres & Ocdipus f.x^ihs- mm 
^^Si^dj/^Mr-^ toro.i. Oedbi Clafle ici.cap.^.S- 1- Rotam**^*' 
depio^t^anis Hteroglyplucis (chctoatiiMJs pcr circuitum infi-^"^'*'** 
«mam , nra^ecapite LemilsfcuMompfatX) Scarabaeo» Ibide 
fm OcoDia 9 captte Artctino, Siftro Ac^pti aco , Cyooc»hfilo^ 
Horopucrifpecic in vcfte rcticulau>& Cordicc. Haoc itotam 
ita ftatucbaot>ut circa axem ccotroiDfixumvertipo0etiQ^- 
rum , appofitfi extra circumforentiam maauimmobilidifitum 
iodicemexteodeotc. CiimigiturdiyinareTo1cbaot^<]uoaQani 
Momeo ioTOcare dcbetent Mobtioendum id quod petcre cii^ 
piebaot; Roum» prsemifla prius adjuratioD(^.& inyocationd 
Nuroiaum>quorumiiiero2lypiiica fymbola inf^^^ erant>yet« 
tcbanu &(ymbolumquodiubmanuquicfcebatfillud Numcn 
c0ecwdebaot»qttod aa obtiocndam rc^ defiderataminvocare 
^ebcreoc ^tfi ouidem fub indicequielcebat Ibis » M<^curiun| 
iflTocafidum cxiftinKiban t i fi $carabarus»Ofindem j fi Cy nocc- 
piialuiJuiiareI>«nonium;(i Artettiuimcaput»AmmoDemifi Si- 
ftrom»Ifidcm)fi Leoninum capnt>Anubtdem}fipucr reticulatus» 
HoiwiU(8ificdeca»eris. AtquefiaocRotam^gyptijiotem- 
pUsib(toebaotteaqueuiiebantur dercb^ conuilturi. 

AbbacAegyptiorum Rota qrkbem duxifie vidctiir Rota^f'^ ^ 
Jiirioatoiia H^iasorumt quam^elcrlbjtcttaois f. Kirchtrmto^ 
4anio6oc0cPardis. Quatoos^BxpeiganMQ^oioiidiinpAo^ 

G a cxicio- 



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txCeindfi^iai diterfx mipiituSihii V omnes lo centrt vmhjeftm*^ 
juhdos, &fupraaxi5poIumfacit^Yer£itiles. Horamfiftg^iif 
Tigtntiduas acqoales parces ( (quot iti hebraico alplfabeto^liHe- 
rx rudt^diyidebaotur>e^etnt^^o ad jCrircumferendas dudi^red» 
Unthi 6c in fingulis (patUs bnluscoriufque^circuli dekribebaiiMnr 
£ngulat litterac didi Alphabett Hebraicf > ita ut quataor ^ir-coii 
quater concmerent Hebraicum flphabetum. Erataotem iOi 
cxtremo lunboimmobili manus extenfa, incuiusdigitoindicc 
iNnneBl>£4 T^tiagrammatim infcripnim vtdebaam«6iii:)0efii- 
ftrumentumpacafumerat. Pic^dubiisttaquecaBruIturi, prim6' 
pr^viisfdionibu^ ) quascon^ulc^omittit P.Krrche/us^Inteni^ 
* ,gcnt!amibidem,6trebantur,abftonditamdtprecaoantur,^^ 
tmpenfiusdperidivinatoribfavendUm. Quibus peraAist«iincsr* 
circurospermanabriautraque mano apprehenfa, ocofisin odtt» 
hiiii^ubhtis^qud data fors tullf!fet,crrcuma^ebant;finrtoqiieiHG^ 
tu titteras qu^terfaras, quas in ^atfoa^centro adcircumfcrentiifnt 
Ultiiiiamdudo/manusoftendebat, obfervabant. ftquontam^ 
cum ritceris Hebraicis lca comfparatum efl^, ut quomodbtUoqmgi: 
conjun&as, aqc quacunque combinacione cranfpofica^ &tMmti. 
^mper fenfum aliquemexhibent> quatuerillaslitterasih f)>acfO» 
a manuindiicato reipertas , dtibte^fe frombtnatai', refpoofiimdfi: 
reciu2cfita,exvirtotcdivini,8i Iineifigendadireifbrtce,diM-6cre«^ 
d^ebant. Quod fanadcuminftrumeiitumltamultorumanimor 
dementavit, inquitKircheru^, uthuiusfortilbgijopeofbtlfioir 
iplTe fcirefecrediderint. Im6r non dtfoieront ex Rabbftiis» tS 
|)abaIi(lfkV gpiafie^be^^ 

€|tiaim facrje ntterx t^finfi dc Thomim appeRbntiQoo aKti;rqoimt 
ii&Q modt> fuifiej^eraifiahT y quodumen pudcQdiffimani^eft 
mendacidm; 

Ex ucroquedlvinairdimodb enMOifllr 
J/U9fj^ 6raecof um AioAryomantia.^ l[>efcribebantiniirlrcoIttiii Siif>ult 
JJ^^J^ ?ef e,&ifr tiglriti quattf or ptrtcs di vidcbant,pro ntfinen) A^h»- 
BetlGfarc}> &t floralis^i^atiisuiiani^ vigintiq^ 
ibibcbai]t.vDeindcfingd^ l|jatifsachcceri5;grdbUmutMAi>foi^ 



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Pfpfegomena. ^ f$ 

neon appoQeliaot>& gallum ii^roediOLftatuebanCi cunique cai^ 
fnioa qiJ2ec|aiiA praccaDtata fuiileBt ^ ^lVcntesgaliuitiobferva^ 
baot, ezquibij»rpatiis & eiemcnitsgraBaiumeret» & fingulas lit- 
t(ta| gili^jfracctf^tis^adrcijp coAjungebant ^ vidi- 

I«Mqii^^podBftm vtrbum exhibtr6nt>'& ex hocdeindcdeM 
QiNtfitadhrinabant. Hqc fortilegiaukim legimus Libankim 8& 
Janihficbom> dequibuscapite prxcedente, dum quis poft Va« 
l«M|§)aip. casoax Iinperialis fucceilor futurus eflec, divina- 
%i^f&dlt]s eQim intra circulum didmn pofitos quatuor grA« 
Aisacceptis>rcliquitipatia litticraf umyd^i^o.^^ranis vacua ; UBde 
conegeront^Theodorum ImperioVarentisiiJcceflurumi fed^ 
BsBmoDe rietrepti i^crc ; a]iad caifii pauK^ ^oft evencus docuic>> 
Boo TAeodaro>/bd Theodbfio fiedem ImperiAlem occupaa- 
VfJfe . Illficigeftam narrat Z^Mr^;^ in Valente, Cedrcnus^ 




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/ 



f4 l^atif I. Lfljcr !L 

LIBER 11 
DEOPTIGIS PRiELU- 

SIONIBUS, 

Quibus Magias Opticas fundap 

mcntaexplicantur. 

PROOEMIUM; 

mSjS ^^^^ CientMmiUam^iu radios cbnjtderat 

^KvC^ r^f/W linu^Mm , faferfictmm , angnio • 

^^1«^^ riim,commm , pyramtditm, aUaritmque proprut^ 
tmn mathematicarum, mMosquet^ ctmfM^variaobf^anim 
froje^uraatquedffarentiademonprattOfiicam Graci, Lati- 
m yifiriam, ac Perfie^rvamappeSant. Btquoniamtrifkx 
gfl radiut Vifuaiu, DireGlut, Rtpexut, Rijra^ut^ ideo 0- 
ftica, qua hormn omnimn conjideratiommamfie^ituryintres 
dtfiinguitur ^cies , omnium qua intra Mathefios amkttam 
opticc^ continentur/tobtliffimai^ti^meqnefatentes, ^uaradiam 
fpectes. dire^um confiderat (fUum rvideUcet^ quire^a permediumprO' 
?imt M- fagatur,hoc efi,fiiu infiexione ah obje^o occurrente , acfimin- 
^^i^'fr^^oneab ipfimedto pertranfito) fimfUcitcr Optica-fivt Ver- 
aam > ca- ^^^rv^ , rctcnto gentrit n/ocabulo , ntmcupatur. 'vero 
RSmm, confiderat radium reflexum^ dicitur Catoptrica grace, Utitie 
^ISuL i^^fd^^ > ^iti^t^v^irutrum apparentiarumatqueimaginmni 



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IWuiiotics Opticae;- . 
futtx co^mkut ^ecula objeUtfmimturin iffi ffecul0,Yati§^ > 
MOfcddk , alissqi refiexommradiorumprofriet^esatq^ue ej^* 
Sufctmemffatur, ^uadiniiquerefraSfum eonpderatra4um\ 
JkifwT>uftrica,fiuJnacidfiica^Jhoc efi, der^i^ionihtufii- 
entia^c^mtemfilaturqiillaacci^ntiarMttorumfvifiMU^ 
ex tranfitu fer djyerfii medsa fiiBoriuntur , il/a^} objeflorum 
flmomemfyqueilthutufiitodiradiiad^ifitmdefiruntur: , 

Efiforro Ofticafiuferteratimfiu^eciatimfim^tay '^^^^^f^* 
flffaqueMathematicaMfiiflina, j^eciUatiyauna, t^cogni- ailaSpcca. 
timcnuddcimteneatl^rafficaalterayC^oferiintenta: ^^er'*""' 
uotttiamTnfrni 'vfibusafflicaty interqraHainnumeracorpo- 
nNP, fiiferficieruntjinearum omntf^er» projeSltones^u ma- 
Tjuddtneafumes in fUntfquibusctmqi molituringeniofijfime, 
odexterrim^uerfieit, fiueorum Tjefiigia fint exhibetida^fiu 
[tomefemgindatfiu cumfionuhufabfiedxntta latera monftra- 
ii. t^tqufhuichbne^afhice,, Orthoff-aphice,^^ Sciagra- 
^ice fitam debentortgnem^ 

ZttrMerquchanc Ofticeuy Theoreticam Sco\ fy TraSfi- 
omjtanunurifene AuBoreTy^eterefaqueac recentiores., ex- 
eduermtt^iytosfarttm iffiferlegt,fartimabaliii citatosreferi^ 
H»)uittanrmmquoslegi,hacfitnt: 

Albazctt Jrabs , AthanaHus Kircherus in^Arte magnaOftiet» 
Lude i^ymbra , Vitella Thuringot-Polonus, Pranqfcus A- wip^** 
«fnkmiuSyJoanaesKepieruSyChridophorusScheinerus 
imOad»,inRofitZ/rfina, ^•Artedeltneandi\ NicolausCa- 
hmtnsinMeteoris^ JoanaesFrancilcusNicero inThauma- 
tJ^f^a^Mariiias Mcrfeiinus i» SjnoffiMtthematicay. 



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f6 . Partis I. Libcr H. 

in Commentariis hhri Gene/tSt Afionjrniu^Gathi^^^A^. 
tatehsyin T^r^eBiva frAUicagatlicoidiomaie firiftd\ Jdf»- 
«anesBaplida Pominlibro deK^aBionibiu ^ tfinM^id' 
n$turali , Euclkles i» Ter^eSliya , cr Catoftrica , Marcus • 
Antonius de Dominis,Guido Vbaldus,Danicl Barbaiti% ' 
Vignpla, Dantes, Heliodorus LarifHeus, Joannes Bapti» 
ftaBenedi(^us,HugoSempiibs, SamuelMarolbis, jb». 
annes Vredemannus Vrtfiu4\ Chriftophorus Grunberge>- 
rus in SftculoVftorio , Claudtus ^toXomdiVii inCatoptrtcisy 
Federicus Commandinus, Marius Bettinus iv Apiariu, 
RenatusdeChartes, P.Schonbergcrns /«Dj^^f. OPtka, 
Petrus Herigonius , Nicolaus Xucchius inPhilofefita O^ 
ftica , Robertus a Fiu<5libus Angtus , Joanties Pethfanflf 
PerfifeUpvacommuni , Aridoteles in fytf^/Jw»; JoanhcsBat^ 
ptifiaHodierna5/r»/«r, Pappus Alexandrfnus,Sfb»flia- 
nus Serlius , Rogerius Baccho Anglus , Orontitis Finaem 
in Sfeculo rvfioriOi Marinus Ghetaldus de Tarabola ty Spe- 
eulo Vfiorio, Villalpandus /» £:^rcA/^^«,Fridcricusitrfiic- 
rus tn Oftica , Joannes Pena tn PrafattoneOfttca ofud Rip 
AmonjaA nerum,Anonymut e Socictate J E sv in KecreationiiiA 
1^^^^'fhem: Daniel Schwenterus,e:?» Georgius Phiilppus Harv. 
Leure. torfferus in Deliciis Mathematicis , SalomOn Caus in 

j^f ^/T4, Emanuet Maignan in Catoftrica HorariayL^t^i^ 
(ius Sirigattus,Jacobus Barocius,Joannes lacobus Ilatii- 
hnwin Synoffi Mathem. Ga(par Ens/» ThaumatisrgoMa- 
ri&r/»4^/r«, Andreas Albertus,Simon$tevinus. 'Vrsttw 
koscitaturabaliis M. Lucas Braun, Chriidtatlus He)rdciis» 



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maimus,^ al^. Ex^e^dmus pratereaiiBfi^^iiffclm ^P. - 
Joanoe BlB()tf^ H.k:cij>U) m '^«•j^.fj^tejgQ^ i^^- ^^^**' 
rtfenfireifos JifSipWttum^z/tcom^eJceremq^^ 
mrnmSerifteritm T^eltm , OftickJiuyltUm floHejkJfreif* 
9e^iamnia3iatbemMtcuy 

,tifm,{^f^itm i$)tii^itmindicarm ■ ^.y- .. ■ v ..»' 

Sii^tgiAfor^Opita^quam 
pmus^ eRiila Oftica fafs, cj^a, ^t in )Phamo dici^i^^q^iit. o/r>M 
\^mdinfHentia iUa<-uniyerfa rarumyreconditUiprodi^oJitmidc *"""*^* 
^arddoxiim efi,i^q»edcdmmuni O^ticorftm Jenfit;^cufure^iL 
tmisjri^atur, atqueada^rumri/tilihtem , liquiiiS&iimqiie 
'tfoUftatemiTrincipumfrdJerti^ *^ Magnaturit',frodUcit ih 
mcdmmynonjine mtuenttum admirattotie acjitifdre^ Hdnc 
cmm egofra caterit dxcdnit aakihu dddln^erim femper atque 
cpltterim, ah aiiff tn^jretfo haberi ,^mir^ionique pracipme 
loaheri animadvertertnt ; rmgraiam me faUurum curioforum 
jikfiidtmdmatoribueexifiimar^^tjiqt^a^u^ C 

" 'fff»fvidi,4ttdtvi,exc(^tayiujfqMa^^^ , • 

^iiUlAru,JeqMeMfdffuftrfJialiOf^^^ * 

^*tf0t^imim,quddiBt/rwfomirdtiotm,f^p^ 
i^,Scare;,autmdicdreJafi^^ 
ji^jjyiiqti ; frMmtten^ nonmiiafint de ocij^firuUura, ob^ 
p^llfmdm imr^odt^ "VfdendSltf^^mfM^^rvifit^ 
^•4lmm$e^mti^itmuram\aef^^ 
'd&tOffl^pmmum inMi^Hn^fe^dtl 



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TK^LVSIO l OPBTJLMICA 
Dc acitli ftf udura ac partibu& 

Qtuces TrdfCfs ficrctiores , qu^ ^ifialsHm radiormar^ 
ca»a fondunt ^ haud ficus acea qua in illacommunid 
fint^adiatque intelligireSle nan fojjuntjtnecognitione n$odi 
n/idendi ; neque hicexfUcariac percipi ul/apoteBraei0ne,fiM 
altquah Jaltem ^ ^eluttperfHnSioria firuSlura Tjumani oculi 
tnfpeSiione* ^Abhac igttur tnchoandum eSl^f^ explicania 
o€ultpartef;,figura^ nervt practpui^ tunica^ htmores^aUaque ad 
^ ejus confit^^ttmem JpeSiantia;^ cum fr^firtim ut ocuU firuSlurM 
^cam ek^c mirahlts^ tta e^Mdem fimSiura notitia arcani^ 
^mafit y acmerita Magica iUcideheat^ 

ARTICULUS L 

Tartes ocuU feneratim. 

futJifsr-, /^Rgtaujh v^ui ciflocolus » qui cooftat ex oeryoopttco^i 
usimiT^ ^^tunicis five mcmbranls, ijc tribiis 6umoribus>tanquam tx 
partib'ds •ad. vidernd^m nccefTaHis : rdiqux.enmi partes , lit srd- 
^ata>mtl(^1f>giandtttar» pi ciHa ^ fuperdiia» 

|>^nin«DrnDi^Mti;ati^ Toai- 
qirucnqu^hasconipofita eft veluti ex duabu$>unde & bina ba 



tribos 




\:intctttguptmfk^bif«^ 
extoto>yeIexpartei^j^oI.Y^|it^acconftituunt. Prima ^unica- 
rym vocatur xi(Aif(0Tii/, (cTetoces& Kt^^oM^ijV.cornea ; ffcuoda 

' X0C^^4^> choroide^ fc/«7^«f nV/uveas tcrtia«p94/0nAf$9M^»i(^- 



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Przhi<u>tiesOpti6»I 
n»^tifMiyMmtit,knotz. Hasambic quafi,9CTehiti ct;emr,^4oa^ 

explicabimus af pofi«o^inH)i(n ^emace:; (Sc^aul^pg^^uSori'*^^* 
lermone* loAtice igitor appofituinrciiema.o^Iit&cumiuqiia:^'''* 
feqountur,coofer. ; 

ARTICULUS II. 

I^Igura exteraa oculi ex di<^is partibuscotnpbfiti rotunda eff> AftrfQt^ 
^ nootameDperfed^>quiaparsanteriornoQDihilprotuberat^r«, 
«c comrauDtter onmes Ai^atomifta: obferTarunt > (^uamvis Ca« 
bams in Metepris id neget , 8c di<^am protaberaciotiem 
agnatam ochIo viveDti»(ed mortuoad vcntitiam afTerat. Oculi 
^«ramreprxreotat utcunqiappofitum fchema» inquo q rp o Vide Vif. 
cit Dervusoptieus. £x hoc uervo procedunt tr^s tunicas ocu«i,Ic«iiifj. 
lam veftieDtes; quaru^prima&exterioreft Sclerotes&^^« 
nea > (ecuDda & ipedia Chproides Sc llvea > tertia ac intima o* . ^ 
iiiDium»eft Ret&09& Aranea. KNLM eft humor cryftallibus « 
Aratoea inclufus \ aote ipfiim vetfijs isr, eft aqueus \ poft ipfum 
verfbs M>eftvitreus.^ ochemahocreprxfi^ntatoculumfectum 
peraxem , hoc eft» per medium nervumopticum^&ccntrum 
oculi>ceDtrumque Corne«> ea fere ratione» qua {ecarl folet |)ur- . 
btis caspacens a vertice per ceotrum fic.caulem adjupdum , auc 
rapa ladorfuitiliter 4 vertice perceDtrumatquer4dicem /eupo; 
fbiDGiiliuiiraMiexum fe^a. 

A R T 1 C U L U S lll 

^EtyusOpticus opq£ immediatiezcerebrQttaoquamex 
*^con«nuni fentiendi princtpiovderivatur ; diciturque opti.JSSJ 
cu5,hocefl:,vi(brius>quiaadvidendumruomodoconducit. Ut vide Fk. 
autem duo fuot oculi^iudaofunt nervi optii;i:procedunt4uet.icooiu! 

H» exce- 



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&b . Paitis L LiBer n-' 

ezcerelnx>(iHtioift{ ,6c ifivicem feparati i anreauafti umei^calr 
; ; Tariam e|rcdiintur , tiniuntur circa niectnm &xmcis*k)^pwn ita 
« , • ^ arOiamfunusVidcatuireffici^Scpoftconptiniut^ 
con jtinSion^ , kerum in dtK>s di(ce 

i^e^^:ad cavao(fium,quibus oculi continentuc^iadequeper- 
▼eniuntad oculo^9ciUistnfiguniur,nondiredein partedianie- 
mtiter oppofita pupilla? ac corneas ubi s, (ed ad latus verius nsk^ 
res^uti figura monftrat >^ mftrior^ Anatomifta^ obfervarunt. 
fhpv{ipr$^ n 'l^tttant npnnullf , dttos nervos opticos duorum oculorun» 
ifnpmift^'- loco unionis didb incerfecare fcfe decuflatim» ita uemutato 
fi^mm^l' priorc fitu dcxtcr pergat ad oculum finiftrum , & (inifterad dex- 
terum. Sed hocmamfeftefaHum eft,'utiexoculianatoiiiiacon«- 
Aat. Nam ita duntaKat unfuntor in didolaco,ut(e{emotu6 
, , Iblum quafi contingant ; poft qdem contadum rurftis drfcedunt 
afe;nvicem,dextec^ad dexteFum,(in]fterad nniftrumoculum^ 
iTetim Alifpiftaruntita unirf iiitinunam coalefcantfubftantiam. Scd 
^l^w^* hoc ctiam falfum eft,ut caderfi docet Anatomia. Namfedus 
^JJJ^JJJj^ fuit alicubi vir,cui multosantc annos eruttii fuerat ocujorain 
unps,& ^rcpcrtum qaod ncrvus ex iHa parrteicx qua fberat^fibdus 
ocii1u»>aruerat^u tC^^^iwi tcftaturin M eteoris A riftotelis. Ncc 
tamen in omnibus hominibus uniuntur prardidfduo nervi,quia 
eedem Cab^o tefte repertus fiiithomo,inquo dfsjundierant 
emnino. 

CimUr Nervus prardf <Ju^ conftar ex tripKci partc , fctftcct ex dna*- 

dMhZtu^ G^us tonrcis^& e3Cfubfta^tia(quadam^medt]lIari| ipil^trei-ebrofClb^ 
mcit&fuk- ftantiali , 8c inclufa intra prasdi(ftam duplicem tunigam. llnde 
cc« ; Itt enrm tota ce:- 

rebri fubft^ntia duplici veftitur tifnica five mem trana , pia fcii»- 
cet, 8c duf a meninge matre^ or Jniatpmici appel^ant 3 iu tt- 
jHtm n^rvus^ifte opricus,quafi vicarius cerebrf, dupllci eft veftitU9> 
' jtunica,utdicebam/qu^rumextcrioreftciaffior,&iduramat^e 
^ propagatursinterior verocft renuior^& proDagaturapiamatrer 
Siinti-ai.haac condnetur nMdullarisiUa fubftkntia^ 



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• PrarhifioBaOpticflt; 

A R T I C a L U S IV. 

Sclerotesy(^ Qornea. 

tjXnibiis bis ocrvi partibtis^ propagantur trcs (upri nominatar 
*^tMic«oculi,qua5trcs intcr fcdiftiniaosinclqdunthumorc^. 
Abattri<>rincrvitunlca opqr qux firmior cft quamakera^Yi^ pjg^ 
proof^tortunica pesbo» quactotumoculumcircumdat>c(t^>ij(Q^.f.. 
foe^og^ adkuc cra£lor & nrmior qu4rn in ipfoncr m Hzc ^ 
Bptrtepoftcsiorioculi,^ p & o^ ufquead £ 8c a, appelhi- 
nrSderotcs, (ivc ScIcrotica>hoc eft, dura & conroIidatrva,quia 
fcreadiira cff > totumquc oculum confolidati atquc confcrvat 
j|tex,qiUMP ^ principioaccepit>f^urat: in partc vcr6 antcriori 
QeoK^iijbi^ E^B, appctlatur Cornea,quia ibr pars alioua ipfiusc#nyMr 
ctfodarts duiior cft reliquS partc,penitusquc tcrra>atqbc pclltt«* - v 
cidaieiftar braiSeoIaeCorncasiquod idco Natura ordinavit,ut 
perpartemil!am,ranquam per fencftramadmittaturintraocuw 
Ifnlttmco » & fpccics vinbilcs objedorum, dc quibus poftca» 
nerjk]iie yolant, Corneam fupra Sclerotfdcm nonnihilpretth- 
knre^otfupr^dicebam. - 

ARTICULUSV. 

Choroides, ^Vvea. 

lbftiMcri€>fi &magis tenuincrvi tunic» propagatur fcupd[ac£r<^ndfe& 
^lbiciib^oica, priori fubtllior. Hasc etiam totum oculum 
^ \t interius fub Sclerocidc & Cornca , & ipfi ^clcrotidi 

quibusdamfibris & quafi radicibus> idcoque'& im- VTide {^'g. 
_ M appcUatur : cxpartctamen antcriori.ubifcr^Scfc*- v*Icoaf 
Ijjlly Corofaro tra^t^fit » ab illa feparatur > &: fic fcparata pro- 
. ^JV^ ,fubfiditquc m planiticm , habcdtcm in nledlo^ 
4Pi.l:ll .G 9 foranieti quodd^m ad recipicnd|im intus Iumen> 

pcr Corncam tranimittuntur. Hoc fbramen fufnu 
4uiiir A^ilia o€uU> qvidil in illa pupulairad^is infujpcrficre^r»/». 



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ESirtis L Libcr II 

oculiibi repercufllisycuiviso^olufn infpicleDtf aj>|nreaC}eftque 
in hommibus quidem fem|!ier cu£th rotundum»ia alils yer^ ant- 
malibus non item,(od iii aliquibusoblongum. Oilatatar^atque 
cooftringitur identideqa pupilla loculoruminftar^proutmajo; 
ri aut midori lucis 6c (pecierum vifibilium copii indiget oculoi 
Appellatur ha:c fecunda tunicainparte poftica&latente Cbo- 
coidei^ , five Implexa , In parte ver6 antica & patente vocatur tTi. 
rMes. yg3^ Totanigraeftinparte interiori&concava,<juaperpupil- 
lam confpiciturific uva: nigrx fimilis,unde & uveadicitur. in par- 
te ver6 exteriori 8c con vexa,qua propagatur fub Cornea, falteffl 
illa parte,quanon ampliiis adha^ret Sclerotidi^ufquead g & p, 
diverfosindiverfishominibus habet colores, nempe ftavuroiii 
aUqui bus» in aliis fubnigrum five fufcum , in aliis glautum feu ci- 
irk 0mL nereum/ilium inaliis. SpatiumUveasinterPupinam&album 
oculi comprehenfum » dicitur Iris oculi, qu6d Iridi aflimiletur. 
Pupillaipuapparetnigra, quiaperlpvavideturnfgredointerior 
Choroidtsin iundooculiiubi t & v : namomniaillaqujein* 
tcrponunturab Sy per nma, ufquead t 8c v, transiucida 
funt, & nullum habent colorem^ut videbimus. 

A R T 1 C U L U S V L 

Bjetina,($^ Aranea. 

AParteroecluIlari nervipropagatur tertiaoculi tUQlcaiqoxi 
pofteriori parte Retina,abantertori Aranea appellatun Rc- 
tina innumeris venulisipfam perreptantibuseftcon^rfa»uQdc 
Vide Fk.^^^"^^"^^^'"^ invenitpotiiis,quiim ifimilitudiaeiigunere^ 
I Iconiw. tis- H«c tunica ^ nervo optico incipiens ciircumdat totum ocd- 
lum ^ parte pofteriori ufque ad punda ih\ ubi ex tpfa proceilit 
membrana quardam delicatiilima,aranearum tt\x inftar;qo< 
intr6 converfa verfus cryftallinum humorem lnkm, tegft 
atqueinveftitipfumtotum fncircuitu,acveluti zonacircumcir- 
ca arreptum , Iiber^ inter Aqueum^ Vitreum hujmorem tenet 
(ufpetifum. H»: membraQaappclIatur^plerisque Ai-an^iOb 

tcnuita* 



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Fr^kifioneiOpttarr ^ 

•MMIftillCtlll 

Mo TocatarCillaf is tumca» e6 qu6d concexu iic ex radiofis 
«^iiidaffifibfis^quxciliorampii^ Vocacuretiam 
6SMi9iroce0us^u6diRectaa»ubi i &h> incrorfumveriA^ 
huntMHttcryftallinuai procedac Recioa ooneft omoino op^b 
ca cik% aec bmninodiaphana » fed fubalba ; opacacur ^men 4 
Clk>rQides tpii icergojii^xrence i qux Cboroides fiftic Recin^ 
friniifiiyihai>titatem,ipfiquecribrtc rim quaodam/pecularem, 
Mpfwwmodoj^quo plumbumitergo fpeculorum fiftic dia^ 
jAiiif iHHim irictL 

ARTICVLVS VII. 

Ipioiia» h^cnus explicacas rcDlent tres btimores fuprl no- j^^j^ 
^ mwati9Aqueusnimirum>CryftaIIinu5>& Vitreas. Aijueusw^r 
luimorrepleccocam parcem anteriorem oculi interCorneam'^^^ 
ISB» &ProceffusCiiiares/eMAraneam iKLH» fniftoAqueo_ 
]iiiiiiore.Iiberi iiatat pars Uvese p & c. Appdlatur hic hu- ^ J^^jjj^^* 
iiiorAqueiis»quiafimiIiseftaquacpura;^tque(ubtili^ Creditur ' 
|merari k fpiritibus animalibus>dum c6crefcunt in parte ante^ 
teiocuUrideofi ex oculoeffluatiftaaqua aliquo vulnere^repro- 
AN^oteft ndedicanMncu ti proba vit experientia P. KicoUus Cf- 
faffli JXH'"^ rnlmntnTmTjnr nnilnm irnri tinrrnli prrfnrirtr 
MBMPqi ie bomorcm Aqucum exprcint,6c vuYneri deinde appli- 
«•titiritram (nadefadam rucconccIjdonia^,ac poftridiedepre- 
hiB|itt^£fiufti faabere oculos ranos,i8c aqua curgentes>videreque 
Mjpiiilff,,Aqueus humor etiamappellatur AlbugineUs» quia trft 
io iimilisalbununiovi. 



'«J»':'; ^ ARTICHLUS VIIL 

' i^>ri. CrjfialUnUihumor. 

^^"^lllMtiaiis humcr c6tlnemr Afibrofiimembrana h i m k in^ cij/if Ai- 
^^jpiiA4li^auis vocas iAc^ ^^^^ 
" • proptic^ 



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^4 Paftisl. Uberll. 

Vidc Fk. pf^^i^ nonefthumor, ^edeftveliitigcrafflacr^dlal^ 
i.koniu. ^ maxime peltacida. Eius ^gura inhxMnine eft leDttcttUns^aMh 
pofitaexporciombusdiiarum fphasrarum; iBJtquaiitiniiaiAcii: 
nam anteHoi' parseftpbrciofpbasttf majoris^ ac profttctemioi^ 
curva ; pbftefior verb eft portio hiijDoris (pharra: i & iMgfS proiil- 
decurva^ NoDtamenin omnibushomtnibus , nec io omoibus 
^ eiulclemhominisastacibus» humorcryftallimis eftetii/demiigu- 
rie : nam io aliquibustendicmagtsad rotunditacefn,ii|iUiqiiftbus 
mfnus s in astate Integra eft turgtdus , in frada quafi plaita3.! T«« 
exceftus , qu^m defedus a debita lenticulari Hguraiiiwliicit xi- 
tiumin yidendipotentia; cui tamen vitiomedentur confpicilla» 
Ui Presbytis^juidem convexa » in Myopibus ver6 concava. Hu« 
mor prasdidus appelbKiircryftatlinus^ U glacialis : cryftallinus 
iitransparentiacumquadam aibedine, obqua$cryftalloafliii)i. 
latun glacialts autem , quia inft^r glaciei eft condenfatus. Vide 
qux dicimus infra lib.^.fynugm.j.capa.circa flguram cryftallini 
bumoris. 



ritrtmh»^ T/Itreus hprhor explet totam reliquam oculi partem int0t- 



pRxter tresibcttli tuoicasha Ai^us expticatai c(i & aliai.qaaeab 
mcMtmU, I Anatomiftisappellatur Adnata.Alba, Adlixrens. Conjundi- 
^ Ta,&aIiisfiinilibusnoniinibus. Haecporfigiturapericranio>& 
fiipra Sderoticam.codfiftit« totmnqae extertus«cu)uf|i«4Cof- 
• iKamu<queinveait)qiiolocQiaeamioleritiu:,atqueeiinorbem 



ARTICULUS JX. 



T^treus humor. 





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I 

I 



PrcIttiionesOpticr* 4f 

adoe^air. HaKcademalliga^firraatque.ocu]umcasteristairi^ 
d^ti&ofnbus,acpalpel>ris, Utinfuaca^tateccmu^ & 
libcf c moveripc^t. Exterius , gui fpei^abilis eft^ iufigpfm ba- 
becaH>edibetta»quasadCornea:ambitamcermraatli^^ 
Ter^panemQ&oUstglaiidulis^pinguedineque obvolvitur ^ut o« 
cu^ beo^o humore irrigati promptiores reddantur ad mo* 
tom* Adoata ettam oculorum motuii&(druit« 

iloiculi porr6quo$9 feu Adnata > feu Anima(HcusnervttsM«/^«ff $^ 
coii/ltoit>fuQtinhomineomninoreptem:quatuorre(^i,^^ 
iam, deorluroadextrorfum, finiftrorfummoventoculum ;duo 
oU^o^ pofiti>qui illum circumaguntifeptimus obtutum defigit. 
Uvtcolorum intervalla funtadipeinferta, n^mutuoattrituvel 
jBttfcoloruroipforumarteria:) veloculitunlcasoffendantur. Iti 
a&saoimalibus non femper eft tantus mufculorum oumerus. 

A R T ! C U L U S X L 

Sitfn partiumoculf. 

T 1NaQimiseftOpticorum,Medicorum, aiq^ ?hi\ok^fh»tmiOcHU 
^coirfeD<U5,centra omniumiiumorum& tunicaramcolloca*^*^^^ 
tacfo in una linea reda, quas axis opticus didtur,8e ia fupr4 pofi* 
toocttU fchemateextenditurab s per n,m, a, verfus t. Nervus yj^ 
€|«lnsm>n jacetinaxe opticopracdido ,fedfioi({rorfumvemt|jcom£ 
ifffltiloidextrOsdextrorfumln nni(lro,ut diximus in fine Afticii. 
It}^ 'Httmorcryftatlinus,cumfuatunica,e(lexcentr]Cust6ti o- 
orio, coocebtricus Coraeas quodammodo fap^cie fai ante- 
riore ( fi Cotnea protubcrat ) excentricus pofteriore^ Aqueus 
timiorycuro (uis tunicis,nempe C ornea & Uvea^eft oculo exc£- 
tticai qooad utramque fuperficiem. Vitreus humor excentri- 
cmft lecundikmconcavam (uperficiem qua cryftallinum exci* 
|it» «onceotricus ver6 fecundum convexam pofterio- 
rem uni cum Retina , Choroide, fic 
Sclerotide. 

I ARTI- 



f 



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€6 




CClcrotes,yuea»& Choroides, faDCopacx, otcxdidispatec? 
^Cornca vcr6>Araaca,&Retinafuntpcrfpicu«,utnioxdicc- 
mmtm^^ tnus. Humorcs itcm omncs fufi t pcrfpicui , uti cx iifdcm didii 
fiicHitas & conftat.Corneam efTe pcrfpicuam,patct cx co,qu6d pcr cam ap- 
€0fMm^ DarcatAranca,8cpupiila,acfundusoculL R.ctinamqaoqucpcl- 
iWictdam ciTe, condat, quiapcripfamapparentcoIurcsChoro^ 
dis » qux fcmper fiipcrficie lua concava evidcntt atiquo colore 
cinda efl:> qui perpuptilam vidctur. Arancam cSc diaphananii 
roanifciluro c(l, quia non dificrt a dtapbaDcitate crythtlmi, S 
Tix abipfo difceroi poteft. 

Vuea tonica tdeo eft opaca, ut luci, 8c fpccieb us vifibilrbai 
jDgrcflumnimmm intra oculos intcrdicat ; finumquc intcmtmi 
ecdti tcMbrscofiun rodd«t , reli Aofolttm forararioe taDquam ft« 
fieftriciibfculiclaiifi. Cboroides>un^cumScIcrocide,ideo«- 

Kcae Umty utCaiMramocuUinterioremobumbtaDdofpecie- 
srecipiesidisadapceDt , Retioa babet DODDihil opaci albi , ut 
%eciebus iofe imbib^ndis habilior evadat. Choroidr s prattcrea 
cft krris» ut coorexam Retina? fiiperficiemab omoi ioraualt- 
tate vtodkei , ut 6c ^cies appulfae fitum ioconfufumfer- 
TC&t; (umctiam ut ukr^progrcfla^retundantur, 
&c|U0daomiodo iepcliaiuur. 




TRJBr 



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Praelufiones Ofiricri i6j 

PRiELUSIO SECUMDA 

AGTINOBOLICA, 

Sive 

Deoculiob)edo,eiusq; radiadonc 

OBjeUum ocuU fiuyifis dupUxfiatimnt VhtUfifhi 0- 
ftici j porprium,0* commune, Profrium ef^ quodnuUo 
alio finfit frecipituri communeyquod fercifituretiamahaliii 
fin^ue, De^vtroquehicpaucisagemus. 

PROPOSITIO I. 

Ohje^m vifwproprium eft lumen^ ^color; feu 
luctdumtO* coioratum. 




noneft per fe priin6 obje^um vifus ,fed lucis accefiioiie, quia ut 
fenriMiimoveat^indigetluiniaeaquocolloftrecur » utezperien. 
tiapatet , ctUncolores & coioratain teQd^risdelitefcentiainioi. 
m^percipiantur aboculo,etiainpr«feate, bene dlfpofito, U »- 
perto. 

PROPOSITIO II. 

T^Uicida^qHamcohrafailluJhratafrofiindunta fe 
reprafintatha frifquMS ^ecies rvifibtles appeUant, 

pRobatur id multis rationibus , & experientiis , ab Opticis at- 
^ qae Philofophis, & nunc ab omoibus fer^admittitur. Expc-jMn. 
rientix paflim in (equentibus afferentur , prxfertim Pnelufione 
fequend , ubi de fpecicbus in locum obrcurumintromidis age* 

1 » mus. 



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6i Piutis I- LiK IL 

mus^ DixKkciJd, quia iUa etiam coloratalunt » & alra apparenc 
pallida>aUa flava,alta rubra>alia vtridia» cacrulea , aliisque colori- 
Dus imbu ta. Dixi , eobrdtiL illufirdtd , qula ut aflerui pauld ante» 
fpectes vilibiles non profutKtuntur acoloribus& coforatk» oifi 
iiluminentun Sufficit tamen > (blos colores iUuminari t nec eft 
neceiTeliimeiicfleeaam intotomediointer colores& oculain^ 
autin ipfo oculo> quandoquidem inoblcurolocoexiftentcsvi- 
demiiscok>rei poiitos fori5)ii illaminentur. 
nii. < NotatHlumhfc/peciesvifibilesappeUariab Opttcis eadios 
^^alLTr ^P^^<^osfcuvjiuaIcs. Ethosradiosconudcrat Opticafobratia- 
rA/|i^4&clinearum»fuperficrerum > aclimiliummatbematicarumprO' 
prtetatum>utdixi in Proo^ro*>runtque in tripticidiffbreDtr^uOi- 
te&i, ReflcKi^ Refradr. Vcteres pucabant,oculum emittcrera- 
dtos ulqueadobieda viIa>eosque vocabant radios opdcos. 

- PROPOSITIO IIL 

Ijtmen frofimditurah omnihtts partthuscorforis 

laminoji^^nonajolacentroipfiw^ 

pRobatttf frima y quia non fohimccmrum , fed reliqua:edam 
^ partescMpoiifilimiiiiofilubent vimprofuiulendi lumen» uc- 



^^^^^ poteluniinous;^ JraMf^i.q|uiaaIioqttin fblttm centrum Sotis v.g. 
^SmhLm^^ cemeretar> quandoquidemid folttm vrdetur, k quaad ocubm 

cadt|optici> feulpccies vifsbtlesextendr poilunt» utdocent Pbi* 

iofophiScOpticr»& dicemns po(lea> 

PRdPOSlTIO IV. 

Spectes 'uiftbiks froJUtunt exommhttr ^artihus c&r-^ 
foriicokir^i^^illuminati^ 

rwa- 

fartiBm cies^y & anaquarqucpcrcrpitura&ocula> fublatijs impedimeatisp 
ttrptriird^ Qonautcmpoffctpcrcipi ^ nifipcrfpcctesttniretiiroeisfo^utex: 
Philofophiafttpponow 



^coMf^ pR<^^t]readerbratianc,utprarccdcnsptropofi»o^:^^ 

* quapquc pars corporis colorati Iid>et wn produccndi 



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nraclofiones Opticae; 6g[ 
PROPOSITIO V. 
Ijtmen^ ^ Jpeciesy lineis reiifisproftindmtur>m(^ 

aM coffore^ecidanyautJimedij droerftate 
incHTventur^ 

T>AtetezperientiS^) quia umbra^coiporumopacoiiimTiifnioo^ Lum§ni 
* & oppofitorum fcmper fuot io ijs locls taotum y ad q^^^^/^f* 
perdoguot racfif redi acorporibuslumioofisprofufir&oculus^^^;^^^ 
ooo percipttcotoratuoi,. oifipofitusiDealoco, aciquem/p^cie»^Mr. 
per lioeasredas oulloopaco corpore impeditas traosmitti po^ 
imiL Htoc dioptris utuotur Mathematicf ad veoandum radios 
icertoaltqo» pun&o corporom Iumioofi>rum 8c coloratorum 
adoculumprofak>s. lyxyLx^nifiMtdcorporeJfectUarhdrc. oamquai^ 
-^tumins,i6cfpecfebusyobiicitur corpusfpecuk eorefle- 
&UQtur^& ouaodo' ex uoamediodiapbaoo traofe^otadaliud 
iftverfiedeoutatisaut raritatis^ receduot a rcditudioe> & fraa* 
g^Qtur radj|,titfuoIocaexpIicabiturin Mag|a Dioptrica. 

PROPOSiriOVL 

Lumen^ ^ jffecies^ circumquaqfie m modum 
^luera. diffknduntur yfublatis mpedi^ 
mentiy^ 

"'-'quocunque tecoovcrtas, ciusfulgorem confpicis,,oifiioter-^J'^^^" 
^ofitum corpos opacum irapcdivcrit afpeiflum. Idem drcenw 
dum de coioi ata In qualibet ergo parte medti r ad quam k 
corpore kimmofo &coIorata duci poffirntnoea? redEa^nonimi- 
icdita^ occurfui corporis opaci , exiftit tumen , & /pecies,. 
^ttntnodo pars illa fi t i otra fpb^ram adiyttaas 
humnoGj.9i colorati.. 



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I jo Partis L Liber IL 

PROPOSITIO VIL 

Qupdlihet pun£tum ohjedi luminofly coloratij 
fropagat lumen Jpecies intra Jjffuram pro^ 
fagationis in totum medium i i£ totum 
objeSluminquodlibetmedij 
punElum. 

Lmmm^fi /^Onvincuot hoc cxpcrimenca. Nam fi in locum daufum 
^fpccics ingrcdiantur pcr foramcn aliquod opaci corporis 
fm$Bum oppo(iti, & obvcrsa cbarCa cxcipiantur, apparct in charta quod- 
ff^H^ libet objcdi pundum quod cfaartam rcfpicit , & t(«a objcdi ob- 
^^Ust ^^^^ facics > ita ut iicct io ipfoforamineomnium partium obje^ 
^mm$' Ai fpccics confundanturintcr (c, in proptgationc tamcn ultra 
fbramen ita diftineuantur , ut in proportionata^iftantfa totam 
objeSi obvcrtamhicicm cunifuafiguratiene&partibus ritidi- 
ftributis in charu depingant» &fialiqux obverla; facici partes 
aufterantur , aut tcgantur» manent reliquat imagines. Idcm 
contingitififoramini aliae objeclifacies obvertantur^autaliisfa- 
ciebiis forameii. Idem dicendum proportionali ter^fi fbramini 
objci^um luminofum exponatun 

PROPOSITIO VIIL 

a luminofo colorato profrfi^ alij aqui- 
dtfiant^fefi interficant^ alij in drver- 
fa abfiedunt. 

x^Mra^CItenimcorpusIuminofumautcoioratum, K^cuius duopuo* 
JJ^^**^da, n & B, conneaatrcaa ab. Cum igitur quodcun- 
Jri»^#i««i.quepundum corporisluminofi&colorati profundat radiosfu- 
i#f/#r nM-osrcao^verfus quamcunque partem>neccfltcft radios omncs 
VidcFic « A & * protufosfacerccumrcda ab anguIos,aut rcAos» 
1 1. Icoi^i acutos^ut obtu(os,cxcepto illo radio qui cum a b faci 1 1|. 



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PraelufiouesOptiot. 7; 

oeam redam utrimqiie ukeri^ proteoram. Qui radii efficiunt 
angulos redos, uc a b i>» func para|Ieli ^fmi. frimi Emlidu : 
Qii acbtos,vt a f» b convenlunt tandem in aliquo pundo^uc 
in I. ftr iyK^xiimu frimi EMcRd. 6c ulteri^ produai interfe» 
cantfclcineodempundo u fer undec.Axiomdhccit. Quiob- 
tttfos,ut A G, B H, femper magis ab invicem difcedunt ; quia non 
poflunca:quidi(lare,alioquin efficerentangulosduos reAos^ vel 
aEqnaies duobus rc6iis,fer ip. Primi Euclid.ncquc poflunt con* 
correrej quia alioquin efficerent duos angulos minores duobus 
icdis cum eadem a b, fer converfim AxiomMtis 13. citat. 

COROLLARIUM, 

^ 17 X d\€th colligitur» (i in medio repleto lumine>aut fpecie^u^) Cpnerum 
■-^afliimaturquodcunquepundum, reperiri in illo unitos ver- 1;*^''!:^'''* 
ticesdQoramconorumCaut pyramidum) radiororum»quorum^^i>Mxii 
Qnashabeat bafim incorpore lumino{b,autcoIorat09appelIa-f»«^^ 
turq; conus redus; alterincorporepofitopoftillud puni9|nmi^^*f^** 
dlredo corporis iuminofi,aut colorati»& appellatur conus ever- 2^ur. 
fns. Talesduosconosrepraefentantinapponcafiguraduocrian. Vide Fig. 
gda, A I B, £ I F. Dixi raut pyramidum > quia cunc folum gene- 1 r« IconSl 
nmtor propri^ coni radiofi, quando corpus radians babet iuper- 
fickm circularem, aut fpharricam ; in aliis ver6 cafibus generan-^ 
tai|i^mides 9 quorum bafes funt ip/orum objedoram radian- 
ciiimfuperficie& 

S C H O L I V M. 

QUod diximus de punftts radiantibus,radios parallelos» & pmOhm 
coovergentes , int^Iligendum eft de pundis pby ficis,non ve- fhfi^f^ 
t6de ma tbematicis. Ab eodem enim pundo matoematico ne- 
^deradiiparalleli, neque ftlc intcrfecantesjprocederc poflunt * tkumtqu^* 
tasn eotm paralleli radii , quam (e(e interfecantes ydeberent ba* ^^ru^ 
bfere aliquam incer fe diftanciam ; alioquin quomodo eranc a?r^'^'* 
doidiftantes ? quomodo ex non interiecan tibus fefe^fienc incer- 
fecantesf Itaque pundum mathematicum fi radiaretj oon nifi 
mitamlUieam nuthenuucam radiaret 

^ PRO- 



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j,2 Parris I. Libcr IT. 

P R O P O S I T I O I X. 

Luminojum, (f coloratum comftenttotam vir' 
tutis frx fiharam in infianti^fi fintde^ 
htte afpUcata. 

ium,n& \> Aa<icft,<5uianequclumen,nequcfpccicshabcntcoDtrarium 
^cutin *^pofitivuin in mcdio,quod dcbcant vinccreatquccxpellcre. 
infimtti Confirmatur cxpcrientia , quia propofito luminofo & colorato, 
J[f*^*"illic6vidciur,necficutinfoni perccptioneintervcnit moraaK- 
quajfignum crgo cft illic6 diffiindi per mcdium cotum radios,ac 
fpccies. Dixi,/?/w/^^*//>i</ip/^«^^>quiafifucccfliv^appliccii- 

tur,aliacftratio. ^ ^ , ^ . ^ v 

PROPOSITIOX. 

^efendentia luminis ^ Jpecieruma corforelumi- 
nojb colorato , noH eH tanta , vt iis amotis 
fiattmpereantynectantaindepci^ntiai^t 
fine illis diutius perfi^ 
yerent, 

... /^Uod non diu per(cverent lumen & fpccies amotis corpori- 
STrill^ ^busluminofis «ccoloTatis, conftatexpericotia quotidiaoa, 
d*fi»d$» 2(f;,ceQturomnesi itaquidcm,utpicriqueafierantftatim perir<5. 
tukhmi. Q^j^ j aliquamdiu,faltcm in aliquibus cafibus, perfcvcrent, pro- 
KrM»4.batur primo experimcoto Phofphori mineralis, feu lapidlsin 
aero Bononienfi repertl,<3ul certarationc pracparatus,& lucic*. 
pofitus,ltaeamlmbibit,itaquctenacitcrfibiincorporat,ociol<»- 
cumobfcurumdelatus cooceptamconfisrvatamquelucemnon 
fecus a<: vlvus quidam carbo diffuodat. Rem tocam defcribit 
Fommtti Licetm peculiari libcUo, P. i^thAnafius Kircherks in Ar- 
teMagnet.lib.9.part.3.cap.4.q.i. & inArte Loci$& umbrjcjib.i. 
part i7cap.8.P.Wi«/Mw Zitcchtm inOptica Philofophiapar.i,cap. 

Probatur ficundo Exporiroeoto aho novo & mko obieaa 

qux- 



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r 



PrasluGooeiOprictf. 71 

qiidibecio tenebns cxhibentetqaoddefcribitci^tusjrirr^ 
lib. t. ktm fnagox lucis tc umb. par.x. capx quod quiajucun- 
i}tsmeft)infriruoIocoproducamlib.4«cap.t.Parafl;au 7. 

Probatur tertik ?ariis aliis experimendsquas refGttjtlbdtem 
tib^Lpropxcsip^K & Vt.K^Mgufi. lib. 1 1. deTrinitcap.t. Ndm ifm 
i^xk Sihfh (Inquic Alhazeo, ) du/ corpm dli^md impensi coUrs^ 
fmf^cmM&ifMdmord > Jim retinet fimuUchrd ilbm in oculk^ Et aui 
Anettceffm jucm^dmmdUmhfipcrip$odoriebdtmriux SoUf^dutJux 
JmfiriM^mordtmfuitdli^umnai» 

Htv^mddloctnmoi/curmn \ invenit fornum lucu iffimin iUo loco^ cf* 
menitcumbicfgmrdmeim: deindeficid$$/eritvifi!n^nvenit imipfi 
fmmmi^mtucH^ Sinoilequidcontingiti,qudndoquisferfirdm$enin^. 
liCiohfiurodfiicitcMmdUqudmordlucem di^extrdextfienterh^&de^ 
iiidicwvertitvifiminUcumobfiurum. Prdtered qudndo quUdfii^ 
xiidiuviridmrimm multd J^ijfiiudinis herbdrum^fiferquoaoriebdtut 
kxSo&Sjficomvertit vifim ddUcumobfiurum , invenif in iUo firmdfm 
(ikritdmdvirore herbdrumsfivero convertdtvi/umddvifihiUddlbdi 
iuvemtcoUresilUsddmixtoscumdtbo. Lege P.NicoUumZucchium 
InOptica Philofophia par.i.cap.7«(eA,6* 

P R O P O S I T I O XI. 

^je^um njifkt requirit fex coaditiones ^ vt 
rviderifofjitaDoculodilpofitOyiyaffi^ 
fOto^direBsi^ifione. 

rttMMeft>utfitopacum»faltemaliquaIiter« Htnc a£r parus»ci;#AMft 
' acmult6magis2etbera non yidetun Secnmdd eftiUthabeafV!/^^^ 
dttatminatuii magnitudinem verfus minimum. Hinc^uxdam 
obfanritatenrnon perciplunturaboculo. T^//4,utfitpofttuyn/ifr,rffivi. 
amtoculum ita,ut per hneas redas poffit in ipfura radiare. Hinc 
«qwltergofunCinQn videntur. ^drtd^nt non £lt nimi^m 
difbinsaboculo.Hiof quacdamobjeda eyanefcuntobnimiam 
<lifiantiani« Sluintd \ ut in ter ipfum obje^um 8( oculum inter. 

K ccdat 



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74 Partisl. Liberll. 

cectat medium dtapfianum. Hinc pofita poft corpos opacmtt an^ 
teoculoscollocatumnonvidteDtur. ^<>x/«>ut4ttUumioatunx 
Hinc io teaebris exifiehtia Qon videntur. 

P R O P P S 1 T 1 O X.IL 

Ohjelh^viftucoYnmunUfintnovtm.^ 

Nlmirnm £Qirantitas;ftD*quacantinentur magniim.patvwi^ 
cra(Ium,tcnue,longum,latum,a;qualc,& ^a iimilia. t.Fi^- 
*^ fajfub qu^ re«9;um,curvura,al£Cium,lae¥e,obtufiim,acuttHnr 
convexum.concavum ,planufir]*fe^ ^t^^l^ fcuUbf^ (ubqna 

fupcrnum,infcrnum,dcxtram,(mi{lrum,anteriu^^ 
4.Situs ; fub quo fcflio, ftatio, ordo,dHpofitia,8cc. f.E>iftantia v 
ijLib %uak>nginquum, propinquum, akum ^ prefiindwii,&a 
^l:CoiBcitMliea$ fnb qua uojtas contl nctur. 7. Difcredos fiib 
qua numcrus, md titud0,|«»tlta^ #; Mq«is> fub quo daratiQ^ 
H^cmpus. ^.Quics* 

PRiELUSIO T ERTI A 

IDEALIS, 

De oculi (imilkudioe» modoque incrddii- 
ccndi fpecies vifibiksobjcdoruroin 

bcuis obfcurum per fbramen 

POSfexf^eatumdYganUmy^ objeBum 'vifity expUcandus 
eSi modw tfidendf y cujtu cum ^^erfiSi0ma fimilitudif 
fitadmrandum ilUtd, Ucet 'vulgatum jam , Natura ^eSlaat- 
lum , quo itt bco tenebricofi obje^orum imaj^nes ita reprafin- 

tantur. 



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PnelttfioaetPpdccH 7f 

tantw^ut mhili^ ifsebjeHis MJcrefent mfifil^ mdgmtudine 
d /ktffiBndfaulo ptpus bUexfUcarefiattti, 'vefitffjsinfifien' 
deViridoShffimiatqueaccKratfjfimi P.Chriftopnori ^hei- 
acri >^Mi rem totamfraciareexfUcatifi Ocmhfitojeu Oftica 
fititdament». %4nte Scheinerum tamatti/udemfbanomeni 
$iteminaPotUtDxa\c[B»rbuu$iJf)znnetEi}^t\({3iB€ne'^ 
didm, ai^i 'vtt O* Cornelius Agrtppa itb. |. Mague 
(af.6. 

PROPOSITIOT. 

S^eties vifibiUs in .Ucum obfiurum intrO" 
mittere. 

P L^cobiaibm,autcodclaTC quodotiBque,attod-i«i P^'^^!^ ^ 
^daiK^ utpuUus hici pateat ingreffus. Huh» loci parietaa^^^*^ 
diqaea), aut feQeftram , perfora torammc exiguo , cuius diano^ mtrnmi*- \ 
tar^tbtttudodigici , paui6!reii^ior,autmiaor, proot resezigei^"'^*» ^ 
kdusdoc^bit. Poteftforameointerii^fienIatius,adnK>^«>']^]^'^'^'*" 
ia(bDdibili,«oc pvramidis excavattt, ad ^ctes melius .difhin- 
Aendas ; qaa<iiTisooc non fitomoino neceiTaciam. Hocfadoi 
cDbfcalum itacIaiide,utnonnifi per foramen apertum tncrare 
poffickimen : & ecce, fimukum lumine ingredientur fpectes vi- 
finles omnlum rerum extri iregione foraminis poiicaruinita^ 
Bt radii eanun redi per foraroeo penetrarepofiint,& in objedo 
partete camdo depingenteanun tmagiiMiiUn^ cum earuodeni 
oolOTi|»is ,moca, (ttu ,&lioeamcotis omofl>us. Quod meliiis 
Bo^Mcies,fi cfaartam mimdam, wt fimilequid iotra cwbicaluQi 
fiNEamioiobteodieris iodebitadi(laotia> quamquidemdiftaoci- 
ani IsDfiis 9l cxpenentia docebic di^ere efle duarum, aut tri- 
gro ijwtharoaruai, pittriamque aliqoaodo , pro foramiDiaoondl.. 
aao^rcninKafajedtffttmdtilaocia. 
. . . . • > ■•^ / K » . PRO- 



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j6 PartU 1. Libcr'! !. 

' P'R b P O S l T 1 O n ^ 

; . Viiro convexefjrdnnm inprtaffecies red" 

dere clariores» 

iftcksn- QI addatur vitrum convexumlenriculare 
€mZ ^bfcth inferatur.vcl cerSjaliove vinculo proxtin^ olnetKkanrUnre iOi» 
ltt9,fiTefbri«^uclux& (peciaexternaper vitrumtraolMatiCpiic 
m^Mud^ «idemac€klent,fedresmult6 clarius^&diftin&iusiocharcvap- 
iS^^^parebunt. ^ ^ . 

P*R 6 P O S rV I O II!. 
^h(onmUa ctrca hoc ffeBaculum mtare, 

imnghut t Omnes res in diartam allapfjc comparetn ficu coQcra- 

rmmi» V rio,it^eft>parmceuusfupeM;iiuDCinfer«»&drxcra;fittotfi* 
*r2L*?iiiftrst«ficico!Dverfol R acioeftjqtna radii redi iacraoiicu per 
Stf^*^ ^ fbranMOyMC paulo poft forameo de€oflao€ur^& fiiperi (eodaoK 
deorfimnioferifiirfom» dextrifioi(koilunitfiot(htdexcrorf^^ 
otdlc«torPropo(k.8.fec}ueote. 
jMSfMMf Sitimdo^ Si cbarta io eadem diftanoa iforaaioie fix^ieoea» 
r$mmm9m tQr,re$extri^ pofita^ , & io^equalfter di/Iitae ^ooo atqo^ diftioAs 
^mffmnmi ^ouotur omoes io charta \^td fi diftindar compareoeieoM^i^ 
^Mjl^aTim(^^^%^^<^ vicioioi^s confuoduoturs vicioifSmac videmortls. 
ht^^kfcM' amd^ftuoc remotiores miousdtftiod^ ceroontur; fi <teQi<|tte 
medix apparent diiHo^^ ^toocumvidoae» quam remoeK ri^ 
ikoiturobfcura?. - - Ratio er drcendispatebic Prop/flbB. . 

Tfrtii , Resforaraini vicfox maiorem charta^ab nJliMilij 
ramioe remotlonem» remotae miimrem exigoatyUt clar^OMi^ 
Ccaocur. RatiofimilitcrpatebitexdicendfseademProimMcS. 
MMimdim S^^^ & eadcmresextdi coliiKataymoIiipiicasnftrte 
mtm^fiiii^ cfcartafocttodum foramioum multiplicati^loett.^ i 



^f*^^ fiao t ioter fe fatis vicina, concurrum divedbcim^K» 
ff/^i^tcsiaakodemciiarta:portiooeiD» ^ic tfgoexoo^do^i^ppi. 
f»* <Iulun^ 



Digitized 



:ed by GoOgle , ^ 



~ Prxlufiones Opticae. 77 

^Dlam. ex uno homioe cohoitem repr«/eotare poteri& RatU» 
patetexdidisPrseluf.x.Propo£7. 

^ff/^ , Hxc omnia niiot > duromod6 dies fit , & non nox, «m i s«& 
fivedeczteroSoUiiceacfiveiion. Verom tamen eft, cxtem 
paribus res mdiias apparere io «baru in die cbra > qo^m io ob^ fsrem^' 
lcafa->&adhocmelias,firesiU«^Soteil)oftrentur. sitaneodi- Uf» tifai- 
ttBeb ^iMnioetur i Sole tpfum fbmmeo , oihil appartk.quia ^ 
cieniiBiemeojiaimaoSolisloiBioeabibrbetor. f«m»m 

Sexiht £adem rcsnon Tidetordiftlod^,in qoaris a forami 
M diftaoda: nain fi Dknf^m accedas com charu ad foramen>^''<''««^««- 
perturbanir tmago ^ G nimi^m recedas» oblcoracury undemque ^^^i^^^ 
ioiimbrsim tenuem difcedit Diftantia tamen congrtia noti^^kfiMrMm» 
coofiftit in indi vifibih , eamque iiocet experientia> ut lupr^ dixi. 
Katjofcr^cxdiaispatet. 'l^C 

Sepiimi, Si aliunde admktatur io cubiculum lomeir, cpiim 
perferameo>aot fi foramen nimisamplietunobfcuratur^autpe* '^«''^ ^ 
nttos difsipantur fpecics in charta. Ratfonem infimiavimus*^^^^^^^ 
pauI6ant^. m^oUitfO- 

OHwoySi cseteris omnibusmanentibns immotts > admo- 
veaturicharca magisforamini »fpeciesinea depidar fiuntmino- ^J^^^fi, 
res> fi removeatur^ fiont maiores } fi tantum diftatcharu4fo sfMMUs. 
raniikelotra cobiculum^quantum diftatobjcdtim ab eodem fo- ^^^^^» ^ 
fUtfDeextra cubicuhim (^lummodo non excedaturdcbira 
ftatida)imago eft sequalis objedo. Ratio patebit ex dicendis n intr^mit* 

* '3t$n09 Imago in charta non pcr tocum murida & pr^rcifis^*^ 
iiiarg|ii)[ibusrelucet,/ed ca qua: in radiis ad foramen &Titrum 
pt i ^fl tftctifaribos > five(quod idem cft) in totiu^* pid ura? medio 
]iccniJor>geclari6s,diftincliu<,&perfeaiu$apparent,quimqu^ 
amedio vcrfusmargfnes tendunt. Hinc ut& ilta luculcntam 
repradentatioDem iortiancur,oportet foramen & vitrura>un& 
€tttocbaru,i i iis diMA(h^ehere. RatiG eft>quia radii perpen- 
^ficularesfun t fortf orcs alifs,ac infra fuoloco dtcetur. 

^ inter foramen fic pidoram incharta>iuit ettam im^gi 
JKL 3 inter 



7* r !• Liber IL 

U€0 9hfeuro hiier foranitn ficob/edum > oppooas aliqiiod corpusiiCTaQddc 
^'J^^^^piduraex charta. Ecdatur aliquis locus» ubi imagints portio- 
^igmur 4 ncm aUqaam>eamque noo io eademtfed in oppofica partetcgai» 
i^^^T' ^ corpus incerjedum IiDiftram , pordo obfcurata dexteram 
fi^/^ teoeat partem. Datur alius locus.ubi ooo certa altqua portio« 

icdtotaimagoinquolibetiftius ftatiooispundo obcceaturtOon 

ita ut exci.oguacur > vel iromiouatur tota quanti tate» (cd ut remfc- 
^^^^taturpertocumqualicacefpleodorisacvivacicatis. , 

foT r^^<^»Siob;eAum»foramcn>&:jc^arta immotamane- 
€hsrtmm aot>oculusioterforamen & imagincmiopapyrodcpidamcon- 
^f^TT ftiaitiis>rem in eodem charta? loco yidec>qu6cunque ipfc pcrgat» 

(ive ^ charta ad foramen acccdat>(i vc contri > & fi ve ad dextram 
iffhc9 fcconftituac»fiveadiiotftram« , 
jmro. DupdecimiiSi oculus poft chartam coIlocctur>vidcbit rcm 

toum 10 ipta transparcntem> &incodcm chartarloco manco- 

tcm >licccipfi! oculuslocum mutct> fi,utantca>reliquamancaat 

immoca. 

PROPOSITIO IV. 

J^nnuJla circa vitra foramtm infirta 

mtare. ■ ' 

rhrs f»- r^Rimh» Vitra convexa, fi major is £phfcr« fegineDta fuerint , ma- 
jorem chartx 4 foramjne remotionem exigunt, quim fi fiie- 
iafihmtMr riotminorisrpbzntregmenu. 

Secundt , Segroenu fphaurx majoris magis ampliantoble- 
4^^^* dumincharta,mmorisminiis. 

^Tertiot Vitramajusforamenadmittunt,quAmiertNafiuia 
absquevitris. 

^ufrte,Q\i6 vitra clarioris funt fubftaptia:,& politiora, figo- 
ramquefphiericaro perfedi^ obtinent,e6 meJii^s exhibent rem 
tralucentem. Qu6 magis autero k fuperficie fpkerica defece« 
rint, e6 vitiofiusid efiicient. 

S^»te, Chartaicaobtendjdebetferamini,&vitro, utra- 

diu5 



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Prstltifiodes Optics. 79 

diosper oeocniffl vUri traU|^iisperpeiidicid«ris<^^ 
camiqoimad vhrurotaliasebiedumclariu ^ &figurami- 
mwnis in charta depidx viciabit Procurandum igisur , ut fu- 
perodesobie<^i>Titrumj& charu,fiQtiQ planis paraUelb. 

&xi», Vitrum concavum (olum absque convexo ai:|hibi>^^>«|^ 
tmmuyprodeft: (edfiindebjupoftconvexumdiftatiaintrory^^ 
lQsaddacur,eapropordoBe,quamtntuboopticorequirit > rpe-/WiW^ 
dddifpiftlooem juvat , laltem in majuiitudme , ut Inferto in fo • ^^''''^l^ 
raflMD cabcYimsprob^ di(pofitis initrudo^experirilicet. 

Sifii$M, Vitrum yel utrimqtie, vel altera fi>lum fuperficie 
coavaomeilcpotefti aker^ pkuuim; 6c perinde eftquae obie- 
fittmrdpiciat^qujecbartam. 

P R O P O S 1 T I O V- 

Spfctes inverfits erigere. 

pR;Mer ea, qua? ad immifllonemfimpItcemfpecreiever&pers^^^Ai^ 

ritrum convexum requifivimos > hic alterumetiam vitram^^^^i/^ 
coQvexum incerius eft necefifarium loter coiiveaium anterius 
durtam loco debito ftatuendum. Convexum anterius voco W 
iodiquod refpicit obiedum>tnterius ,quod chartaro immediat^ 
idpidt» Hoc|>ofteriusacceptas 4priorefi>ccieseverfasdenu6 
amitt fic m chartaro appeUent fitureao. Rariopatebkex 
dioctidbinf rij&in Magia Dioptricalib.io. 

Ambo igiturvitraiofcreintulnimaKqtiemadhancreroex 
materia idonea ftudiose efaboratum > arundinibus fibi mutud 
infertisdiftin&um , iic proreiexigentiaproducivaleantcumvi- 
tris^ 8C contraht : nam fpecies non enguntnr ad quodcunque 
tronim intervallum » fcd certam diftantiam exigunt; qu^ Jicet 
ifiificexperientrainveniaturfnelius, quith regulis^ liaC tameo 
bttviffima utf poterif. Accipe vitrum anterius , ia charomci 
obtCQdeineadiftancia s utfpecierumcbnfufioperfedtfliliiaiD 
eadcm appareat > quod tunc ericquando tsuHuhi cokirem^ivd 
neramlacem a^cies. Quo habito>iniocum ch9rtflr>aitcris 

moibiis 



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«o Partis I. Lib^ 11 

mntbus tnTarlatb^adhibeconvexufn foteriusy&io fljadtftaoria 
coboin(ere,ch;)rcamquepoftiIludiQdebicadiftaQ€ra^quamex« 
periencia docebic^ obycrcexxcipieceoim ea rei objed; (pedem 
credam98c eleganci pidur^. 
csmwm Tamecii ver6 omnia ritra.five pldoe* cbn vexa(Id eftiumiti- 
f^'*?^ queconvcxa)fiveplano.coovexa(idcft, ex una tanctim partc) 
fiveparva,nvemagna|fiveamplc»iiveparva?(pliarrseporcioocs, 
hm ^Mfiai.fauic negocfo firrvianc» prarftac umen mij% feligeQdisfeqttcnces 
^ adhibere cauciones. Primh y uc non fiot (egmenca fehxra? nimii 
magnac>ncque nimis parv x , fed mediocris i qualia uinc illa , quas 
monftrancimaginesaddiftanciam uQiusjduarum,autcrittmpit^ 
min&s fpichamarum. Secimdiy ucvtcrorum maceriafi«boQa,(a« 
perBciesexa^^conv^a:,8c compeceBtcrJac^ Vtcrilatttudoad 
4peciei vivaciutem plurimurti conducit , ita ut etiam videri que- 
at in loco non adco obfcuro^fcneftra patente. TertT^^ ut anteriui 
Ticrum fit majus & majoris , interius mtntis & minoris fphan:« 
« porrio. Pluraexperientiadocebit. 

PROPOSITIO VL 
^AUterJ^ecieserigere. 

sfuks sU' U RigMQtur eciam Ij^edesiQ chartaaltismodis. Frm^ iQVbrCo* 
$0r nigiri nc rcrum extra foramen poficarum , fi quidem earam condi- 
^fj^y^' tioldpermittat ^riv/yi^^fpecuhfubfidiofic. iQlocoobfctiro,^ 
^^^' r^ioQc fbramints QMgQum fpeculum coQcavum appooito , ac- 
. cedeodo recedeodoque cum tlIo,quoadu<quefuam verae imagi- 
ids qoaouutem debita ceotri appropioquatioQe cogoofcas ; vi- 
debisqneeaqux ceotro fpeculi vicioa fiw t , minora & iQveria; ft 
f«r6 extraceotrum eloQga veris, majora & crci^ afpictes. 7Vr- 
pm fi extracubtculum obfcuram paul6 tnfra forameo pooas (pe« 
' cuhimpbouip,autpeluimaquilimpidapleQam:tiincem^^ 
dfs i^rum tp ^culum aut aquam iocideQtes repercuuentur , Sc 
fubfQnf^e^roFanMO exhtbebuot rerum ttnagioes eredas in 
objeAaicbaru aut lioteo. £t quldem fi ipeculum erit tnfra fbra* 

meo. 



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FratlunonesOptiqt. 8i ^ ^ 

I » objeAa ipeculo ipcideoda apparebuat ereda 8e eadem 
ooo iocideacia fpeculo , fed per fora^eo fioe reHe3ek>ne radiain- 
tia>apj>arebuntiQ7eria> , " , ' 

PROPOSITIO VII. 

Qmd fit pi^urdillam charta^ det&miaare. 

'piduraillaquasifi cbanaapparet» non eft ipfum objedum tt-tiampi» 
*- pftefeotatum per radios reflexos , qoia nonmocatldcutnln''''^ «f/^ 
' dum,etiamfioculusbuc,ilhic,rurftiro^deorfumniov^tur} it^^*- 
etf am guia apparet io charta traaspareate,oculo poA ipfam exi- 
fteote, & bac atqueiiluctranscurreote.* objedumautan per ra- 
diosreflexoshonndetur,niiioculusexi(iaEtiolineare^t<fiSf^ , 
utiatbfagiaCatc^ricadicetar.^ftigiturpjAurainaniiiilaliud, 
trifi merarobjedtiexcerm viJibile$ff»6cies j inefaartam itatermi- ' 
lutas^videripollint. 1tapleriqueRecentiores,4cexantt<]ias 

PROPpsil^io; yiit. 

§mmodofiaihA€fi&Hraincharts^ocfUcare, 

TJTcxpIicenKW<juooiodoilatpiaurabaEcineha«a,^i^*jMsi.,/flb,« 
^ OflMteroradium k pundo quocupaue rei vi^isegretfuiKi^^^Uip* 
ftrri in direaunn^utpf obavimusPr«)i]U.Propo{it,5. Sunetft.V*!^ 
Qmncpui^roreiYlfibiiis radiareio iotegni^iiieroiljwxritHn ' 
«•dibinfiQidH tq^^b«raa|>erfedam 
fecqu^ifpoiitopendeac, ^bocpyrseterdidaPra^bktoncprc. 
cedoiM^rob^ttur ex iplo noftrophf nom^Eiou^ 

ea(dcm«b«<Peparce& Si^f^ttt 9. .X.'uraeoti9giia^bribusq9i. 
bwaHlcetur. .Patet «pcpjerientiS, <]uig lux nraniieps |)fc vitra 
€Cibntt,apparecinaarietedbj'ed^Qokttata. 

HitiappQfids dicQ,Lumen,i]oa cura coloraipirum^j^ Ubi> 
minaf o n iiifpecicbus^flvodiipfegrii^pfftotumna^ 

X * quo 



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t2 Pirti» r. Eibcr rfi 

3ue aB,4^en>Jnfic|quodaiiimod6^ &rifionem (leri/ScaDd&ni) 
lud prascipu^» quod prasdbminium tenec Ci!km1gitur flmol^ 
•umiumineingredlantur per £bramenfpecles coibratorumcx- 
traexiftendumtStlumen^prepte^fbramtnisexiguitatem^iitcxiA 
guum f 6c |ira:terea charta (It aforamine remotaf ideo appareot^ 
in ip(a charta fpecies cum (bis colbribus. " Quia ver6 ipecic» 
dimiiKiuiitUMo obie^h>^faasric^,& pcr lineas redasineccflcfflr 
iUiaatttinlbfamiae> autpaui^poft toramcndocuflari , &ficd^ 
culEitasuIterius in dire^m (Kocedtre, donecinchartamim* 
^mpwU^ pin«nt« Hinc ergo fie,ut obie^umin chartaappareat everfuffli 
"Xch^^ Ut ^irimus Propofi t.3;r Hinc fi^ ut magjs chartam foratni' 
t^um^L lNMma(v«a's>edmajusappareatobie(£lumidttmmod6nM 
£€mrum. dbtur debitadi(lintiaiuubidem diximus.ni fpedes cvaoefcaot. 
liiQcfk>utaia>us£6ianMOsC^teifpUparibus»tran^ 
iedum in majpri quanti cate>ni(kiilatetur^ampliusx)u^ plueao' 
meninaturapadamr; HincfitiUt(inimismagnumfiatft>ratDCO> 
acproiiKlecopioiior luipingtediatur 9 autnih^ aut conibfumTi- 
deator oBiedUtn. Hlnc fft » ut Q alhmde itimen adtnittattir io 
Ibcumoblcmacum^fKduw HH)cfit».ut(ichiKaDi»^ 
miiiin adfnoreatur i^ramini>ubi lur eft vlvaciori imago tioD ap 
pjarcat; Htncficiut (i eat^m cfrartanimTsremoveatur^^^raiii^ 
ae^iibi l&tcft irriniisdebtlif» & fp 
nris^^ffijpanitfn eadem pi Aura^ 
ati Hibc-rdmtrafi>l;anmi^inn^ 

iMcernmturomneiihtliartii. HfneresibramitaivjcfnaBTeqiii- 

mnc majorenr cHarta^remotiontm,remot9s minorem. HincTCs 

«K^^poficarmulffplii^^ 
£ X catfoimt)/ Krevftet% titberiatiapacer rtliqtfeftim qtiaB^dizitB» 

^HwpoiJc. pwcedio^J Meo acrtem imfigo-io cifarta oMrfcr 
* ttotuiti-appd^t fihtitrda aiqu^', qtiia radij perpetidiciililrtceriQ' 

charumiibpfifutarforciores, qu^mira Phc- 

ierM) idfeo>fi ioter^ramreo^piAUram, aucioteriforiEtmeo^ 
' ^id^taw,bppeba5«Byi€Ki^<>ipusi,ev>od 

c h id ftu f via logreffti ^ccienmw Si iocctf diarcam fcfefMcD 

^ ■ pcnar 



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Tponascatpm zidcxtMm foramioisiabdletur Golftra pars obie- 

.Ai, quu iaterciduntur.radij a (iniftraobiCiai parteproFcifti. Si 
eco|;pasponatiir aliquaQtum rcmotius 4foramitie»iiveaiite» five 
rxt trojobfuTcacurpidunbH^ia aliqui tantiimrradij in terciduntur. 

TRJELtlSIO IV. OPTICA. 

Dc ViC6oe,1cu modovidcitdl 

QVomoikfatro^idiverfidhersitxfticant,'velf9' 
tms imflicam, £fff qua dtxi PralHfiom fracedcntt^ 
af^ak0frimiim-adomlt^,dei»de.e9(fliadho m^mmqtHt^vl' 
^9emfi(frfexifiim9. 

V K o V x> sn ix> X 

^ 'T^ljxnomenon^ecierummhcumol/curwnsn^ 
' tromtfiarHmtjfM efi^vifioni». 

i|r\CnIus^eritvicefncubiculi } cunicacocaIiTicemparietafn}?Aorm«£ 
^himiorcs ocoluin TeDtecesyicem a6rts replemis;cul>lcali»in »»» 
mrea eft loftarfeneftne dauiiae : pupilla inftar fbraminis } humbr'^^ 
•cryftaUlnariaftar vitri lenticularis poftforamen appiicati rreti- tum httr-^ 
-oa i DBaf-c han ai foraminf oppanfae. Sicut autemrenefti»eubK]^'j!^'^. 
cdl[^djR^feca-nitadremexternumabinterno>enffl^aedi^ 
iDttPtie ri otcmgcpofteriorem , &pnetereaiumtni^'4jpectebus 
iKm pci miui t!ogreftumt>ifi perforamemiu^uye^diviaithume-eM/; ^ 
tmifuaum iaanterioremficpofteriorem, ScfecemitanteriO'^'^'^ 
lei^itbtfftaforiytanqaam extemumab1ntemo»1unriniqueac^'^^^ 
fped wlin gHii datingr^inn nifiperpuptUam. Deindoficatlu-ff»r«/<iml; 
men Irt^eel^, apcrtoioramtne cubicuif « iisgrediumar in <5obi- 
<aium VK^ad velminori«opia> proutmajusautminuiejdfora* 



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«4 . ftift!i' l. Lib. If. 

men; ita aperta pupiHa oculi ingredicnrlaoculomlufnen CHfll 
fpeciebus>ma^isaucmtnus>pfoucdiIacatur>autcc^ 
pilta. Praec'9iWfieut poft roratneh nudum % aut poft Tlctum coo- 
vexum , fic undique decufTatio radiorum incubitufo ^ ex oatura 
^ eorundenrracticMromutapoflpapiU^ni^&pQft hum^^ cryftal- 
linum nc decuflatio eorundem i-adiorum^ in oculo , ex oatura 
f forum^&patetexperimento quod mfra adducemus Propo(it.5. 
£t iicut inpundodecuflationis poftforamcofic vitrumconcur» 
runtvertice^duarum pyramidum »autduoru9icenonwnradia- 
Ibrum» redinimirum&evern quorimire&ushaberbafiinio 
cprporclumrnofb y aut calorato^everfus vero in charta foramini 
oppanfa s ita in pundo decuflationfspbdpupiJIam & hunKNren» 
cryftallinumcoveniunc vercices fimiiiumduarum pyramidcim'» 
dcttcooorttm , qaoromri^us faabet bafim in corpore radiorO|.e« 
verfusinretina^utexperientia Ioc.cit.af^rencUdotcec Hccfuf- 
ficiant nunc^ca^tera tn fequentibus applicabtmmr.. 

PROPOSITIO Ih 

Vtfio non ft^er€xtrami^i(m€m^[edftrint^ 
jfceftionem radtovHm., 

A ^^^^^ decbremtis modum videndi , flatuendum prids 1 
^cft^utriuoaboculoaliqa^ 
jMUBum. obiedam u/que,quo mediantcattiitgatur obiedtmft ab octiloyfic 
fiatviCoiao verda^b^obiedo ip/o vifibili diilenuoetiuraiiqi^dpcfr 
medium pcopoirtipi)atutTvufqucadocutumy quomc^^ 
TCatur ocokis » & recipiendoillud patiatur >. & mediantchac rcw 
ccpttoor>ac pa(Iionc>natvi£o. Ratiodubitandieft>quJaOpttci 
atU9€|iii videntur vetle^ab ocuio exlre radios^quiad obici^um vi»- 
fibtlc vel dired^ > vel rcflcxe > vel refcad^ fcraotur t femper eoim 
fic loquuatur , & fic fuas den^onftratiQtMs co 
yactiosiHosappcUantvi£uaIes.,qu6d aboculoegredlaotur, hoc 

JUtiQOcs porr&probai|tes:TilIoixcm ficriper cxttaouiEoii^ 



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Mmnidienim ex ocu)o>Bz luoc. Prim*, quaDdevoIuinu» vnJe- Vificnem' 
le rem panramdiftaDtem^ compriminius oculimi^coDftrifigi->^'>^^^ 
nuspalpebras^tficmak>fiviemic€amusradiOS. Secundl, ocu^^^^; 
hs vtdcbda defat^tur ^ qoia coofimioiitur molti radij emiflr« 
Tertio ymultor mesftruata iutueDS ipeculumii^cit ipfuin , ^^^^^^^^1' ' 
Tenenatosradiosejcocuiaemittit. ^4r/i>bafili(cusvidcns iio- y^^^^^^^iir 
Kunemioterficitipfiim » obeaDdemeaufam. Slmnth aliqui {o^^iHUimju 
Jam^prepmquo beDe Tident^Doo ver6 e loogf oquo r quia debi. dum^MU^'^ 
lesraafosemittuot;. 

DicetKfum oibibmiDus eft , ooo ab ocula prodire radios r 
^feraotm^adobiedum vifibiJe, fed potidsradios traofmitti ab 
•biecfto ad oculumv atqueadeo vifiooemooofimpef extramif- 
fiooem » fed per i otufibiceptiooem*. Probatur i. quia verif^I- 
raumeft»& quafiperfeootum» princtpitmi illud Peripa^^^^ 
fddq^iiuh$(metmryi^dUMwt^ faoceftrqtiotiercuQOueiDcipit 
deoovoaliquismotusio aKquoy quiaocea oooerat, debetprsev 
cedeteabquod moveos^qaod motum tliumoovum e^citeticrgp 
dum oculus movetur de oovo > elicieodo vtfiooem» quam ao tea^ 
ttoo eliciebatr debet abaltquo alio aotecedeoter moveri; alio« 
quin oonpoteft dari i^atio » cur ouocvrdeat > & aotea ooo vide^ 
Dar^&curouDcvideatpotiilsliocobiedum^quiimali^ i. Vi- 
fi>efta&usvitatis^ > feueft vitalisperceptio ifflagioisobieAi vifi» 
eigmlebetrecfptinrpfo ocdo viuo , & oooio ooieAo, ac proio- 
di^permtnllusceptlooem fit vifio, oon pe? extramifiTooem.* 3«. 
Ncm poteft explicarr , quid fio ti^li radi j ab oculo emifli , quomo<^ 
^EMarictantor, & quomodo traoieaotabocuioadobie&um : fi 
enHHtmQfeuot permotum k>calem 1 vifioooo poteftiieriiDin- 
fcnti aperto fol£im oculo> prarfertim dum videotur obmSia^vaU 
dedlfta^utftdlaefirmamenti. 4. Non eftcredibile,qu6d'tant 
QDMrifocotiis babeat taotam a^vitatcm» ut po(fit ejaculari tot 
jaa««jMui>procu^tamcootioui. 

Ra^tpof r6 lili , quosabobiedi$ad ocuiumtrao/initti dixi-^^-,^^ 
mctf^lfantipfiefpecies vifibiles rerumcoloratarum &j(lumiData 
mmj, diimhf^^jiinm^di^ diapbaoum^Aacrice » &^per lioea^ ^^^£{1^$^ 



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ut dhcimas Pra^Iuiiooc i. Q<ia^quid€iii4>ecies1«tt^|ud^ 
^ies quacdam » dlentialiter repocfentaUTae llloruni obiedck 
' «cum.^quibus profluunt. £tquidemquadomnlacolorauatqu6 
rilluminataoroducant, <c permediumdiA^ianumundequaque 
«diffiindanthuiufmodiQiccies» rixabullo Pliilofopho jamte^o- 
catur tn dubium , & patet ad (eHfum Experimento Prxlufionis 
praccedentis. Qui6detiaminocuk2mj>atentemtranfmittaatur 
!jiuiufniodFfpecies,in quacunquepacte medij intrafblueramfpe- 
^ijerumfitconftitutus » & inter ipfum atque obieotim radiam 
nonintercedat corpus opacum,patet ex^o>au6din«quocui)que 
medij punAofiintfpecies obiedi, ut diximus Prxlufione i» (c o- 
cuhis eft diaphanus 4<:prnea & pupilla ad fundum^uiqiiej ubi eft 
^pecmvi^ retinaepacataachoroidcutdiximusPra^lufioiiei. Quoddem- 
fiMesgHid que fpecies fint qualitates eflentiaUter reprasfeotatlyas fiiarum 
obieaoramt<hoceft>Qu6dhaccfitipfarttmeficna4feunatura,ut 
repr^ntent obieda illa» iquibu6^profluuat } patet Experimeo- 
to aliato & explicato Praslufione 3. 
ripp p Quoraodo vero ooilns roediantibus ipec^ebus^ videat , ex- 
IuyaL^ pHcabimus PropofidonefequMte. Nunc fuffidat icire»excoai- 
^tU^^^ muni-fer^omniurolenfii^praefertim Aecentiorum» vifionem fie- * 
per modum ouiafdam, piduras ^ repra^fenutionis obiedi in ^ 
oculo mediantihus ipeciebussad-eum fer^ roodumjquo mediao* ' 
tifousfpeGiebus repra:fentanturobie6la incharuinlocisobfcu- ' 
ris^ut vidimus Propofiiione L{)rasceden«e« & melius videbimus ^ 
Propofittonefequente. ^ 
MMh»$t Ad radooem dubitandi defomptam ex modo loqueodi 1 
'^'^hTt^^^i 0|>ticorttmajo>iIIosttaloqui,veIquiaoculusperfpeciesintusfu- * 
filu^'faH^<^^?^^ tendit inobjedum extr^ pofitum , ipfique velutiunitur 
firtxtTM^ medianteXpecie»iuttteadem (peciespriusrecepta^extr^porrigl 
m^nfur ^^^^^* ^ octtlp ad obje&aducuntlineas quasdam 

^j^^J^^^^imaginariaSjUtficluas demonftradoM^ Qu6dfi 
€tmfrimM^ rcvcra velint vifionem^eci per extramiffionem radiorum> er- 
tnwsdvif rant. odTi/ 1. radonem In cootrarium refpondeo,comprimere 
^*^'/^ nostuacocuIp&iUtiolttmadmictaiuurrAdii magisperpendicu- 



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Pi^Iisfionei Opticar; 



ftfts 9 & exckxdaotur alii ijui iiiugiaen^alk]Uat»er ob^^ 
itMti&f ioreciiia> in quafitvifioiuc dicecufi c/^2.ajo>de£(tl- 
gariocttIuixi>quia vifiodUAiovicaliSy & fic mediaoce pocenCia 
¥itaU>concun:en^as4pinubusyicalibu5/|uicon(btxiu^ Ad^^P^^^ 
3^te0iexoculis menftniacae^egredi^apores yircofos & pntridbi^^^^j^^r 
eni fMcuIom inficiunc prop^ pofit um. Ad j^. fimilis dacur re- infisimii 
^onuor 'ilafj.pacebirrefponfioexlnfr^dicMdis. 



^cnslblrfiepras F.ekri^^pMf^ Sehehermini^ciAis di verforum * 
sDioialium»&i amio i^if«KonDiac4n oculolbumanp/ Idem audi*^ 
ifrpriiB^ iagaclffimo oiiodam Optioo ^ac deinde perfemec^ 
ipfinn expertas iXi KAihmuifimKmeherm^ qui in^Ai^te/uaLucis tfigiH he^ 
k Gbnb^b. x. pan au>. i^eaperimcncum^oponic i quod qui* •^^^uf. 
teifiKrtl^qoflibetprriefacere poceffi Si^inva(;«ipias octt- ^^^f^ 
kmcaursyaut alceriotaBimalis ^andioris^aiic ecian Iu)minis(ii htiiwn 
ikxfss^ anatomia^infticuendaB occafiofciericobIaca>& jtparce 
id^ore,qu»orneap oppooiciir > reiedobef vo opcicac^ 
jritfpolucrts >cu»ca€fue Adnacti cum^alifsfiarcibes^crai&oribus» ^ 
e6irfqoe denodesibidem ocukim ^^tonecnumores^ per^ rctinam > 
Qcrlucere ineiptanc^eeukimqftie beae loctmifbraminiin' iene^* 
^cubtculi obfcuratt fadoimponis4ca>ucparMncerior excra« 
«riMculum oWcuracom>pefterier'Ver6 incf^vecgac» &e3ccracu;^ 
tt w ikim lumen adffloveas^oeuknipidebis^fadios^hmiinis perr 
eocMaflEk&'F1ipitfamingi%fiQf>aaueumaQ Hua> 
acttempenecrances^ in vicreo po(W>fta}lioufliiiectt0ari >&4ill 
«titt^xecinamufqi excendu Si vereeidem^uloexcracubi^ 0<£#<9^ 
«domAidmowas aliaqMaxiinfpi objcAa iHuniHnaca ^^t^M eo^ f»^^ 




oun\ 



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cumonHubmfuisi;donbus,iiK>tibu5,&iignispropriis,<ii^^ 
tameo (itu )ut penicitlo depi&a; videaotur. £jusdem-expwi' 
meoti meminit etiam f. Nkoi^mZiuchim in PbilofopluaOptica 
par.i.capa. i quoetiam oreteousitaperccpi. 

PROPOSITIOIV. 

Vijiojit fer modum fii^urAinretijta, 

/"YUomodofiat vifio, varii vzvxh explicanc, uticipri dlxL Ego 

m9i$fiM. v^j^nji|;a€xplico. Quodlibecobjcdumvifibileilltiinioatuim 
Sc^juodlibeceiuspuD^um feu pars,di^odlc£pecic&fuas fpieric^ 
per cocum medium diaphanum non impedicum^ & non exc^ 
dens aftivicacis (pha:ram earundem fpecierum , uc diximusia 

%ftcm Prxlu(.t. Unde in medio fpeciebus alicuius obje^Sti repietoiu 
(unc huiusmodi (pecies^ccoca eflencia ip/arum (it io cocomedio, 
ii9f. &tocaIoqaalibccparccmedii^ e6qudd<ju«libecparsfpcciermii 

^um. conttncat toum eflcntiam feu nacuram (pecierora illius objedii 
cujus funt (pecieS) (icuti ouando calorduffunditurpcraliquod 
* fubjedum>totaei&nriacaioriseftintocoilk)(Qb)e<^& 
qualibecparccip(ius,c6qu6d<}uarlfbecparf caloris cobcine;^co- 
cam eflcnciam 8c nacuramcaloris. Quare c^xm nacura 0c eflcD- 
ria f pecierum confiftac in hoc , qu^d (inc imago cxprefliva & rc- 
pra:fencativa(ui objedi , canquam principiiaquoproccduocvf^ 
quirar qu6din quacunquc parccmedii (pcctebuarreplcci flc ioia« 
go illius objcdi ,i quo (pccieshuiusmodi prodocuncur^mino- 
d6 ^ parcc illa mtidil ad ob/cdum poflSlotduci Itneas rc^a^oofl 
incorrcnccs m corpus aliquod opacum,pcr fcloquendo,e6 qudd 
pcr fc fpccies noo proccdancabobjedo pcr medium , ni(i per li- 
neas reftas , liccc per accideos proccderc poffiot pcr liocas re^ 
xas,& refraftas, ucdiximus Prxluf Ci!tm prasccrca fmndinn 
quodlibcc obje&i difliindac ifhamcl fui (pedespcr mcdiom ooo 
impcdicum,uc dixioMis ; (equf cur ukcriijs , quod cxomnibus cA- 
- jedi radiantis puodis (cu partibus profeda: fpcdcs formeocin 
/: omntbus misdii putidis Infinicas Dyranaidcs auc cooos cadio- 

. ^ » n ibs,qiiot\itD fete(cs AMlofupcrficicbui tilonim objc^ftonim qu' 
'--^ Ipccies 



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fraelufiotietOpticK. S> ' 

fpedef prafiMidtiiit , reitkes ve«6 fiot m ifitt nwiii puiAfs leo 
^mbi». Bn^tiia radii cones iUos fermaQcei pracediiac po: 
iioeasMdas^ut dfxkntss Pradul^ «deo tiKHi termio^iitttr in iL 
iif medii pimdiS) fed ulter iusindiredmB proftCQdtwMK , acpro* 
inde ooanes io puodis iilis fefe iaterfecaiic 1 4ic p^ft inceriedi 
uem (brmafit alias pyramides auc cooo5«Klio(os»qiiorum ver* 
cexeft io didis medii puodisibafis vercMn coFpore opaco radios 
dioseidpieoteactermiQaoce. lorpicejtppoucqmdi^graoiimj^ 
lorqoo «^adamieims poooocuc ab o€iilos4^ 

iNam A B eft objedum radiaas,cuju$ {Hioda b ( & quasyis ^^5^ Hg. 
aUaiocer a & B)profuoduncradiosiofinicos^fornMQtesiofi.^'^*^''^ 
jutas radiotaspyramidesgeiniQasjfimiiespyramidibu^ 
FEG, quariimpriorappellacurreda,pofteriorinver(a. 

(^ociescttoqQe igicur pupilia ocull'aperu coilocatur iBsfnmfm^ 
.^iacoBqae parte acris> alceriufv^ medii , /peciebusrq>leci j cuoc ^^&cm 
obieda illa^quai fiioc pofica coocrapupiuam,&4qi2ibusadpu- 
pillamduripofiunclinea:red« non incurreotes in corpus opu-ft!!^. 
cum, miccutic fpecies (eu radios per lineas redas ufque ad ipfam 
pupillam ^ qui radii ingrcdiences pupillam apercam»& peoecrao* 
ces bumorem aqueum & cryftaUioum , ucpoce diapfaaoost per* 
guot ulrerius io diredum iocra vi creum humorem usque ad reci- 
aam, forinaotes , iocerfecaodo fefe mucuo iocra ipfum oculum^ vifi^Ppi^ ^ 
quAm plurmios cooos gemioossredum fcilicec uoum habeocem ^ 
bafioixiobjedo,& vercicem io puodoioceriedioois iocraocu-^^^ 
lomikivenum alcerumJbabeocem bafimiorecioat vercicem io 
eod^ |MiodoincerfediOQjs« Sicuc igicur dum objeda vifibi- 
hk tra&finiccuot cooos radiofos per foramco io locum obicu* 
rum t ladii illi ioterfecanc fefe poft forameo & vicrum io diverfis 
fWidiBt iodeque io diredum progredieoces formaoc alios co- 
ooi^yorum bafes dumexoipiuocuridiarcaiodecermioacadi- 
fiMdt» piogicur io charu imagoomiiiom illorum ob jedonim 
ezot ioraoaiea poficorum > ad qux \ puodis iocerfedioois pol^ 
liia t <bci lioea: rcda^ooo impedicas \ iu dum objeda vifibilia 
franfmittqBf cqoos jradiofos per pupillam ocifli io Ipfum ocu* 

M lum 



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temxryftallmam.oculi in dift^t&s puodis^foraianicsccmosre- 
dos, jndequc in dircdum«progpedieDtcs fbrmant:alios conos io^ 
Tcrros ) quorum bafes.dttm cxcipiuotur^ retina> &ai) Dpadeacfe 
ipHus fiftuncur ac tcrminancur>pingiturtnipfa rctioaimago o^ 
mniumobjedorumcxtraf oiitorum^ad (]ux fbilicc^uci poteft: 
iinea^rcda.l coDorum ^itrticibus ufque ad ipfa ob>eda« Dam, j 
JgUurpotentia^vii] va percipit^vitalitcrhuiurmodi imaginesjn re» 
vifio^Mid, tinaexprciIas;iitvi(ioobjeAorum.. Undc patf t;vjltieacm'niliil 
ff*^ ' aliud.eflc qtiWvitalcmipercepcjonemJnLgi^ 

dcpidse.inrecina. ^ 

C^cerum (Icuc tti cbarca.po(l foramen 6c vitrum» pofitt). 
i)onceri>icurcoloracaimagoobjC^i'Cxcra pofic!,nifijn deccrmi» 
> iiala.diftancia aioraminc,& confcqucnterin dctcmrtnata: fc. 
ftjbneconoruminverlorum fada poftforamefli£c vttrumicliar^- 
tHy ita cttamjo retina pofl: pupilUm &c cryilallinum humorcm^ 
non ccrnitur inldgo obiedi extra pofiti > niit in detcrmtnata im 
tcifti^t^ipne.cooprum invcrlorum poftpupillam.&cryiliillinam 
fkdai retina,*&r confequentetndn nilrin dctermtnata diftaaiia. 
Vcrticis geminorum conorum k recina. Et ratiocft^ quia ima^ 
^ go in rctinadepi<aacftTesphyfica acfenfibilis: ficuti crgo alias: 
res phyficas non falv^ntur in mdivjfibill mathcmatico, aut in. 
quovis jninimo^pbyfico , fed rcquirunt determinatam.quantita^ 
temsita&didaimago. Itaquenonpoteftpcrcipipcrvitibcem 
illAjmago k vifiva(!>otcntia ^ nifi fitiufEcicatcr rcnfibilis^^^oo eft . 
axitcmYufiidenter fenfibilis>nifibafis coni invcrfifn retioa ter- 
minati fit fuflicicntcj' dilatatai non eftautem fufficicntcr.dilata* 
ta taHsbafi$,nifi.detcrminatam habcat diftantlami vertice co^ 
Vide Fig:«<^«itnuCf^atctexfigwafftpripo(ita,inqu^ . 
in.lcpwf. k^etinaei i vcrtlcc coni inv^ii.efitt^iftaQcm » i , Don^4affice»t r 
I.. *Jdiftancia ek v.^:quiacfi(cerecbafim- m nimisparvam» Harc. 
tfimefidiftancta non confifticiniodiyifibilt^fedpendecadiftam 
tia 6;;. maenitudincQbje<^orum ^ aliuquc circumftantiisD dequU 
itasjneJiitiin.Qpt|ca486.aI^^i<U>,fa:to Uti^/Ii 

vertexs: 



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icH 



PracIuGooes Opctca& s/i 

ipwtez ipfet attt i^iQ COQi ioverfi Qiihif prapioquaircrticiiaiit, 
Dinits remoca iiverttce, cermioetar io retioa$ nullafic vifiOjFmtjt^ 
sBooni/iobfciira&coQifura. 

PRiELUSIO ayiNTA 

STICHIOTICA. 

" Dc opticaj pr»(Sic« Hypoihcfibus & - 
Elcmcntis. 

OPficafTM^ica ^j^t infroamiattiam dijfimiUyqua fVf-^p, 
guLu ^afcrihityatqtte pracepta delmedndi infianu ^^i-^^^^l 
btucunqtieyres (jpidscunquenfijkt , aut n/ifibiles , eo modoy quo 
apfarent ocuk ipjas ex determinato hco inffficientijquoque Jfe--. 
des ak obje^u adoculum fropagata intermediam tabulam fi- 
care eoncq^iuntur ^rout infra melius expiicabitur^ Hanc ' 
lutimappeUant per^eUiyam \ licet commmiter TiBores^pra- pcrfpea*. 
firtim Itaii, ip/am etiam imaginemex huius Scientia regulude- I'***» 
Ifneatam '-vocent TerJfeSltyam. Ex hujue Sctentia prafiti^ • 
ptoquoniamin fiquentibus miros dcprodtgiofis modos prodtt- 
cemuimaginesquasUbetin.quibMlibet pLutu defirmandi, re- 
refirmaadique, necejfarium duxi, ejus mnnulia Principia ac 
fveluti •Axiomatdpramittere ab omnibus Perff>e£iirva Scripto- ^^^^^y^ 
ribiuadjitijfaiut tuculentiiis dtcendorum rattopaterepoJptyacHipfuae 
deelarari. FoceHturautemf/ypoth^fis. 

H Y P O T H E S 1 S I. 

\f7/^U r/uSst } qtffililfet Jtapundo, i» qttedUbet medij pundttm , 
^ sd^neire&a imea dtuipoteH non impeditA intermedio ctrpore 

M t opeco^ 



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Goo 



5»2 iPan% 1 Liberir. 

sf dcpi. Patet C9C di&is Pf aslufiooc a^. Ic es iMnnni nSSm^ 

HYFOTH ESrS U. 

^pmB. Patet ex didiaibideinj,& praeiufione 4. flcrequrrarci^ 
Hypothefiprascedentt; 

HY POTHE S IS HL 

% '^^kfafnrfmSmfi^rsinretik^^ Patttexdidheadenv 

^ Pra?lufione4« Propo{itione4r ldcir€oresomm$apparetio< 
fadiis>qujbusipfius fimulachrum ad retinam porrigitur. Idcirco» 
etian^omoe aifpedabiie e6: maius apparee^q^ oiaj^ appttrer 
^fius imagpin Ktina.. 

HYrOTHEStS IV^ ^ 

Qridifpid videtur^fib aliefu^ anfftli videHtr. Patet ex di^ 
Pra;lufi(Nie4.dtaca>Procofic3\8e 4 &fequttiirex H^rpoche' 
^^r^' fifiicascscdente; Nam vifiont,utibi diximus^dum pptMtiA^viiK 
V jmJttintd, Ta perclpitvitaliter i maginem ob jedi ptopofiti impreMam red^ 
H^tm. aac^tanquam (pecuhpiin nindo oculi » qnar quidem imago fempef' 
fubtendiir anguhim coniin verfi , a^quakm aneule coni reAi 
t^frpf00tMh^\. Elink.Eu€Ud habentisprobafiobje^um-ipium vfc 
fom. Etin hocfendi^dicitur^jquod omnis vifio fiat fuD aliquo' 
angurO) & qu6d omne quod videcur, fubaliouoangulovidea-^ 
Vide Figc tur. In^iceappofitam nguram, inqiia circuiuseft ocufiM» eB^ 
mA^ovui. ttnmzi^ A'B objedum racnans^intfa eculum, a b b cooui re^ 
diAS> OJBD' conus inverfiic» £ pun^m tntraoculum inquo» 
dididuoconi(eIeinter(ecant».C£j> «Qgulus &ibquaobjtedum^ 
videtun 

H Y ? o T h: & s r s 

Qr^ videmur Jkhumg^lo maiori , aj^reutmaiorsy qmt fih miitefr^ 
mi»n:aiijp$4j[ubdqjiali^dqfiaUa. Seqiucurexh^pothefipra^ 

eedentr 



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PrxtofionetOpticar. p| 

KamobjeAa quos efficiuntiQc>€iila^fp^ 
ibs aDgiilam majorein* emciun t etiam in reiina imaginem majio-^ 
rera; quas ver6aosulummioorem»etiam minorem imaginem> 
quas deoique angwum a:qualem , aeqoareni imaginem emciunr ; 
utpatei c% Propolt4.1ib. i.Elem* EucM 6c ex prarcedeo tr f cbe- 
mateiiooooqofaangulus p£g, fubquovideiurobjedumHn 
minot e(t qu^ angulo» c £ i>$ etiam imaeo f g minor eft^^^ 
qo^imago ci>: objediaucemmagnitu&apparens (equi^ 
tor mtgoiitidjiieoMmaflnis in reiina expr effar » non iecus ac cla- 
riias, m(tinAio, & iimiles cooditiones apparentes objedi» fo^ 
i|iiuntMK:laritatero> diftindioo^ji&caiteraS' condiiiones im^ 
gkiis ejusde». 

HYPOTHESfSVt 

^fr0c$U. Quia proculpo^ta ks efficlt minorem angulum i» 
oculo» quim pofita minus procul (. five ipfa. res appropioquer 
oculofiive oculus rei)utapparet ex duobus diagrammatis biCvije Fig; 
amK>(kb,taquorum primo respropinquatocuio>in(ecQndb ve^- vJconi£iv 

oculus rei; eftque in pvimo aognlQs a c b mibor angulo o c £» 
atpDtc pars loto s io fecuodo ver6 angulus^ a i>i6r minor eftao«' 

SEilo A c By. fer xLProfofiMXEucUdis >ii inCelligas duci re^^any 
acam pce. 

COKOLL AR I II 
Uioeconigimr,6Ut aequales magnitudines^na^qualiterab^ocou 
\t> c^ftances^ appftreaoe inarquales, femperque illa apparear 
maior^iquae oculo eft vicinior^utafTerit Euclidcs in Penpcdiv* 
Tbcorcm.5«&appafetex primo diagpammate ptaecedenti. ^ 

H Y P O T H E S 1 S Vlt 

^^ffiffimbmJtfreJpora\ qudfidHk^oimonbmy d$xtcriord-\^usfidh 
fittifieriorihtts^fi^ertwd. rtaEuclides ia Peripediva. Ratio» 
cfi>q[uia objpftum ^paodcunqRciUis apparet radiif>qitibos ipfiu» 

y fimute 



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Goo 



(94 ^artfsl. UbdrTI. 

.(imulacrum ad retinamf or rigt tur » & in illislocis , ad qu«w&a 
poccnciapcrradios^recepcosvelucltnaDuducitur 

HYPOTHESIS VIIL 

rentindqualiA .nefnperem$ti$rA.abocul§min0rAy vieinhra9culi 
Vidc ^'^^imajora yftveoculusJit/upraflMumalUfdtJiveinfr SicliDCa rcda 
vi.Iconii.3p^ in plano aliquo , inquofinclongaordincdifpofita^iarborcs, 
columnas,aliav6figoaquarcunque fi,c,p,£,F, pafibusinceryaJ- 
lisAquibus adoculum exiftenteinia a (iivelupia^nv^Dfrapla- 
num ) emiccancur radij b«a,ca,oa, £a, fa> velpocius pytihiidcs 
radiote bac,cad,da£,£aFi Hcque a b perpendicularis ad bf. 
Diccdidancian) F£ apparereminoremdiuaDCia £D,& df(bo- 
ciam £D miDoremdiltaDCia D C, jScdiftanciam dc minorenidi- 
ftancia cb. Pacetexperiencia. Ecratiottfl , quia angulus fai, 
fub quo videcur fpacium FE,cft minor quim angulus £AD, & an- 
gulus £ A D minor qu^m angulus d a c, & angulus d a c min^ 
qu^m angulus c ajb, ucin Opcicademonftro» 

COKOLLA Rl A. 

jEquMUti T-I^^c P^^^' 1, Cur fi quisin planoliorlzoncali confticucusaljw- 
intervMttd ciaccurrim,aucalcifl[imam coIumnam,divrfam Inasqualesfc* 
^u^meZ cundum lon^icudinem parces, didxparcesacqualcscbapparc- 
^0^7re!!nt' antmlnorcs, qu^func^pIanoremocioi«s. Pacec II, Cur arbo- 
sMsptsUM fumSc columnarum longo ordine in ead^ reda IiDCi ^quali 
incenrailo diftancium excremse videanair coo jundac» auc qtiaa 

C«0jUQ(2«. 

HYPOTHESIS IX. 

T Ined faralieU m longum frotraHn , eo affarent viciniores interfif 
Vidc Fm^ magiifrotrahuntur^ Sint parallelas AB,CD,&ocuIusinB. 
yikIco- I^^>'^l^^pu<l^ & i> appareremagisunitas ita»tie ^cmkm^- 
viS.u pud F & Gt 8c apod ^ 8c o «agis,<]u4m apud x & M3 & u 10 lon* 

gumfpati(MqprotiaIuator,iridebttQturm ^f* 

■ , ' tio 



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Google 



Phelufibne^Opticar;. 

a6eft\ qaU (patiuin inter i|»(as apud fi 6cp videtur fubmioori: 
anguloi acproinde minus.^r Hypothef^y quimfj^atiumajpud f 
fic o: &fi longiu^pcotrahantur, evanefdtier^ angulusfo^ 
rkletuc/patiiuiiiinteripras^ 

COROLLARIA. 

Vncpftter I, curporticus yiongse & re^as plateas:, Ibngacarbo- • 
"'fiun fcrics, & fimili a,fnfpeda ab una e^ttemitate, videan tur^'^*^^^ 
cooftringiinangufturtiverfos^afterami. Patet 11, cur ingredien 
tibos templaJooga, videantur pavhnentaefierriinaltum verfus^^/^^^^ 
partemporcaiappofitanij teda.ver6 prolabiad ima; Idem, 
muJ tomagiSi apparet^ fi templa, & alta fimiliaasdificia infpician*» 
turab-extracregioneportac» Scddeiiociterum.in fequentibp . 
£Othe(L. ^ 

HYPOTPiESIS X:- 

TiLjinorum fuh oculb jacentium rematiores a vifufartes , videntur al^- 
^ tiores \ contra verlrflanorum qujtfufra vijimincumbunt^ remotio^ 
resfartesMdima frolahkvidentur. Sit in pra&ccdentifigura oculus y.j^ j,. 
s^planuminfi-aoculum coi planum verdfupraoculum AB,lu-yj^j j^J^ 
manturqueinillopartesa^quales dg, GM^inhoc vero bf, Fi->6t nic\». 
diicanturradij £Dv£Q>&c.. Dico» partem D G.videri altiorem 
fiarte gm;. Ratio<(l>quia qu^videnturfab radiis altioribus > apr 
parentialtiora^ fer Hjfoth y* Sed pars DGividecurfub radiisal- 
itf>dbusK|uiun parsG ut demonftravimmin.Op 
Idtns^ecbor^ praoxdence H)^othe(i probatur, quianimirum 
iotervallum D.&iub auaoreang^lo^idetur^iquam intervailumi 

H Y P O TH E S IS; X T: 

^ reSi^ Ratioeft,quiaobliquatumvidexuriuDaDgi]Iomino»viiij[^^ 
rn,qiiimxcedum. Sit ehim oculus in a, obicdum obliquumhari., 
K^^dcffffsediun jlD/. Obieflum b avidetur.fubangulo s a c; > 

otueAinm 



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96 Partl* I. LiK IL 

obicdum vcr6 bd (ubaogulo b a quaramUleiniaorcftfao^ 
utpotcparstoto. 

HYPOTHESIS XIL 

I X* Ico-* '^^fAfentMhidtes. Sint trcs magnitudincssequalcs» ab,cd> ep, 
tn^oderoplanohorizonulicrcda^j&oculus fitaitionpfis g. 
Dico , magnitudincm a b apparcre altiorem magnitudinc c Di 
8c c D altiorcm £ £. Ratio clt i quia ab vidctur lub altiortbui 
radiisqus^m cd^ & cd fubaltioriousqdLm fiF^utpatctcxfc 

HYPOTHESIS XIIL 

Vidc Fig /57 Si&^^^^ magmtudinum fiprs, vifum ereSfarum , remotiorcs if- 

ix. Ico- farent decUviores. Smt cxdcm trcs magnitudincs prxcc- 
nir.i. dentis diagrammatis>8c oculusin h. Dico, magnitudincm ai 

apparcrc dcprcfsiorcm magmtudinc c d,&c. Katiecft , quia 
AB vidcturfubradiisinfcrioribusquim CD^&cutpgtctcxfc. 

HYPOTHESIS XIV- 

iH€^ frui 1 diHSofticmfer remad oculum reffa du£fm, ifjkm plamumattingtt^ 
fmumfim' Hacc&rcqucnsHypothcfis (untpraccipuumfundamcotum co- 
dMminiHm. dSccmus, imo totius opticae pradicacs auarc dili^cnccf 

cxpiicandum cft. Eft^o igitur obicdum «liquod ab c d> jaccos 
Vid» Fig. horizoflte, & oculus in o, inter ocolum vcro &obieduro£( 

x. Icoii.i!planum tran()>arcns £f. Radicnc omnia puoda obiedi abco. 

perplanum eFj tooculum G,&omnesradijatting£tesactraos- 
euntcs planum illud , imprimant ipfi fiii veftigia. iroprimetn- 
diusBG veftigium I, radius ag vefti^ium H| radius dg veflf* 
gium L, radius cg veftighim k, &aiiiradijaliaveftfgia. Locui 
ergo pundorum a,b,c,d, viforam erit in pundis h,i,x,l, inqui* 
bus radii opticl priorum pundoram attingunt planum £ f. 

; HYPOTH^SIS XV. 

Vidc Fig. Tjf^ oHreivifa locus in alufuo flano foHrem vifamconftituto^uhifk' 
x.Iconiiri. ld(0S0ffictisahculo ferremadflanumufqueimaginatipne reffap- 

duil0, 



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iaam»iffimfbmim^imgk, £ftdQ(m]tu6,resTUAq«adiHl«(ini 
HfCL> |rfamiiip9ft<)HMra(iimiXMiftjkutiim»ie«qW^ 
ie^m M if o D. C<^tMi>Mir r«dl; psoderum u t k i. ^4(cia^mii 
G dadi»«auemliiGrtien^p«rred«»lia«as, deaecfoiMedlopiaixy 
ocoHrramtopaodis ABCd. ^idooisfHioAi « poodam tet 
pim6ti I puodum & puodt x puodum c, & puBdt s, piia,< 

tai o, & aliori&A qu^'^ poodoram «Iki (obiodi pkui» 

paoda. i 

BYPOTHESIS XVr. 

"tMtmvdmmmtni^tVelmuutirev^velmmMtsfhM^jveUm* 
w^tritmfbmUtveldmhmiiKibmeHHqmfimtiL Seqaicurexpr^- 
cedenti Hjrpothefi, quia routaaoaequacuot:|ue fadS ex eoume. 
ntfs, radij optldvelmatantur,TelaIibiplaoaatciQguatqiiiiii 
aotea. 

HYPOTHESIS XVII. PROBLEMA. 

Vgflmmreffetlelimetreeftichje» vt Per^e&ivileqiiimtm,tiegrjuUrr o^i^ 
^■fUibrMtmuimmubd qmidTAtuU divifmn. Suot buius delioeatioois r^*^ 
npduB praxes , quas io Optica ooitra attulimus : ex onmibus eli. 'xrt^ 
gtfifliipiiciffimam8cfacillimam,quculi5eft. Sitplanum axvb, „ i^S' 
iai|aodeIi oeaodom fit optici quadratum a b c d, io multa qua. ^ * 
dnmiladivirum. lo plaoo a b ducredam lioeam e f ad lubitam 
Ioi^tadioem,&perpundum f duc perpeodicularem gh, fire 
at^ialem, five majoreiii, fi ve minorem uno lacere dati quadratli 
eflttquedivideiOtocacqaalespartes, in quot divifumeft unum 
«ladratt propofiti latus, nempe hk in quatUor. Deinde ex pun« 
do E adomoiadivifiooispundbaduc redas lineas> eg, ic, eo, 
bb, ot ccmfticaacar triaogulum radiofiim eg h. Praterea ex 
|Hioda £ erigeperpeodicalarem^BL camakam,Quii«n«Itum/ett 
devatum yiselle oculum (u^raplaoum abs & duc redam lh, 
t^z frccf omowlioeas triaogoli radiofi io puodis m,n,o,p. P<nr 
upcpHnAadacreda^Iineas, redxGH DorgUelas, &habe!»i» 

N ^aa- 



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ft ^artis l Lik IL 

quacfracuni m o h a optici delineatiun y huihensttx qaadrMQEr 
0ptica> auot geomecricafeu aaturakaliabecquadractf m ab c d. 
DeiAomiratienem damusio Opdtiayquto bicfiipponittius. 

& (^qu^i ieu ilacefe v is, afpicm qfuadracunr opticttm r 
hoc efl> ii viMcappareaCy ac G non^dire ance , (ed ob}fqu^& 
lacere^picerecur, debes lineano £ p duccr^ noo in medioplaDi 
atB^.fod ifcerfus alcerucmm lacus yti Mliqua^pr^Oare^icxiictaiiu. 
Praxesdabimus in LibrofequencL ^ . 

HYPOTHEsiy xvm 

tlHfit^ ^ trm Mmbumforkmmsefi miuar ifi^k^ 
fiMb$mimk(i^mmMSdt^0MfiMqmm>p4ries. Rattoeftiquialuminisradi|poft 
& i$mhr4, foxamen divaricancun Scqu6 magis dlftat paries aioraminc, e6 
amprioriicpcrimecrus* Semfer Mtem Ikminkmdgo in f mtufi^ 
t$m hAhet inverfim refpeiiHfmcorforis luminofi^ proprer dtdam di^ 
Taricacionem radiorum. 

HYPOTHESIS XIX. 
^lflinamfiraminiparaifelumfuerit^ lumen corporis Bminofiplaut^ 
^ exceftumyfervdbitfigur»mfor4mwis:atfifUnumobUquum 
figuruiuminKeritobUquafi(iioconi,velfjramidufixUni^firamen& 
c4rfmtumfnofumdiveTfafuerintfgura,lumenforaminisdcco 
ptram imitahiturie^it^fifftrumixtaicpsodfimiliterto^ 
fimhabeuntfitumjiceteiufdemfgurdfuerinr. 

MYPOTWESIS XX. 

Adimwnhrefiis<umradioU$nnifofi^qpofr^^ 
^tenditur. PacccexpcrientiS^ 

H;YPOTHESLS XXi: 
C\ l^mmtotfroiicitvmbrm, q u9 ti m m naribtts offomiur^qummai^ 
wrfimtluminitfartemfroiiciti Pacetfimiiicerexpenencil 

WYFOTHESIS XXIL 
£\Faeumqu^fihresradios Imninofifntercifit, eo denfiorem vmbram'. 
^^j^^^rif ; dmainro^acmnmaiorem vmbram froiicitfExpeMi^^ 



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Prslufionet Optlca^ pp 
HYPOTHESIS XXMf, 

UMira infeMdi *c remitti fotefl \ f Me cim multipUcgtut , ehfcm^ior 
rtdditmr. rmhrnJecmtJaebJatriertfiijuimfrimAid-tert^e^Uy 
i. ritrtitumJetiunUt (i'ficf»rrM.Fmbrtc»rfmpf*c$fr0fiti^^uerteftsh~ 
OmaUconftaix eixperieiraa. 

^ HYPOTHESIS XXIV. 

CjAhsrabtmiieefi fi^MrnefMcdduiMdUffiteritt tmh^Mi&mtkeqf&u 
imtermiftdtm:/! mefertvmtbraeritcefttif bafim kdbemscircttlutm 
ex r*diermtic$nta&»ikfcriftitmtvntkemwttimiHr*di»rii^ 
S^^lfiminor , vmbn corttinuo duffsitum Unptudine^um Utitudi^ , im 
infinitumdbibit. Prima umbra vdlg6 appellatur kvMc^^ ««^V, ie- 

' HYPOTiJESIS XXV. 

' . / r . * ' - .' ' . 

T iMhrtJ^amT&motumeerforuefMciimitdtur, \^d /oUuftiimi' 
^^nepmotum etUm mevetur. Siluminojumfircd ofdcum movetnr^ 
vmbrjt cantMriis motibut<ietur, ^tri tteUcitdte 

eumkminefi^ ExperieQcl ab«c > 
docec 




N 2 L I- 



«4 



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loo 



Parti» f. Libcr III. 




LIBERIII. 
DE M AGIA ANAMOR- 

PHOTICA, 

Sfve ^ 

DcarcanatmagtRum defbrmattonc acrc- 
formationc exOpticesacqucCato> 
ptfiecsprarfcripta 

PROOEMIUM. 

\Slenus:, ad TheoreticamfrMfpueffieSMttOftici» >' 

[tjux J&^nturdeince^K ad^raSltcam, inqiM fottf 

jimumtenetim^eriumOpicai^a^yfvtfote itarcanii Ofth 
f. ces tArstpu Sdentta^ Incifitotuautem dSHagia •Ana»"^' 




^l^ill^fitQticaJhoc eBf alfarcaaikimaginmt$defirntatioailf//facrefr-' 
fi^ mationiBusmflanuqtUbuicu^ue^fudtmodofquodamff^'^ 
tto imagines quatcunqufiiKquih/ucmH^ucflMti,reSli*i'^''^* 
mixtu,reguUrihmytrregu§mlluf,fixtiymolfili^/ur,c^ 

cayir, hon^ntaUbus^i 'vertiatliiiMtj.inclinatik^ ^fiquath^ 
fentaliaeconditiones^itadelineandiacdi^ingendit^vtneatit^ 

fiicerto2m£f<iin^eSia^firmio[a:a2^remtdfrototyf<^^ 



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MagtaAiiamorphocica Pjin h " 

ks/xaltts ^vero locurepraJeutentHr ommMfdeformesacmoft-^ 
finfi. Et hoc '•vocamM msdeformareimi^inefiacreformare 
uuiem. %Al^etiafkdi^ationhac recoUeUionisnomen anijytfirf^iiif 
hmiiKifekimtturialif^x/erofrojeSlionifF^i^^ 
no5 fnbittde ^vtemttr, Bt quotuamdmobitfmodu dMa^or- g*"'"» 
maiominJiitmpoJlunty^metrice,0'mecbaniceiutrarnque^'^ 
iftfimmkm aStiet^imm* -^uohiam^aiemtitmfjmu 
oftice fro in^eBione per^radiosdire^iTjJSt Aiam eatoffrtbe 
fninfe(lione perrejiexos deformdriac reformari fojjuntimd-' _ 
gneti de ttarmpm asrcano reguUnrademtifiHC prtmo de friori. 

PARS PRIMAi^ V' 

DE ANAMORPHOSI 

O P T I C A. , 

■ ■■ : ■ ' sve . ■",■ ■■■ 

Tk Defirmatfone ac Efformatteite ma^num 

prradiosdireBos. 

'C A PU.T L 
De geometrkis imagtnum defdrmacio-> 
nibus ac refbrmanonibus iti 

planis rei^is. , 

RUkflims itffelkmt(tjufet^sre£tas, hoctSi^uaG- 
.Urntterfia exttema extenfiie^ci^MstltidiJitntpmettSr 
ffViiiienu^tabuUfUnaF^chartaacteh 
UopiamahbikfquiainUsoPeratiofacfJfOit^i^ ^ 



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\o!2 * Paft« I. Libcr IIU : 

^RAGMATIA I. 
piffifM,* ^Psmere imaginem in planoMiA vipt MreBe e €ert9 
fUMdTMto pm£haff^areaf farmoQtyexaliis vero locis nwn^ 

circumfcn^ i l J I J 

circMmfirilH.. 
13Ropw)ampf)im6 wi4Ain Gi}9gilikp^ 

adne^am AfiQocatii^es dc Scholia » ex qqibus ^tiam opcra- 
tionxs tkeoria inceUigecurac demonftracioi Dire^le vkJen di* 
^li^u^vi' cicurimago^quandodiroi^ejrregione meditCQnocacu^eftoctt- 
l^m^^' lus afpidenti&,-pbliqui,qiiafi4lo cxcra mcdiomtvdbtaiterfmam 
mi^Mm. lacus eftcoilocacus.. * 

1. Eligacur itt&g^ feu |>rdidt)rpoif q3ip4£uA^ue,6c cujuscuoqi 
magni^Hdif isv tn ]^an<^qocunquc » u(; charca^cabpla>cela I degi- 
^umv8c^i^cairj)|gi^oan'*fiafequadracum a quod ofhoes 
Vide parces ipfius incra (c complc^acur Sipguia dcinde qua^rhi 
fjconii! lacera dividancur ii^ parctfs ak]uales quotcilnque» pares camen 
II. numero> uc quacuor, odoi duodf cin, &c. 8c dudis ^ di vinooum 
1 pundts ad pun^ba oppofica correfpondencia lineis redis,dividi- 
cur cocum qoadribi^rum tn quadracula mtaora i confliQietur 
^^nao^ figura quam Pi Aores craciculam appeilare folenc, quod cratlum 
VisiiHid. ^inftar uc efformaca» uc in dtagrammace a b c d apparet £x 
prococypo (ic cra^tculaco crgnsf^cur in pf^K>rciooales craces ia 
plaQQ e^ormacos > quidqUld in prococypoipe<%acur > uc mo^ di- 
cetur; ' • -#1 - 

vidc Fig. 11. Ui raedio (rfaoj lioquadiflipandaeft imagojaracrad* 
iL Iconit culaca»ducacur linea reda £ f. Per pun<9:um f' aucacur per* 
peodicularis gh adlibitamlongitudinemi fUper quam ucrlo* 
que^ pun<£to f craflsf^ricor niedfotas partwfh ud^ Ifterii 
proto^picraticttlau >cu^)smodi^c(unce3^ituap^lrce f xy kHi 
alKcrji F. 1, 1 9., Pemura ex pun^o e, ■ ad puh(fla h k i g J 
iMmr»du- ducancuri-edailinexi conftitueturfigura>quam triangulumra^ 
fum fn$d. ^Qfynjappgiijblmus deinceps., . " o ' ' * ^ 
■ ~ •■ • "3.EX 



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T 1 1. Ex puodo £ erigawr perptndicularii b l, & in ea 
el^tur alcitudo ocif li quanta yifa nieric^hoc eft, menfura remo- 
cfODisoculii^ ptano^dum imago diifipata infpi citur ; quse mebfu'^ 
tz fitin dragrammatc iptz £ l. A pundo l ducacur diagon^i* 
fi& LG> qua^feeabitomnesfineas trianguliradioffitfpunois.iMr»* 
]9,o,p. Perhxcpundadacasturlincsparallelxbafi gh tr^- 
oogoVi taiiioi} ; eritque triangulum divifum in tot /patioh> inv 
aex]ualia tamen^in quot mradra tula dtviBi eft 
Numreros adfcribc u t ngurar monftrat. His &6^is mbebitur 
quadratum MQoif opttc^delineatum9& qiiadrato aBc» 
proporcionale,juxta Hypoth.i7.Pr«luf y; prapccdentis. 

1 V. Transfarltur fD^harc^ati^lll proporUonaliter , quid^ Vidc 

2uid coQtinetur in ouadiratulis corre(pondentibus prototypiriiiJconiC 
oc pa<5loKU t quod dtinniiedio quadratulorum , cransferaftur m^i i. 
medlQm /patiolorum ; & qaodeft adillorum latera.transferatur 
ad^orum laterarefpond^entia » eo prorfusmodo , quo alias piogi; 
folet per craticulam,yt Pi&ores loquunturs &habebfsimagt>- 
flem di(fipatam , quas prototypo apparebit omnino diffimilis,ac 
perquim deformts»ni(i h certbpun^b infpiciatur^utmoxdicam^ 
His edam Ssi&is, dete omnes riumeros Sl lineas in plaDo du^^ 
relida fblikm imagioe diifipatav 

kd inveniendum porro medium /patiororunr> mindeheDVgMMdrtifi 
dfyfdieaiuduas9tqfialespiartes(e<aindum longitudinemaclati-. ^fime^ 
todinem 5 Ud oportct duas diagpnales ab eorum aogulfs ducere» ^Zm^ 
cu}usltoo.cf^funtit)^atidofecun CVF^^ls^^c» Stuhihssrisimr, 

/emotu6 inrerftcant>utin pundo Ky ibieft medium fpatioli, 8e VideFic>; . 
CDrrefpoodebit medio quadratult fibrdebiri. n. UomC- 

V. Expundo E crigatur peipenchcularlter temina feu.":, , 
brachio!bm>a?qoalc rcifJar £ l ; &:: in vcrtice, ubi l, fiat exigu<* ^^"g- 
omfbrameo. PcrHocforamcnfiin<|>idaturimagodiffipataiaj^^ 
pIano,apparebiromnino fimilisprototypo ; fi^utemiofpi^ * ^ 
ciatur 4 fronte> aut h quocunque aiio locoanooiu 
ftrofaapparcbic; 



MJSi 



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AfaNQTATIONES., 
ANNOTATIO I. 

wJcon.n. ^J^M'^''^^'^*^*'^-^^^ 

i(f»4» difid»tia £ L iffa^CA > vt «buauius incidant rddijvifiuUstt 

jUnumfHbjeSumex»cuU^velf0tim^^4UMim§eukm, 
ANNOTATIO H 

V M ^^O»'^*^'^''^'^*'* ovii ^t squdis uHi Uteri quAirmmi, 
^^p*»»*yf» dffcriPti,fedfotelieJfevelm*i«r»velmin4r. ^ntl 

^^"^^^^temnmMrdebeteJeimagfdiffipMtajMprMtype^tMn 

bet ejje msier une Utere qusdrati ; miner debet effe imagt, 

tantemiu^r debet eSe linea gh, I» utreque tamen cafu utrimt^utl 
ftmih f fmideb4ntfarusimerfidqM*Us,^faresnumervfartfhm 
metketutuuniuelaterisquadratitfidireffeafiici debet image diffipati. 
^upmede vere eferaudum (it vt image di£ifata affarett. nquaifffi» 
fret^yfetdicemusPragmatialV^fiquenti^ 

ANNOT A^TI O UI. 

].Mag» difiipaiapinpMefi velinflane ftabili^velin ^utiU, PUnm 
— ^,..„ ftiSiUptefiejfivemri^ntide,velverticaU.. Hirfx^ntaU feteft 
eifeveUnfraoculum\& tunc.videturimaga catefficeMcefi,de«rfiM 
qiud^. * ^feffande : velfitpra ocuUm i & tunc vtdetur anottice ^ hocefiyfurfm 
^&mdn^. Jnverticali4efinjnfotefiita,utbafi$ gh triaiigj^ra^ 
aiofirefiieiaiU^mdextrumauibnifirumitt^cientUi^ut 
aut fit ft^ra cafut. Infecundo cafu a^icieturcatofticr ,i« tertiodm 
Vidc Fie f**'^^' ^*"* mobiUfUnofingatur imagodi^tfata .foteritin^iciauo 

'froutnimirumvariiverteturfUnum. 

ANNO 



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Magia Ananiorphotica, Pan 1. lOf 
A N N O T A T I O IV. 

tr ^udriOim frHrtypim crMtkuUtim firihM verbd f iMnwK^«r, t^M»» 
«ri» fiitfftU$iiu4drstMtufitig»U fimgMtifr UtterMytiitqiie Utte-f»-»^ 
retiimdetrstisferde iiicerrejpen^eiittAfigti»qiisdrMti oftici\diJpf4-^ft***^' 
^Mtmiii-exdeterimnetefuii&eceri^SUiteritmcelligeiitiir^ 

ANNOT ATIO v/ 

UAme£JfifMtM»cdefia*imdr0,xrtflmieefa MfftreMt&freteiffs vide F,V 
**mftrmmydebetMpcidireae}reff«Hemedyeimdem,h»ce»^^^ 
mmt^MnteUmeMm ^^irmemefreeedemdum^tntet» 
mtxtrMbmeMnMffMmeUterefeJj^tM^itfiumpmdicetmr, Hm:& 
imnfi^iientesimMgimeseomelimMffMrtlmm^^momiAgu fmerikt iSm, '»H*^ 
metM, fr^derkttitm imMginemnenftMtmiimpm frerfm fMTMieUil^illllZZ 
mumti^verticMUffedPMm&mimcUnMri. Sin^nMdpfermmenferfmZ^ 
viiefuiMtmr^feteHim^iciferfHicem &digitnmindicemimcircm' ♦•TT* 
ImfimMfs, PeteS etUm imMge dijfifMtM imcUdi mrcmU dU^^T^ 
deiaJmUtmMferirirtmmUeeUcM&pmMiemreqmiritfmammecnf^' 
Imi, frttereMinterfMrtesimutimiidt^fMtitimterrmftdefinpf^ 

^^firUfMrergMy-t^te^mMgiidefirmMtMMffMreMtimMgeinlamnende' 
memiffeffMnti. 

P R A G M A T I A 1 1. 

^bffre tandem imagtnem in pUno^ vt vift ohliqtie " 
fcm^iaco dffareatfirm^yexMiri/iro 
■ Ucu mimme. 

ryredi afpicttur imago diffipata ac dciWnMttm ]p!aiioall--j^ . 
y<|iio,qiiaodo a/piciens ftat d ire^i ante mediam itnagiQis»uc2£S 
mMisMfNr^cedeiici Pragmatia. ObHqui aipicftur.qaartdo »titm 
BM ftata^pii;^!» apte hiedi um , ^ed ad iatus feu dextrum , feu 4- 
BiftroMimagttoisdeformataB. QuSarcediffipandafituthacra-^S/^T 
tKtoeiitdeaturJafndicemus. . ' 

I. ^jwteciaticiiktut.iimiteaimagopfototypa, II.Do-VIde I^* 



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ibtf ' Fartis I. Liber IIT.. ' 

eatur ih plaoo Koea e f; non quidenDio^mediojoiraiitea > fed m 

pcrpendiGularis fg lubicaslongitudiQttnptoutvidelicetlll^ 
" ' ' {iemagnamaucparvanijniagtoemdi/Epacamicaimiuediyk^ 
tocparces aeouaies^iocipieodoab f, quot partesJbabetUQUin 
lacus cracicula^» Nec eft: oecefs^ uc parces finc oumero paresr 
redpoffunceflcimparestUt&parceslacerumcraticula^ Oe^ 
mmn cK^paodO' Er ad pundki diviiionis' h^i>k,g>« duciqtut 
' ccd^^Sckibd>icurcriaogulumradio(unrco^ 

1*11. Expundo £ crigacur perpcndicularis^E^». adb 
bium^alctcudiiiem^prodifbnciaoculi ^laoo > £cdaMCUF re&t 
fiOi iecans criangulum radtofumio puod is. M^NrO,F>)per<)ux 
.diicaocuitred^laceri TG^parallelx, ntttnctjtadfonptisveo^^ 
. ^e cHanguium tadfofum cta ticulacum; 

iV. Trans&rin*fpatia}acrrxnguUea,quarcoiitioeQiiirfD 
^adratultspFofotyp! corrcfpondenc^bus V. £x pondo e eri- 

Eturljimioacumioramine^a^uati&cedas: « l; pcr quod&t» 
mii^imagidpparebitfbRnofai 

. ANMOTATTOl \ ; 

tii.ic^^viJdiH pdrtesdifudUswierji y d^fdresmmcr^ ffiriibusuniusk' 
iYjc^:;teru,crdtifuid^relipquufjtur ex unorpdrte lined. B F f tiirer^^rtff ^ 
^^^- fdUcioreS:, qudm e^dhdfarte^ vt in figuris. dffofiiis fdtet'^ ^^M^tit^ 

divijfonesf offknt e^ hf^ viimfigurs^'^^)^ Nmeri 

inomniiusqudtuorFigur0jiMdiv.erfi^m^ 

Qhem frotoiyfdm^inqudJrdto oftico^ foffibdberediverfisjitus. 

r / ' PILAGM A T I A 11 1 K 



^ijfffart imjf^inem mfiamy ^jMdiex^^fapftnSk^ 

• 'appareat:calle^k yiqumdo^ im \* 

qtMdiatodrmmfiriftibilu 
Tl^prflseec^ottBusdUftbusPla^M 
^iimdratP' ' «Mbtotyaamcci^ 

• - - . • - ^ 



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:Magia|^9ai90ifJaoi^ca.'P^ J©7i 

i pofficqiiadrattip|<:ratif ulac^mi <Qutndo Jmago pretotypa 
noD eftquadrata > (edaltera partelonei6r^&' potef^ DihilomiEius 

fui^i ihifi i jhfiii (rfrra innj^innm [iirrnnlfijTTirnmnni nhlmi * 
cradculatttmificprocede. ^ 
L Si Tis inlpicere iraa^io^m diifipatam 
£amc«&Q»darcrib€circa ipfam paralieiogrammum obloDgum> y . icoi^ 

mamfh^^w^mz^ in xjUQtcutYquc^pai^es nume- " 

lopnef «'fic aequales taffi4nter4e,<]u4mparttbitHater^^^ 
«. Sitv.g.imagocratkmlata abcj>> &lateramiDoraiinx 
ifirifi tn partes quatoor ,inaiora iDparte^ex. 

1 L &oc4ili«e^o pUoi ,C^n^m i^n^kudin 
w pcr T perpendicuiavem h g, <)uaE:4ttvidaftiit1n1eiMtfqua-^ i & v 
1«faK0siumcaD«^ ^koniCiis.^ 
«Mivaf&is £x £ adpuDdadfvifionis<!uc4iDM»e^Sierit« 
^ oooftitutiim triangukimtadiofumyut iB%uriSTides. 
^ itl; Expundo £ erigeperpeDdiculatem e l, pro alt3* ' 
«daiB^diftanilat>culi>&ducfe^am lh> -quaslecet omnes 
li^Hiihn^nli nilinfi 

IV. Ssvisutiatusndajusimaginisprototypasextendaturab 
xcieifas Tt diTide triangulum radiorum proutapparetinFig. 
Fidt inibribenumeros utrides. Si terd yisut latustnaiu^* ex« 
fir^^Verfus h> divtde eUDdemtriafngulumtadiorum 
>paret inFig. ViL peindcdepi6ge ima^inem ut dldum 



-3/. Exfmndo ^ erigeperpendiculariter1aminama?qua-* 
Itmn&x EL, habentem jn l foramenexiguum^perquodfi'* 
iafrfriaT imaginemdeiormatam iDplano^yidebiscamierormsl- ' 
larit fH»tocypo fimilem. 

^ " ANTSrOT ATIO l 



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ANNOTATIO II 

PR ACMATt A IV. 

^iyefomare imapnm in ftafKr , ^ } cerfct fimSi9 

CQtt^eB^i^a^paiPcM prototjfo /milu ^ti 
n/eldtjiM&f^t^vel Mtaqualisv 

''^aibtttin moao4i^o in PnajgnMCia^ I. 
VMe Fffl. Oo4;i9p}aae*ia-qp4dcforinM4aefti^^ 
vinJc^^todctenaloats loogimdiius } ^ h, qiU^ 

nkTuu cuinTis.i«inotuin jtpuado A> per qood pua^mn » dicn- 
Aam CB. t9&ec ai perpendicttkuiem. £t ftquidem ws oe 
lma£adt/&patadppat«aca»qitMUsimag;iohprocotyp«^ 
CD aequaliMnuoiiateri quadrad craticuIaGi: Si-aucemTtMtaps' 
pareatroaiof,aucmioor>£iceaadem' ci^ maiowm aotffimO' 
rem>in qioacuQque Tolueris proporcfooe. Uanc reAam eD* 
dividein partes aequales,& paresoumero partibusunios bieris- 
qfiadraticraaculaci. £tiiquide.n»visutlmagodeA)nBaM'a%i> 
ciaturdired^acutmedietaspartiumfitabiN veilus c> itn»- 
dietasab n verfus n, ucdidumAiicPiragmacial. Siautem* 
TisutarpiciacurobHqu^>reKnaueplurespavcesver(iis quim 
verfus c, auc e coocrarioi vetrelibque omnesrfiipra autinfiBi 
AB*, prout diduro iuic in-PMgimuia !> I. 

L 1 L Per punSa divifiooum re^loe c »\ duc 4 pun^o^A ic^' 
&3amhK,M^m,ec<, iodefinicatloogicudiQisj & habebis criao> 
gnlumradiofijm. 

IV. Expuni^ A, cri»reA9m-A^i> i«d«-Agp«rpeiidico^ 
' ltfem,in eaqueeligealtitu<un6m4>culi qpantam yotutri». De- 

iadr 



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^oibw iot^rfccat radios triaii^uli radiob 9 <kic icdas^paraUelaf' 
rote co, ot £iAiim Figoraf liabd>isqiieooawatufii tH 
pcicumcfaiwidatoiibHOM crattcolato veUt^oo^^ 

lo^TctkMtqoale. 

V. DefDom io^jpaoolac^ opoci transferquidlqoidi 
coQcdiMBOuio qoadr^Owsq^^ pretotypi » & liab^is ioiagi» 
iieQ»defom)a«arosi|iwu»v^ a eri«\, 

gjisperpeodtcHJUritiMrJaiiloaiyi aeqoalenHoesip; AB^ficbabeotem 
lOfoo^ B parvseoi fiirameiiiper ^oodio^icipoCeritiiaago do^ 



VK Si circa fmadnem protocyp^ noo eft defcrtptuiv 
ipoklra^m^iedparaUf wgaofimifm aitera parte lMigjtao>produk 
cesedot>es re&am^CD oii^pi^e (^el^a^^ialiter ^^dire^^ ris io^ 



i^jceroima|kiemdplbrioatainrTel ingqoohstryaiit ex ona tao^ 
tum pdfterfieaodemTiaio(^lcereobli(ra&)eaii^ 
tet atquales partes^ , io qiiot diviiom eft majus latus parallefo* 



gramoiiprototypi^^AcipoiidoA perponAadiyifionomeduce' 
feredas^coowtoeodom ti^apgolom ra4ioAwi>& caetera per- 
agereocdiAom^ His £ii6i»» lubebit parafldog^iu^ 



camcraeicolatomrio^oodepiogjBrepotes imaginem proutdik 
ftomio Prag^atiaprarcedenti* 

PKAGMATIA V. 

AUtir mf^nesdiformarey ^ fimd atUtartmha^- 

RenmPraffndtiarimtheoriam mdicare. 

/^lTo Jpnecedcntepra^aeta pr«fl[i tlmos>prafcftari etraiiijpo^ 
^^teftliacfatione,qua(eademioree£l cumprsrcediente>roIo' 
opttandi oiodo diverfa. £t licet aliq|sant4 epero^or£ltqpim 
pnreedeos,qjuia tamen eiu(detiv &omnium pratcedentiomprak 
ginatfanimtbeoriaiivcontinetyeam adducere libuif. 

Ir JEigo^iiadainpEMored^AB^eiqueadangulosre^fos 
ckatarei^ co, five«q|Mli;.fi?einarqoau^UDliateriq|a^ lco- 

' O ^ ^ caima- niCi v. 



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aiD. vPirrii Lrliiber-Hl. 

(^«iml^ibein prototypaln detdriptb totidcfnqbe ita^ir£A;1l|!f 

dem redx AM perpendicabriMn c f, squatlemiptil^vl^Mniqtic 
^iMdeibtoti4etti'|>artes,inqt>otdfyir^ 

I L A punao E, per puoda^ivifiomihi redac c f, edUc^ 
£kas Ec, EH»«o, EMjtjuaefeoeriei-e^aai A>M'«D^paQdis <G,«,(J»iff."" 

c«l^^igcft(3liiftw^^ &'habebis q\}aV>rt< 

tum opticum craticulatum,& quadrato prototypp omnind^' 
portioDale.' ^*'"* ■'■^5»^ Ji)*«:>rj fnrrji^mi er»*^ ifi i ' 
D#/ir»»»- ' "RJi't!<ylHJj(i^ •bperationis eftbirc: %\ coglietur <jurfd«a*fc' 
tJnuf^t ' prototyrittmciraticutalfutn FB co, eredumpefpendieularie^tfn- 
^oriM' ^ ttianMu% KMli^iKii A<ii, ia^ttluKis inferius c d quidrati 
5!^»"" cbngruat rcaac^CD «iaflguli radlofis infiltet reda f c quadriti 
thmi». prototypictiamperpendicdariterrea* AM triaDguiiradiofi,a6 
Vide Fie rc(bondebStomnInoj-eaaBfiG*gutasrt'*k>fat;iieaco^lteMj^^ 
i.lcon.<v. aaftare%riipo«^«^c eiufdcmfigUt*. Sligknr redta hA &. 
iamco^i:fe£utetWaafiir6luptaVAri«aM<n^'« 
fittereadangulosfedos, punctoquc tappiicetut<#cului*,radia- 
bunt puncta f p Q R c lateris f c quadrati pf ototypi in octiliimi 
per lineasreiStas FB>^,Q^Rfi>QB!& fihae lineac|>ro^canuirult^ 
riusj<cotttlngentrectam'AMin punctis<:,G,H,o,M. Ha;c«^o 
puiicVa enmt Uica. paacDprwn f,p, Qiiiv^>laieris tpcvquadcao 
pf ototypi, per caquawlviifnus.in Ptadul. V.Hj^oih.XY. Sic^- 
lamfi recta.GHJquadrati prqtotypiintcnigatur^aa perpeooi- 
cuiatitet jfupifapun<9:um s rcaacAL. & oculus conftitutusio* 
refe A H perjiendicularitcr fuf>er eadem recta a l in^iftentiiRtan- 
ccntur a ra4iispun6lot!umTeiia: gh eadcm pun(aatn.rectaAl, 
qu*'jaffl^*^*^t lioltita. ia«ni*e«aR#«:liquis lineis & pubais 
quadrati prototypt. Atquc haic ctiam cogitanda funt in omnl- 
buspraccedentibuspragmatiis. Sedhascbreviterinfifauallcfiif- 
ficiW.qUx^ufi^secaccuratiitf^pHc^masi^ ' ^ 



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Migut<AnaBioipHotica'JPariL ^fiE 

; ■ "•'•'•^- AN"N:'6TATm. - 

<C/arc4 i^^^^f^^m frqfoty^^ d^u^ ^ f4rallcl0grammum ob-- 

c F,'/» frdcedenti radiofifgtir^ v ^l^\^frar^^^^ 
.^x>>9 <^^lp||ffjltfj.^ Relicjm deindc omnia f crage VMiff/n^J^^ ' 

CAPUTIL 

nis.reSlisi • . ' :i j '^- 

MEcBanica iimgittumdifirpatto^ac ct^ormatib-iirpIanUfiflri ^liS*'* 
pot^trtbu9fiib^^itM»paUo8^fcitketfo«itte^umbril^&6- 
Va. iQomiiRjas ufdAil^il^bere/potoA^ffi^ ^f«$iafini 
fcriBit P: Atiartafius.Ki^&tfftfslib.feiicIomt toomU par ji.^ vo* 2**"*^ 
car Veliim Mefopd2:tinf videoque^^raEimtceiida^clietus CQftr 
fljcuctio»- ■ ) . .■ ! r > V ',. 




(qiPlinnodi nobiles matronsead coridehdas faries paHim u» iw 
\eor) iilniiirniJHi ii >ii\mfin , utpr^lj[bi^.gximiatquerdpoili:i ^'^- ' 

BoEt " ' ! . ' ' ' 

\m parecr^^lateriss cp^ tigilliinqp (raas^yeK^u^tnobilr 
f^E F, itaiDferaturi utprol^reoti^arbicrioDunc protrahi,nunc re- 
miiii j>9ffimtr4i:ifnai» St. Hoc:UgifiumA hbe vocetucCurfor. 



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nu.iv. 

4 



lO PartirL Libcr llt 

IIL loparM FCor&rist j^ud c^dkim#o»cniit?erfum 

tdapcetur • ica Curforl Tnfcrtum , ut prorerumddineaikiarum 
vC3(tgencia nunc elevari^nanc demicci podit incra rtmam f. lo 
ftinunicace ver6 iiuius cjgM K9i|iac parvum foramen Cj?er quod 
veluc per diopChvb^^ ddmeacorts tranfpicere pomc. 

* I V. Tocum inftrumentum fic conftrudum firmecurfu- 
pra pedem iik Jeu iia uc (igura mociftrac»feu alia racione fadaiDi 
ericquelnftrumencum Moropcjcum prarparacum. 
Vide Fig. . Poceft ioco dfioriimcigalorum h £ & f fierilijkftt lon- 
I V. Ico- p^ji crunco mn mflxai habeos in parce fuperiore plo- 

raparvaforaminafecundum iongtcudinem naftx di(pofica,prO' 
ucfigura monftrac. Si enim iia^c hafta cum pede fuonunc ^dfno* 
veacur InftruaiencOf oiiqC CjpfPovMCurab iUoproextgeQCiji) & 
tran^iciacuf nuoc por luperiora , punc tnferiora Toralnitia, 
proucopusfueck s eui:^demv(ttmhal>epichafta,quemhabept 
duo dida dgilla InftruroeacQ 8c fibi iuTicem commifia. 

A NNOT AT lO. 
inltnmm- t-I Oc InjlrumenUfm vccdi f^XkihermmUm^ Ijiefipticim , ei i 
ii M$fifi^ti Ti f^ripfim $ ViMi^ dUphamim . a^icidmm rtimeice in veU Imrr 
r^fMuid. ^iiQi^^M^ &3kflm.vtni$amfii 

templMmyvrhycamfm,/ylvM,m0nit^&c. ^fmdefe iffim delinemftni 
vU0 fer} ne^eftie ncn peffn , & jf^^m inxta neinreiem fitmm ifmekjj' 

\ tiatsm^ (^emnem frejeSfionUhfticeretienem. Veri^dibectMlfi* 
Knnc efieniemm , tdem InfirumentHmnpnmittktviikeffehiidmh 
t^nm diJfifMtianibm mc deformdtienibm , dt fuHmegitimfp 
endte, 

PRAGMATIA II 
linaginesm fUnisre6iu eltpparifer lumtn 

L IMaginAem procotypam quam vis diinpare>exrcinde,&puoda 
f€r immm ^achoeamencaiilaquacin plano noundafunc» perfbrai&lic 
^mhmm ezlciiTam 



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MagiaAiiainoi^otica. Pars I» 
loltraiiieiito,reloprittsab]ato^ • ^ . . ., 

yctticditer.vcliiiclioatim,. DirffldeprollbliwocatfA^S^^ 
F, &elcyatigiUani tc, proiitmagis aut inin6«<»ilfirianda 
«ftima»» , aut proutloogiuf aut brcvius eft i^anumid qaodiffi- 
Mclaeft:qu6coini*nagijcxtfahii;ur Bi.,acTO 
cdaMleracdefomHorliet<h%atio> . 

• in»"-^* /"^«''''"^"^'•^•'^'^^'^^'^^«««^«fc^riocoh»^ 
loOjwcisdelincationibusordinariis.appIicalumcnfta.otima- ' 

JoexfaHa proiiclat umbram foam to planom , In quo difliparl 

ebetimaeo ; & luxuumbrar cxtrcmitatcm, ac iuxta pundalu- 

cida,pcrroramioaproleaa,deUocaimaghicmf«ciflicb^ 
pcractain. 

Sitproiicicnda in planum.acdiffipaoda crux.JExfcindecam 
qt figura mooftcat, & intraioftmmcotumaooommoda. ac<fc- 
iode lumcoappUca ubi g, proiiciccqoecrnxfuamoiiibiamin 
tobmimiiuxu cuiusumbrarcxtrcmitatet fili»easd«icris,Ii^e^ 
bu^acem optic^4cIinaKam ac diffipatam. Eoddn modo fi' 
Mrforescructtpuoda a aca),f8cc. traofiboot radii himioofi. 
^lommepcrforameo G propagati,perdi<ftaforamioa,&iopla!- 
no dcfigoabuot pmiaaiucida a,b,d,f,&c. qpx pdnda fi wn- 
'^'g ^< ^"J'oeu,babebisfimilitcrcrucemdelincatamacfimul 

ANNOTATIO I. 

^Utenbm, &f^*UterM,tMu,Jmmter^Infirument0m^^^^^ 
^•^veletmr.vtuullumimueHMdtUmumperveniMtm^^ 
&rMtti,^mimMgtnkMffif0jiMmeu£resfHccedet^^ /'^«w* 

ANNOTATIO U, 

P ' ^i^L, Ptrlmmm 



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H4 ' Parit» L Lib.rllt ^ 

§hM^sw^ eiu^funSim&cre roy quaji crilfrum ^ferfires ^rurfim^fiifyrumftr- 
M? . ffrdf^mfj/fiffJre^cki^ 
1 ' ' ^fiafr4^^^^fif0f^f^^ii^f^^bartdre/tf^^ 

cbdrJ^eum cjtimirnm fufra fldnum veniculiter fitctuas , /tf/ 
^mfVhidbfciffii farsefly fumen^fHcesdd lubitumremotumdt eUvp^ 
twmj& trdie{iesrMdiaskifUnonates,driuxt0natMt4tfun^a iinedwen'^ 
tddfhite dsscM, d^tim mdgisdeformubiturdc diffifdmiurfgmd in pU" 
ita^ SifiuddiximsUyfdntcumQsnitchtsrtMceo^dJUmcdtfornu9^ 
X ffAtid^. Se^^hacfofiitMimfiMuldfdrteh^ inj^ieedffcf 

yiScYvgJdmiFsfftrdm^ 

^con. . . . PRAGNfATt A flt 

nAHnnr ptr Utmett^* ^vmitbram dijfip^are imagr'^ 
, . . .. nes inflanisreSlis. 

I N ¥«Ialr4a^ceoi(Bi«ftrttinroir inefoptki deKncetur im^ga 
'*diiSpao<!U$& liQe2etc|Kir€i»prindpa^^ 
4ciincaiaB o|l)4ucM€ii« colore aliqutxcrafliore v acd^indeaoce 
¥«iumvm locotibi ocuXw applicari d^bctiapplicecur lunfeD^& 
planoi^^teQtttrveftigfaumbra^iacajxa^apt^ Sfcolores^ \ 
aonefficereQfumbramfatisdenfam,poteft(bpraIioea5&parresf | 
nnagjnisin velodepida? coUocMires aitqua opaca> utcharta^ \ 
^Ci)tt|jG4Qiculi>6c(iQ»iiiat 

P R A^GMA TLA IV; 

Shidtmferficere: 

▼id Fi l^^^r^utanceadidum^imagincmprototypm^am^ 
fLlcon^ lnftrumentummefopticuro,vclp.aMatoraccommbSa. Dcio^ 
' deapplicaoculumadforamtfn G tf^iliiVc, ediTit)tteperfo 

Qa4n imagincfada^dh-jget&iwiafUA^iofiafim^ 

oaturradius iibicAimieiidocus^iiddDilim 



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MagiaAlQa«i<irphbti)caV Parsl. ^ 

c ORQLL A amM. 

De modo plantandi hortumjaui, ex certo loca cm^ 

Jpectw rejefat pguram aefideratarH^- 

LJAcartepIaniari potcfthortus arboribus , flortbQs,lierbi5,a^ Vidc Fig* 
^ lifsqueiimilibusrebtis^qai excer»l0cocon^e&i» t^IconX 
£efic(^rapakttjbortocoQtigua,rept:adeotet%uram:|iDmu^ \ ^ 
ififtiJar, leonis, aut quamcuiiqueclendecavehs \ & oimitmn iigiM 
prardido raocIoexfcitidatur«acrperlbre€ttr^ ficiuiecaierafelaiiaEL 
tremitates , aut foramina per foramenLO itigiHi pg dirigatur 
dius Ti/ualis,ufquedum te^mtDetur ad payimcottim iUud au^ , 
Jkortus pbntandebet»&tQt6rmtiiisjubcaotur4/ododengiW 
ciJ/itauc collocaiMrlapidess ac detndpixrlKirambettmiUbAiti^^ 
turarbores,fiores,berb;e,fbntes,fluvioli,&fimflia: 

PR AGlSl Atl A VJ 

Difff^im^^f]9emin pia»up^erfim». . . . 4^1 

Xicinde & pcrfora imaginem modo (atpe dido > .8c*ttitr« ta-^y;d^f jl^ 
•■^ftrumeritum ijnefopticum vclo deftitutum apcommoda. De- yV konit 
iAdealligafilumfubtilepundo g cigilli FC,illudQueirxitendeita, ir^ ^ \ 
m radatimaginisexfciflas extremitates,autcranlcatperiWrami- 
mfada,fimuiq> conpcingat fubiedum planum. Locus enim con- 
^dus in plano erit Jocus rclporideos illis l^naginis prototypas 
pundis» quasfllumcQncipgit,auttranijt. ^^e^claraeftex iSgqra 
pr«ecedente, & totaii) radioriim opticorumnaturam clare ob o- 
cuios ponit > potericque bic modusadbibcri in hortis plantandis 
ex antedida arte, ep qu6d tun^: difgculter radiusopticusper i- 
m^gioisforaminaadfubicdum planum ufque dirigi pofljt ac 
ootariejus terminus. 

ANNOTATIO CATHOLICA^ 

^^qmhmnmj^itiBmdkis pUnJt^cencwiii cenvexk^ixtn^ mttrci^ 
fis/^qudcmi^rationeJ^^i^^ \ 

P X C A» 



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Goo 



] 

CAPUT IH. 

^Desmagtmm (^ormathnc ac reformatione in 

_ . \fyramidihm conyexis^i^ concarvts^ 

'u^mnWt jQlpyt^mddc^ ioCM caw fmty & iatefti^interiora exterforibtfs 

^^'^^f* tnliamnfiparaitela» 

tf^immibiisiqd^ Priomappetfa'- 
jBUSiCOidmast^ :p&(htk>resrotx^ Pyramides cot habent 
|iktia(<^fth)efi^e5^^ &c iauDuni pan- 

^nn^ qoocTMoboemappeUaiit» conBaentes-, quot tatera faabet 
hzihcuivkxa!^ Ntxlabafi& figciriam pyrami- 

dcs^p^^miaasmstiiai^ pet>eagon«»liexago* 

P.R ^\G;M A T I A I- 
9i0^e Defirnrare in pyramideconvexa % c$iittf ha^qua- 

Vide FfeJ-CT imagine pra prototypo , inctude illaro quadraci> 

i^IcoiriC B CD> wmpr^didumert. 

IL (^adratumiiocdivideperdua5dlagpnaIes,AD,BC>6c 
per dii^ls dtametrbs, £F) gh^ fccantes fe orthogonaliter in a y eiot ' 
cebtkro. Q^amtibet deinde diagonalem divide in partcssrqtiaies 
4»9>i2>T($iautquotcunqueplacuerit> pun<ftaver6divinaniscon- 
|un^e lineis rcdis v eritque totumquadratumdivtfum in plura 
^ trapezi^ > feu (pattola , ac prasterea in quatuor trianguUcrauccr- 
laUtbempeAoa aob> BOD,DoCyproutftguramon1traL Quod- 
Iit>etautemex his quatoor tnangutisrepr2efentatunampyrami« 
dis faciom trianguiarem 4 bafi a<|yerticemafiurgentem> ita uc 
io triangulo v. g* a o c, latu^ a c, repntfentet baiim> pundum 
nerd Q vcrticem dic^ar triangularis fiiciei. Kumerosad&ribe 
prout6guramotiftrai^ettomiAaliuf{a^ 

3. Iii 



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MagiaAttaniorphotica. Pan L nf. 

IIL Jn plaQoaltquodiie redam ik, aN)tialcmttti^lttenvi<leFig^ 
hafh pyara^s in qoadi0ipanilaeftimago»eaniquedivideiQ eu^n- IcomiC 
xqualcs^artes» io quot di vffa e(l diamecer b aut g h, quadrati v^* 
circa imaginem craticuUtt* Detndeex medio eius pundo l duc 
hoeam LKperpendi€u)arem,quantumfieripoteftloogam. £x 
hacUoca ablctndc re&am lq, xqualem altttiicltoi oculi fispra 
pyramMfasapicemeleipath dum iiilpiciturimagodif&pata* 

]'V. Apaoiftis ^ Sl K adpuodum dttc re^ lineat 
ic^cQ, Scnabebistriaogulum ikq, quodreprxfentatunam 
£iciem jriangularem pyramidis datx » vel poti^ {cdtoncm py- 
ramidis i fi ea per vcrticem & axem feda eflet ptana binis baus 
latenbus paraltek^autperpendicularh 

V» A pundo oculi r ad pttnda.dtvi/icnisfingula reda:r 
1 1^ doc redas occultas r m^k n, ro, & k>r i^ & notapunda Sr 
T> V, in quibus interfecant redas i Q> k Per hxc punda 
ducatmir red^ sxs, TYT>vz v>paraIlel^ reda; ik^ eritdivU 
fi]m& crattcubtumoptic^in totpartes feufpatiofatriangulunv 
iKQ>^ ioquotdiviftrm eft triangulam • a o c quadratt prototy* 
ptcrattcitfiti. Numerosad/cnbeucfigiiramonftrac 

VL Divifrooembuiustriangultcraticulatf iKQ>curao« 
fwiibiis dustpatiotiS) trans&res proportionaliter tn omnia qua-^ 
tuor plasa feu £icies pyramidis datJ:,hocpado. Siogula latcra: 
b^^spYTMnidisdivklc proutdivifaeft tinea i Kr& fingula pla* 
ooraro feufacierum dusdcmpyramidis fatcra fuprabadmere* 
da divide prout divi£ft funt latcra i q» k q. Dcinde extrcma 
punda ss»TT,vv> connedcIincisredis>baft ik parallclisi6c 
habebis omnia pyramidis plana craticulata. 

VlL Taodem infpattofaquatuor pianoram (rccraticufa-- 
totmtramferquidquidinquatuorcorrefpondcotibusquadra^ 
tipraCDtypicraticutati trmngulis aoc,coi>,doE|B^oa con-^ 
tioetOT»iiiodo8c cautelts inantccedcntibus di&is \ & habebir 
i magi ocPj prototypam in pyramidts convexa feu exteriori fu» 
pcr^ediftoacam,& itadctormatam>utnihiIdeftind^intefno« 
fatpicac^oittociilas (uprapyr^UBrAs vcrticem6c axcm^Icvatus 

F ^ tencs^ 



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n« Partis I. Libcr III 

teDeaturmtancidiftaatia^quaBtaeftreda qr. Quanivishaec 
diftancia ocaif, dum pidura lafpicicur , ooo coofifbc ia lodifi- 
fibfk. 

ANNOTATIOL 

TyiSfuTd in fjrstmide diffifdtd fHeH in(^ & tdtpftich &dmmc}% 
^ infimMdhdnMntemfdrMlkU^cenammxUnMtOsdimmMtM^ 
Im fimfer imnunedt vertics & dxi fjrdmiHf ddfjerfemdiculum. 

ANNOTATIO IL 

Vidc Fig. 1? fiuthe^nrid huim frdxu fseetexdtffu PreluJprMyfetki^. St 
1. & 11. enim imdgineris fjrdmidemejfedidfbdndm\fjrinfrdiffim ceScci^ 
IconiHv» tdm ejfi imdginem frdtetyfdm eiuddrdte a B c d circumfiriptdm 

crdtkuldtdmsrddidhitfunSum o imdgtnis ^r funBvm fjrdmiJdi 
inoculum r, drfundum l infunfhm^Vj &fun£tum k in 

T» &fun£ium i in s, & fun£ium k in x^c^ficdeuUisfun&it* 

ANNOT ATIO. 111. 

p Ojfunt fietifjrdmides dUd^ humiles, lergd^firiBd yfrout UtMerit $fe- 
^ rdnti^&inomnihmeddemfirvdnddeB^oferdndimethodmidum^ 
modobd/hfjrdmidiffit^vtdixiiifuddrdtd. ^uomodoverofrocedtu- 
dum qudnao hdfis non eH quddrdtdjfofted.Jicetnrin Prdgmdtid FL 

PR AGM ATi A II 

T)e modo dijjipandi tmagines in pyramide 
flicatiti. 

TyrMmu Ci pyramis fiat ex materia plicacili > vit ex pe.cgameDo» charta 
' fUcMtiik. ^cra0a,lamiQa rubtili,& llmilibusvpofluDt io unafi^a charca 
DsjjifMn 1*. aut iamina delioeari omnia pyramidis plana (^d facies>ineaque 
Tn^rmmidi^^^^^^ atque depiugi imago prototypa, acdeindelamiaaieu 
, ^fif^Mtm! 'charta coroplicari)& hlibuerit^autopusfueritiadgiutioari pyra- 
midifolida; eiusdem magnitudiois* 

5i jgiturdeformanoa atquc pingeoda imago in pyramide. 



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^slcfraflgdTa fea quatuor facierum ucancea> eoius bafis qua^ 
draca t{t \6c procectc. Deiinea m eadem ckarca feu lamina videPig;' 
^DacuorcriaDgula,fimilracriangulocracicuhco iicQ paulo aii<» n. icQnif^ 
f e po(i€o>hoc efliqubrum ba(es i k finc a^quates lacerrbus bafis 
^yfamidfsfucura^;S4 t4 ticarqudlisalcfiudiiiierasdempyramfL 
dis. Hoc autem faciilime ica efficies. Cencro interfallo Vidc Fi^^ 
AB« acqii>ah lateri q^i pra:cedentis triao£uli crariculaei iKQ».Hi-Xconiii 
facarcum &n> ficineum transf^r quater balia ik dicSfttrian-^-^ 
guJj^iioc eft,unum latus futurar pyralT)idis,nocacis in arcu put>dis 
BKL .\t N. Ncctodeiode duoquaslibtc prosima ptinAa pedir 
lioei5,& ab e^ciem ptin Ais duc re^as ad cencrum a & liabe- 
bis quacuor criangula,qux repra^fcncanc quatuor futura? pyraj^ 
iiiidi5£icres. Divide deindcqvadibeclacera ,pFouc div<ifafunr 
Utcfapnediditrianguli iKQv^Scdu€re<%asItoeas cVrE ffGH^ 
babebiaqae quaiuorcriangula opcic^cpaticulata*^ Si >am craos- 
knts cx quadraco procotypo in hxc fpatiola correrpondenciaj» 
qufdquid ibidem coneinecur^odo & caute&a fxpe di£hSL i habe^ 
bisimagiaem^ io>omnit)usquatuor&ciebus diilipatam I&: pyra^' 
mdom prarparacam. Quam fi complices ut oportec, aut cif- 
cumplices tolidx pyranriidi in juAa diftantia oculum tcneaa 
inpiaapfcem etus elevatum.yidebisimagtoem reformacam,&. 
protcKvpo prorfus fimilem^ac practer^ ita, acii io plaoaioperfi^ ^ 
cic dcpi^ forct. 

A isrNroT AT la 

Q^dJiximus itt Bdc PrdffttitiU,l9cum itiam Babent quanJo fyramia 
effpduciorumautplurium facierMm fuam qfio^r : eadem emm ia^ 
mmbm efi aperaudi muhodm. ^ 

PR A GMATf A m. 

Dij^art im^mem in pjramide trigona. j pffffO' 

ciennn. 

\rfcfffntnqttom0dodifIrpanda (k imagoiof^yraniidequafuor 
^ €uaeiuni,qjaandQbafisquadrau«fti¥idbndumouiic, qiK»*- 

1B049 

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126 Partit L LtberHL 

mkodo idem pffxftaodufii io pyramide trbsm, quiaqne» ftz, £c 
quotcooquc facienim>aiiarum bafesfuot cnaogulum^ peotago- 
>aura.iieia2ooum>8cc. aumnMd6 reeulares (iQt|hoceft»diuii- 
mod^omolalaieraSc omoes aogoli Sot ioter fea^qualet. Quo- 
modoTer^ pcoce^lBiKfcimin irregularilrast poftet tidebtniria 
PragoutiaVK 

Sf^!^ §• py^^^fdetrium faderum dijjtpare 
infyrMmi44 imdginem. 

Vide Fis. I prototypam » qoam di/fipare a tque colligere ico- 

i y. Ico- ^ pyraoBtde triaogula » ioclude tnaogulo a^quilatero 

ni£ v/ &aequiaogolo abc 

II. loveototciaogdlciotro educexilloadomoesao^ 
golos re Aas Itoeas OAyOB,oc> eritquetotumtriaDgolimidi^ 
vifismiotfia^actiaiistiiaogola aob^boc/coas quccorre- 
ftKmdeottriMs fiiciebospyramidispropofica;, io qua imagodif* 
^>aoda eft. Ccoccom porr6 triaoguii «quilateri reperi tisr » fi 
fiogola triaogult latera dtvidas bi^iam» & ab aogulis ad pao^a 
diyifiooisdiicas lioeasredas: ubi eoimba:femotu6ioterfocaai^ 
otbkio o» ibieft ceotrumquarfitum. 

III. Quamlibettrtomre&arom oa,oi»oc, (qoastmpo- 
flerom vocabimusfeoAidiametros craosuii) divideio quodiott 
aequales parces» pua 4,6,8, &c.(oos hiceas divifimosio 4»>& 
poodadivifiooiscorreQ^oQdeotia oedelioeisredis,utiio figura 
fadum videsi eritqqetriangulum divifum inaiiaminoratrian* 
gula intema etcerao parallda , fimulque craticulau erit proco- 
typaimago,8ed}vi(aiocerM fp^ciola» Numerosadfcribeutvi- 
dc$i auc uc iubec Tandem femidiametros cHanguIi prodiic 
per ccntrum o ad oppoGU latera , dooec. occurraot puo&is 

Vide Fig.- I V. Iir plaoo aliquo duc redam d £ , «qualem femidia* 
v.Icomv. metrobafisdata; pyramidisyeamquedivideia M|a?qualespar« 
tes , in quot divifa eft unaquarque (emidiameter triaoguli » circa 
imagiaemprototypam dcfcriptl Deiodeiiuicre^ d b dac 



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WagiaKnid^oi^hbtfca.'tarfl- m 

DcmavMx^G' tlacwfi:an|'i^B(' ^:dx s «ad.pbnAai^tf^ftQiQia^ 
H,i9K»r«^lq& -i> a; 'dacrci&asociAhasyacnota^iB^^ ^fiii4A in 

u>>fta»ifQ, pacaUelasredur Dfi9:& lialMbi&^ciaQ^litra oia 

^>yifgddmeaium5ccratiftriacom,corrdj^^ 

«litriangiilisjmagkns proee^rpa: ccati(»ilatar;Tig:^(c^ 

aoliiant aitericmconq><ofnniaenana:qfnJini^^ 

tafrboctciaogiilura aiajQ^unamifemifiidem pyfannidiscrigonas^^*^^^^'^* 
4zt^^ pottusjtfcmtiedtanenveiusdem pyramid^ifieaconci* 
pktmt ieda filaMPiper ▼ebciAca 8c centmm bafis tran^unte & 
mm^o dkmsfiMmudi%s DX^femidiafiieter lacus^. 
lai£a<iTefticem^iHM[^ , t 

.V.* T&t^lapfcamidisda^ 
<k^jtQWtdi¥tiund^latu& £o inpcmdis u^^n ficpundacor^ 
refpondentiacoDDccVc liDcisredis. Divide detndeiingulaiNa* 

£s latera bifariam pu^ ftedivi(ionM^4'^ 
lioeampermedia^iipyrarnrdislacics ;eritqlie tbta pyramiscrati* 
i^btii^ j^in ti^^atioJadtvifa» io<]UOtdiviium cAttj^tfgO^tt^ 
cNatmagiDem ro^ Si jam eaquaefoDtinfpatiolis tri- 

an£;nk€(i^i<)|bgito<taibrmati , traDsferasjiii corre^ondlentia 
fpatiolaln pyramidcformata > h^ibebisynaginem opcic&diilipa- 
^m»fiecexaliopoD4^o^quamek f fupra piramidis verticen^ 
aj y wfclMi ixflteaaScprotot * 

tL7v 1 . i fWrjhna^nm dtfimarei 

<2U^ jproocdttMium eft^fi p^ranjts cft penta-D,;^?^^!^ 

^^V^^j^^nVtnf)!^ facicmro* ' Nam L>itw^o prototypa in^imutinim 
ciudidbnttpentagqno abcj>£. II. HoiuspeowgomfiDgo-JSi^ 
4 yj tf A»t bMam> &ahang^lisad punaadivi*^i,i^ , 
^ ^ ^ Q ' fionom 



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tti fv^l Libcf Ul 

iTJks^fU^Ae F vek»ccciittopmt^ooiAcoiiftkutiii^qiiiB<(^ 

T. gab, A FB, • F c, CFO, E, ■ r A, corra^>on<leoae>qiiioque&. 
i»hm mrainitdis. H I. QineUbet ftniKlijMoeter,Qein|>t wa, 
r»,Aeoliridi dltbec io otM^tbet arattalcs pirtc»,&peff ptmdo 
cen«^>6odtmM daocodc reft«»ixnaBtinttha penu^ 
liera ficminM», <ctoi0n>peBt8gontmi dividacoriD malta^. 
tiola^tofiigorapiiie& 4V« Coi^tueodumeft,.oe9inpi» 

Yy^^ cedenti6gtiia,criangiltimcracicuIarHm o-se, c«iosba6» t>E 
koii^! fit«(^ialt&ieoiidicUBCtre pvrafnidisdau^ bk> atqmliB aktedie» 
eittsdem pyramidisr s a iateribns ewsdea k bafi ad vcrckxny 

^ aflurgeiNiDt». XMvidendum deinde laoH e « »n poiiAif Lr 

X,KrnventisexptmAooculi ^ & diinfie^caaatrferenda inlif^ 
tefit pyramtdis,r^iqnaqiseean«a pneaaDda,ncaiites«ftdifttnn. 

Hand aliisatiooe epemndufficft,qoandcit imamts daca eft 
be»ie0m,hept^Ba,<c qBeccBoqoe dcmnm tademm, dnni. 
mede regttlafis nUM>ceft>,(ltt«UBed6iba&eiBs fii«9iilaMra>iBc 
ar^nangola» 

PRAGMATIA IV/ 

»9tf* ClcttC miagines difll^ncttr in excei!ien&tts lets cemreiiir pjo^ 
'^midum planiSrica e^m diffipari poffunc in incerioribasien 
^£^M«ccencav«lsymioccttflot»B eae ftierincfacierami Medosopeniodi 
, nen efttnoKten abumilii modo in pnBccdcntibus pre ceBTois 
pytami^bns cradiioi modus camen in/piciendi acrefbrmflndt 
7 imaginemdlrdimibs. Namibrde/prcicurpynimis,ocolbfi^ 

•ra aaEcm ac vercicem elevacot Mc in^icicttr pyramis ef erft,oc» 
lofiipra bafiffl pyramidis elcTace^BCi dicecdr. 

SitigiCBf d e <ecw>ada imago iatra> pyrMBidiBm cencaioflf 

yedra» 



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MagiaAnamorp&otlca L 

temdcaBqobneaU. Sicfirocede. 

L lnclade kiupman prococypaM qoadraco ABtv, 6c vide 1». 
iadifdiagomlibia ao,b^, 6c diamecris ep,gii» dividediawv.iic^ 
goiudes in qttodibecparcescquales , dudisqae reAis divide qua- wCt. 
3racn<n in alta nuaora,&ia pluracrapezia»(eui|>acioIa,uc aocea 
£aAo«B ftttCi eruacqueconwciica quacnor criaogula craticuiaca» 
A occo D,D oB«so A, re^pondeocia ^oittuot lacerioribtts py. 
faraidisconcaTcfiiniMN». 

il. inplanoaiiqoodacredaRi ik «qnaleai uni laceti 
bafis pjfTamidis dacie , eamqne dinde ia cocaBqualesparc«s,io Kg! 
qaocdlriraeftunadiameterquadraci ab c o prococypoclrcum.* '^'c»> 
icnpd. Deindeperpuodum medium l duc redam c^li.'^^* 
flMletermio^magnicudtnisj& ex l in q cranSfer alcicifdi. 
Bcm pjrramidis daca; ; ex l Ter6io a. cransler alcicodiiiem 
octtliin^eduri imaginemiocrapvramidis concataa&ciesdiffi. 
paum. Poftremdlpundooculari &• perpuoda «i,N,o, re> 
Ax ik. ducredas Rv,aT,asi &notaiaracere Qr puoda 
terminactva V,t,s, Abbispuo^sad lacnsoppoiicum Qt duq 
redas sx,TT,vt» parallelas redlae ik} & habebis criaogu. 
Jom iCQ opcicdcractcula€umeotnodo,quonacutalicercrati. 
MfatoiB eft unumiquatuot triaoguliiquadrad abco cnu 
dcnlati. 

UI. Oivifioneslateris qk traasfertoomnlalateialncer. 
aamm qoSacuor facierum pyramidis cavae , 9c per puoda diyifio. 
auacorrefpondencia ducreftas lineas leruncque omnes inter. 
aaEpncdids facies oaticolacc ac cracicalacum eftcriangulum 

iKQ:, 

' IV. lo quacuorintemas pjrramidls faciescransferqoid. 
qmd concinetur in quacuor trianguliscrariculati quadrari,quod. 
Jibettn fibi correfpondenciarpat^ola > ficericimagolncrapyrami' 
diettrdiffipata acdlNbrmata. 

V. llt iraago fic deformata,appareacreA>rmaca,inverce 
_ ,j " iita,ucvercex q infiftatplaooborizontali, 

Q » aut 



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te4 .1 Tit^rtUhrAfL^^U 

'aMtntMllt:-pdk$d& ooMnvi ftattie'fif|>ci.'baiiritfgrcMhid» 
apercie,itautad perpendiculumimnuneaf vertfct^Q,.:ab eoqtie 
ttatumdiftocvquanpimt 11. poodunro«|{lant^ifcftltiab dDdem 
piMdo. <2 }. 8capparabi&iniago^laii^(aoc|t»p«Q«ort7pd.fiiii^ 

U i inclndidebet imagofrotetypii craticull^it^fj^it/^tilar^fejfta^MOfJ^^^ 
]f^tfftfiaAkc^'f*tiMt!i» pmfcdm^.fragff^^ d^ifiMU ^dfifndefrM.^ 
fjfiffdimaif.ii»tdM^fi!i»^t&f>ntcedm^ 

^•- -'•^^; . / A N/NO.T"A 'ri'q;::H.. \'^^ *^'^f 
QrfyrmJs corUAVifJtehet ejfe^lie^tili^yfj^oju^n^m^ 
Y.iftfrAgntaUxl^^qmtciinf^eeA^^^^^ .:.:.:'(' r- - 

• • ' • * • ' ' - '. 

gifttiA'^aniidilHtf.cowv9jiti.f^.'t»it-^ ' 
... 'ca-vis:. ' •••! «^ - .7»- ^«-^ 

^Horumi v^xi>,qu^m coDcavis pyramidibus^ fic proccduntl. \pf^ 
duQt imaglopm; pij^^typam quadtafp;,, frifM^^Jfloi^ffeqtQgpn^ 



duimMgi. aliav^%Mpa'jiprQ-va4ji^ bafisjf^yrMp^i^ 

U qfjgnosfeqmus. Aiqu^i^lipcbci^rfj^gccfe 

cuntiil plkDOFcdam: abc, &aflumptopunclo b crigunt&e^ 
\ pcndicujkurcm; B^/a^quakm^utudmipjy;gm^^ 
Vidc Fjg, (gjp^ntr.ciaan^t b c libitjae jofl^ijuidi pf9f^ff^i^^lpftb^i^ii|fi^ 
i;lcon.vi. ^jyjy,^^^^ ^t4nquampeotroi(^nm iri' "Arcuffli» 

B E dividunt in tota^quafcs partes/iQ quotdivjfa cft/cmjdiainW 
r quadrati,truog^^:^QtagoQi,&c. prototypo c]rcflpofcript}|. 
in qu^tVor>.uMf£r]2ra^cpd.cxc t?cr cUyiiioftc^uiuai 



aixus» 



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Mtgt»Anaraorpbotica.Pars r ^i:^ 

areus be, dbcuiiccx c, rccVas CG,cH,ci,CKr fecantqucli- 
ncam b g in puncliy H, j,k Arque hsec cfic;unt cffcpun^ka,. 
a^jbu^oportcat duccrc rcftasparaircJas bafiinonfrnibuspyra- 
mHdisdaciEpfanbfcuficicb^s. Ccricrocrgo b, inccrvallo bg,- 
&rmancarctinrr ga> inrecrmqbo* trans&rcinc^i g indpicndo, 
ma,quatuor,quinquc,SccJacera ba(i5pyrarhichsdaca:,ncmpe in 
juemplo prxfcnci.Jaicra gl,lm, mn,na5 &pepinvcnirapxius 
pun£Va trxi,K,; diicum iisparallclas Ro,op,f Q,Q^,is,ST,&c 
JHis praetJjcisjCKiAini^^t omnia pyran)i(Jis dacae ptan j^fle opcice 
-cr^icul^vcf^^o n|odQ,quoimagb procotypacracicubcaed ; ideor 
^e in fp^ciola corrc/pondencia crap&feruntq|p^d|^uidinrpacio- 
Jis prototypicqntinctur.- < ' 

. , At toncmciho^um mipjipc J^^^ fic brcviflimS: 

jSc pm^ulariccr qflcnao;/ Prirp^j^^ clcvacus dlre- 

l^(upra apicem &ax€m p)^ramidis,,& irhmmcreadpcrpcndi- 
culum ipffcencro baCspyramidis,uci pacctcx tTicorianoffrarum^ 
(^ragrnatiarumiindicatafupr^ Pragmacia I.buiuscap.Annbc. I li 
bicaatemclcvacuscft bculus c pcrpendicularicerfbprarcdam) ^ ' 
BQ^, guas^eilkcusuniusfacicicriangularis fuprapyramidisbafitl . ^ 
ja^ir^ Etlicetidcnroculus c immineatdircdl^&ad pcrpcn*- 
diculuii) aprci b, camennoarmmmetearacione«(xipyramidis>. ' ' * 
neccemrobafis.. Secundov inomnibuscxemplls fupr^ ^ nobii> 
j)o/ms>quia {cmidiamcccr figura: cfaciculacas prototypo circum-^ 
Do^f^eftdiviAi in pa{:t6sae;q;jaIeS)it;»cnamintrian^liscraticu** 
&0^opcice reprsc/encancibus unam facierri pyramidis,ycrgotiiTsYye Fig^ 
^^^eroautfcmifedFionen^pjrami^ispcra^ ik, vcl|i^g^viirZ 

l^^jwSb^Cis L K,. divtfa cH: in parccs a^qualesscorre/pondehtes par^ Iconi£ v«. 
tilbiis firmidiamctri^gpras craticulat^ prototypo circumpofitac; 
^xpun<ftis divifionum acTpundumocuIarercdxlincasduda:). 
liiVicuimlatustrianguliinpgndalcgitimaita^ 
fioocufarircdicirnca^ducabturad j^i(^iara bafim, eaViciffim in^ 
arquarespartes (lividacur : hpc ducem non fic in prasrcncimecbo- 
<fo,utcoDfideranci paccc,acproindeIcg[cimananeft; Acquehasc: 
ioaica/Iefufficiat;. 

Q3i H^R/fi- 



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i2tf Partii l Liber la 

PRAGM ATIA VI. 

l^eformare imagines infyramidilfw convexie (f 

eoneavif qmtcmnqHepuienm^ qudnd^ kdfis 
irr€fuUrif<B. 

HAfteousdocaimOf , quarationedefbrmaiidacftioc imagiQes 
in pyramidibus.tam coQ vexis,quim concay is»quarum bafei 
regulares iuQC^hoceft^ut f«p^ jam explicavl»quaQdo onuiia baiis 
lacerafuQca^ualiatacomQesaQguliacquales. Oiceodumouoc 
quomodoprocedeodum» quaoaoirregularerfuQcbafeSf adeo- 
quelacera iQa^qualia iocer le : cuQceoimeciampyramidjspboa 
feu fiicies (uQciQcqualesquoadlacicudinem&capacicacemi li- 
cecxquaiesfiQcquoadalritudiifemi acproiodeplus pingi dc^^ 
exeademimagiQeprotor|rpaiQUoafade# qdimaltera. Qoi^ 
ergofadeodum} 

Bre? is ac uQlrerfalis reeula iiax efto. Videatur qiialem pro* 

^ ^ pordoQemhabeaoc iQCerfeTacerabaOspropoficit pyramidis, & 

circaimagio£prococypamdefcribacurtiguracocliiteriim,quo^ 
iacerahabetbafis,&}acerafigura: defcript^eaodemhabeaQt ia- 
ter fe proportioQeffl, quam&beociQCerf e lacera pyramidis. 
Si bafiseft quadrilacera » & duooppoficalateraconcinencodo 
parces arquatlesa qualium reliquaduooppofita latera contioeot 
ilecemi dekribe drca imarioem prototypam figuram quadrHa- ' 
teram # cuiusduominoralatera habeaot partes oAo^ aualium 
majora iubeot itecem. Du Ais deiode diametris atft lemicUa- 
mecrls, ficubiapusfiiericdiagooatibus^divjde mmoresdiame- 
tros iototaKiualesparces, io quoc «oualesdi vifit func majores. 
His iadic , procede in casceris omniDus eodemprorros modoi 
quoinprarcedendbusprocedendumprarcepimus. Nec 
figuram,necplura verbaaddo,uc parcamcem* 
pori 6c /umpcibiis in re non adeo 
magnimomencit 



PRA- 



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Ma^Anamorphotica. Part f. 127 
PRAG M ATI A VII. 

♦ ' 

t^^echantce Jefbrmdre /magines in fyranH-^ 

I Ifileni mo&i > qoibiii mecha oici deformari po(eft imago te mHhmua 
^pbDfsre^s» uctdocuimusiucapttepraccedence» pocefteuam^7*^'f 
deformahinpyratnidibus, tamconvexis^qu^concavic» hbcj?|^^^^ 
cft^caminexterioribusyqu^mititerioribus^uperiiciebus. Etlicet^M./ffib* 
qoifabct^qQtdida prscccdcnti capiteted^percepit^ facil^ difpi- j*^* 
cere qoeat > qua id excoueodum ratione ; bre viter tamen id hac*^^ 
oaicapragroattaindicabo^primoperlumcn & umbram>detnde 
pcrfilum. 

L £xlciodatur> acperfbreturimago prototypa > eomodb ^ 
quo docuirous loc at. & intrit Inftnimeotum mei^pticum ac- 
•ooiroodetun 

f I. Sidehneaodaeftfni^oinpytt^ideconvexat ftatue 
kifin^ pyramtdem & loftrumen tum meTopticum e£ ratione,qua 
uQmvck vtdes in Fig. ri. oempe ot pnn^om oculare g dgilli g Vufe Fi^ 
CcpiioAum A mediuminuginis exfciftasacperforatx>'& axisii.Icon£ 
Ai p|;ramidis,(inttoeademre&afinea bag. ^ , 

lll. Si ver6'delmeaodaefttn>agotnpyramideconcava» 
ftataepynimidem& Inftrumentumprout in Fig.iii. faftum vi-yj^ 
des^Dempeutpun^umoculare g, puodum mediumimagnis,^^ y^ ^.^^ 
A, Scaxi^ BC pjrransictis>fiottneademr«ftaitoea gabc. 

_f y. Appticalunfen^oteforaroeoocutare g> itautradla- 
repolficper diiSttm fbrai^eo / & peromoiafbramtoa miagioif 
eddflbt^ & finriul per eiofdem imaginisextremitates)^ 
ficie pjrramidisieo convexa/eu concava>nota extremitatei um- 
bnifrrole Aar> & finuil punda lucida. Pin|e deinde iuxta ombrar , 
&: poodortiffl tucidoriim exigientiam > & faabebis imagtnem <h£ 
.^pdtan. 

K SiperfilumoperariveliStdtfpooeomQhimodotAmd^ 
4Uvftal2ij^tofibadpundumociilarf g> tcadociUodperon»* 



r - 



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iii * i>artis T. iibcr Vl ' * 



mafaramioa imaginis^ddb, &etidmperertisextremitatesi 
^cqueexteode» doner^^yramiclcm coQnnga^t Sieniinp^ 
contadus-notav^ris, & iuxta ea piduramic^rmaverl^, aiw^ 
, jitanteaimagiaem^^iflipratam. . . .4 . ^ 

C A P U T IV. 

De imaginHmdilffpmiomf^^ corm cdn- , . 

;/^IIi|>rascedentes pr^m^iasdeimaginum di/npatibnibui tt 
^^^yramidihus^tam coavexis,quim concavis>probe tnt^llex^ 
xit, nuilonegqtiojnteliijget fequentesdeearandem.inia^gioiira 
^eformationibusin conis;tam cpnvexiiyaaim conca^fs \ etl ^ 
nim moduspraeftandi hoc non multum alHintiiTis mb(!6'pr^t?ftan« 
4\ i£kud , ideoque ifte liuic facem pr^bet , uti ex (equencibusjra* 
tcbit ? 

PRAGM ATI A J. : 

^ingere tn cono convexo imdginem y qm vifa ekcer- 
tofunSioaffareai. flana^ t£ fromyfo 
Jirmks. 

D /ff ir^lf^ imagincm propqfitarn , qu?m in con o vi;j depifj^c 
iwSZm ifarma. circuliim., qui omncs infiaginis paf^s mtra lc^io- 
tncom ckidac» Veliimavis,jntracirculumin piapoaliquodclcripcufn 
C9nwx9^ pi0geinuffilocraquaminconovisdi/fiparc., 
VidcFig. 1,1, jCiraimferpnciamcifculi djvide inquatuar.odQ,]^;' 
IV. IconiCdeoioaiapt^jaotquot VQluctisa:quaIcs par^:es; & pcr puQ<aM!^.i 
V fioquij|J|us4iancictros, pmut tn appofita fi^qra appftreuSmUft, 
diamecri Ib, c d, inccrTccant lc(e in o ccntrb, V<llviclu« 
circull clrcuniferentiam in quacuor xqualcs parccs. . 

MX. Unam(cmidiamccrorum,ucliic ao, dividcin qoa- 
tttQTi aut quotlibct asqualcs parlcs > & ex o * cec tro pair divi/io.* 

oum 



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MagiaiSrnamorphotica. Part 

fitt^<liic ctf cobs cobcentricosi^Qt^tQIMiitM 
nmCafo&MtitdiyiAtnt i0ffexdeciin panes. Si ckuMOCQrakc 

£pliiresxiticaoturrio pluresericdivifa. Qo^ftircomphwesiaytt 

pfliitssdrcoli di vifi ><e6fadlio 

IV« lofplaOQ^Uquofeparacoducredam xr> «qualenyiae?»^ 
diMmbaibcofii, io quodiili^ 

iKvaMlculau ; & pcrtnediomieiuspuDdum g ducredamv:i. 
Ge iodcfinitx looeicudinis^ InBac linea g h accipealcicudb 
BMC^ Gi> &amcudiQcmocuii iH» & ducrcd:as 
f^fpaDcfedioaem coni per vcrcicem 8c ceocrum. Semidia^^ 
qMlpid^ade g £ divide iq tocparccs2quales»in^uocdiialj^ 
mecer A05 6c per pun^a div^onum k^l^m» ^uc 
tsjadpundumoculi h; qux rccabunt lineam i £ UX 
p,R. Hxcpunifla NpPyRa ierviunt^otmconoinve^ 
fliaotorpun^a > pcr-quasductdcbentcirculi iniupcrficie codh 
panlletibaii > quicirculi reprastententcircHJlosminoresconcea^ 
wco$iu prototypofadostOt mox dlcetiir«, * 

V. StcoouseftfolidusiaucFadusexcfaarMpraiTajam pli* 
catt)$¥ideba(impercircaitumintotpaTt»a^qaal^^^ 
Tiiii^drcuhii^p^iaprototypi^ ut bicinquatuor. Oeindeex 
)HniAisdivi(ionumufq;ad conivcrticemduclincasredas. Re» 
prvfe&tabun t^bas lineac icmidiametros in prototypo fadas. In 
oiiHttftiusire^Skt^liaeasjn coooHfadas traQ$fer ex Imea n i triano 
gttiiaidiofidivifiones iR,iLP>PNr&perpuodafnventaduccir-' 
cgkibaficonipajrallelos ; eritqueconuscraticulatus-» & in tot 
pMQidiyifus, ^ quotdi vifa e^imago prototypaccaticulata. 

^conosii^disbeat materia|>Ucatilijtit ex chartacraffa» Vide Tig. 
MtfeiganKno^autkmina aliquaplicatilia^tc babeatur iolum ie- v i. Ico- 
dii 1 1 F} OC inveniatur portio circuli tali fcdioni debita > fic 
ytoftdc Intervallo u canquamfadioieufemidiametirode-» 
fcrftjedrcidumi &. circumfereptiameius dividein duodecim 
qoalespart^Sji^accipeilUrumquatuor 4& ui^ <]u« 

R ' eftter^ 



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ijo ' N VutUl LibcrllL 

cflrcertfa pars cocius cjrculf dtviii/ MmH arcum di?idtni 
tpcpartefiaequales, quot diametros kabetcircukis procotypuiy 
nempe faSc iil 4, k Mf im k,n o, o l; & ducatur k piiodis MiN.o,» 
ad cemtwniytcAx lme^>& habebuntur omoes Ikieap qu^rcprf- 
Jemeat femidiametros in prototy po<io&as, Traus verialts arcoi 
siL)TQ, vp^reprsfeQtantes circulos\:oDcentricos promypi^baf 
. bebis>iilnredam ki transferasdivinotaeslaterts 1 £r 8c perpuo^ 
£kz r^^icx ceatrai , ducas arcus. His ^dis^erit p€>rtio hxc 
culi cratKuIata , & in (ot partes diviia, m quot divikim eft prato* 
typum ABCB^. 

VI. Intraf|Kitfciconl(fccraricQrari,autportfonis kilcH- 
d^rationedivifse^ tramfcr quidquid eflf iiffpaciolisprototypi 
correfpondentibus, fervato ordine qtlenrrnumeritndicant; crit' 
^ue imago in cono dtffipkta , ac planc deformis qux tamen for- 
mo&apparebttiSc prototypo flmilis , ac frin plano depidaforc^ 
bcuars ponatur dired^ Aipra verticem cotri ad diftantiami 

FRAGM4TIA h 

Tfe^r m com eoncan^ maginem , 6^m nm 
mm^pum ^ oppanM pcrpSla nifi cx p»n8o aU^ 

Vidc Fig. f.pRototypumJncludjmircit€.ulb>acdividk^ 
vn. kon^. * aoparetinoppoficafigupa abcdp. 
vi^ \\. In plano aHquo ducaturreda rH, tn eaquelhmatsr 

Vidc Fig, portia 1 g asqualisakitudioi co^^ati,aut^turj *, & porcio <^ 
^'J^ ^^proaltitudioeoculi. Perpun^m ducaturperpendictiaris 
^^^^^ £ asqualis diamet#o bafis conK H«: llnea Zf dividatar ift 
cot arquales partes> in quot divifii eft diameter a b piDtotypfe 
Tel^eiusdimidium B6 intotriB quotfemidtamerer ao^ sem* 
pehic in quatuor, a Ki k l m> M g. Ducantur tt&^' £ 1» p h itcm 
Tt€i» NK, His 9N> perpun^K» i*iM,qiia:fec«iit lijaeaffi t b> io^ 



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MagiaAnainorj^libtica. Pan L . jjl 
f I L Fadatn plaDoaliquo pomqoe drcult K i u ut aotea yj 
(oam inceriorem coni excavati fuperfictem diyidere , & in eayKl|:oDiC 
pti^ere, difficile» acfer^ ImpoflibUe eft)& di visa per quatuocfe- yi« 
midfamecros > uc in pra^ccdenci f]gura»cransferacur iupra lineam 
IK, vel tL, fMm^a f><:^&9 correfpondencfapun^is R,PaN>Ia* 
tetis i£ radioficriangutf i fcpereapunftadefcribancurexcen- 
tro I arcuscoocencncf jericqueconifucuriiqperficie^coflca- . 
Ta dfVf(a in co€|>arce$ , in quoc divjfljs eft circulus prococypus 

AMCV. 

IV. Indivifaficporcione kil pingacur imagoexproco^ 
cypo uc ancea->plicecur charu.auc lamina,uc in couuro formecur, 
piduramexhibensinccriiisi ponacuroculusaddiftanciam gu& 
in/piciacur conus concavus pcr foramen parvum corrcipondens 
punAo Hi &apparebicima2oiDCraconumdepi4afimilispro- 
tDcypo>acfidepidaefIccinpIanocxcenfo. . . 

ANNOTATIONES PRO 
utraquc Pragmatia. 

GOmhd^tnmdepiBipoJfunt inJ^icidiverfimoJ^y nmfiexUcoJih imug$m 
, feriari^infefiori .Uteralidireaeanteoculum. Sempera^penioci^^^ll^' 
biSAfex coni,&centrum bafis^deb^ntejfeineader^rtffalineai DtbH^^J^^^_ 
fratereatota fiEluraeJfeferfe£ie illuminata^ Sinonadfitforamm fer iiemUk 
qmad iftf^ictatuf conm concavns ex determinata diflantia , injficiatur ~ ^ 
jiTfaOicemdrindicemdigitumflicatosincirculum. 

. PR A.GM ATI A 111- ^ 

Q^eehamce Jepingere imagmem in conu con^ 
njtxii c^nc4PV^^ 

pHaxisdepingcodi mechanlci imaginemioconisconVexis& 
concavis cadcm prorfus cft cum praxi dcpingcndi in pyrami- 
dibusconvcxis8cconcavis,dequaCapicepra:cedenc.Pragniat 

VII. . 

R 2 CAP. 



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ep: . Vtottt I. Libcr Iir.: ' ' 

C A P VT V. 

jmtgrrMftk.. j ^ 

X'di^isliaAenu5patet> quarationedifnpan ac de^^ 
*^maginespoffintinaIfis.quibuscunque planis continnatis, m; 
cyjindricis ,ipiiaericis> anguIaTibus,afperis> mm 
dtmumratione.tfiflrbrmatfs. Lic^nimdifiicil6,&forta(reetiam 
f mpoffibile fi|t>geometrice id efficcre:facillim^ tamen id Heri po- 
tcdmecbanic^perlumen &umbram/perfil€im^ autradiutn 
pticumadplaoadireAam^modoinprascedentibusdrdOipratf 
ll^ram capitei.QuarcnibiI ampliushic addendum putavi:. 

Hxic tamen incelligendafunt, quandoplanafuntcontintia. 
ta>aut:nonadtnodumangulof^, 6ca/pera. Atquanddplanafunt. 
difcontinuatayjiut^dmodumangulofailacunolaiafpef^r&irre- 
^ularia ,,cuiufmodi fbnt muItXLCoIumna: vario ordtnedirpofitz: 
iapalktiorumatriisvautPHncipumanUsipariete&inasquaH^ ftf- 
«e(tov)> portis> eoltimnis , ftatuis , aliisqucornameotis difttniSri» 
iinaHis dcarcapiu^requiriturardfid 

P R A> G M: A T I A. I.. 
TinaginesAn flankinterrupisitapng^^^ 

. fy^,cmolocofQrnnifdi^^ . y 

WjljMrf ^T^ Sto atrium autporcicus > multis coliiiqrmis HincfndediffKxfitis; 
Ti^I^in* ^cfcrta^ v«l aulaaliqua ingeqs^multis fci^ns>portiSiCoIttm- 
Hni[n,. «iisparjeti a^iHasreQttbus , Omilibusque parietetBi 
^nreiddbnti^tsat^iicarpekntibus referta > (Itqtje in planishu- 
iuinrodidircoiitinuisacintcrcififrpingcndaacdifnpand^ 

lyig^acwiliii payoiAutalia.quae.viss^ 



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mott^apptrcat mnendiUi ac prototypo^ /iroilis;,. rtctdemv 
wdi^idoDillo vefifos qaamcunque partem > appareat hiulca ac 
A%itayDcci>ifiiDfbnnia referatlioeameota^ Fietliocope In- 
&QOieooffiefopticilupra.Ca^a. Pragfii;Liielbripii> idque tripli* 

PHmo fic^ In velo tranfparente^quod Inftrumenti fene/lra? Yidc Fig;. 
t)bdttee»».ptpg^imaginem ilianr^quam inpropofiti^planisdifMn. Ico« 
«oMniidill^aredefidefas. Oeiodecollocainftrumentumeqfu^iv. 
idbfl^inQuofblamapparei^visinug^ diifipatam > colloca^ 
in|ttiaveKiirede> veiobliqu^oppoijtumplailisintercifisipro- ^ 
nrw jp tii i^tdiredoaurobliquoiituapparearimago diffipata; 
ittSMiiii^fiequali altitudine cum oculo ftantis^velin maJon>aue / , 
nMiiii prout in alto, aut deprefrolocoviseandemapparere* 
TiHbiii^rma loftrumentumjUtJocodinioveri non poffit >& e« 
iewrtlibitum tuum^iimiliterque fi'rina'.ti^um f g s & appli- 
oiMcald ad^fi)iameQ4>Galare Ct dirigejradium opticum ad 
ndpualincanieQta acpun^aioiaginis invelo tranfparentc 
^^iftXiacooeadiligenterlocaaGpundainolanisd^ 
^•itlanasterminaturradius.virualis: fecundiirnha^cenimlbcai 
WkwafideptnxQris ^qua: inimagine Ihdrumenticorrefpor 
viQMM^Vpid^ in Variis ficomoioo intercifisplanis varic ' 
Mj^tom!» <}tia&noo nifi exiliolbcoapparebitredaac formofa»* 
lQf»lbftruriienriimmek>pticum&itfiirmatum>ac prarcipu^in . 
f!HAocorrefpooderui fbraminloculari g: Quareeoinlocofi- 
{Aimuiliqtiodlhitui poti^vd ereiSium inpavimento,veI fu^en- 
tem^fbrQt<ie,quolocusilaaomsdefignetur. Verumcameneft^» . 
fectttiiquoimagbdifi[iparaappareatcolleda»Qon confifliere Iw 
iodMfibtityacproindenon infolopundboculiiriforamini o ce-- 
I ^lfteateapparebit', fed in aliis etiam circumflai^tibus pundis^' 

£eaiod6fic. Feneilra^mefopticasobducf^fierem^aliudv&VideF^;. 
BftMmopacum ,in eoque depidiim imagi^Q^rarexfbindeiecuQUii.Ia)^ 
<ifaA|>nedpuaeius lineamenta^acextremitates; Deindfclbcam^v»- 
^|)BDdi%iandac(limago> ofc^cura penitusy&feoeftram mefb^- 
flttcuiitaMfefil^^ 

3j cum*- 



I 

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cumdaverfuspartes E€G, ut arcain referatapercafn ?erfo$di- 
&ZS partes e pg« TaDdem colloca loftrumeotuffl in loco, ei 
quo apparere debet imago diflipata , & ftatue lum^o to loco g 
imihotum. Hxc enim per parie$ excifas imagiou radiaosd^ 
iignabit lucefui in fpatiodeiineationi ac diflipationi depaato 
casdam partes imagmis excifas, Unde fi (ecundum iilas pin. 
xeris, & defignaus partes apte coloribus coojunxeris*>^babebis 
^ imaginem ut antea varie difperfam in variis pianis , qu^e tameo 
coUeda apparebit, fi.eo ex locoarpiciatur,io quo lunjeo fuitcoL 
locatum. 

Vidc Fig. Terti6 (ic. Pingc in charta craffa figuram feu Imagineni 
iii.Iconif di/Iipandam^eamque ita exfcinde ac circumfcinde > utmaneaot 
ty* fol^m partes pi£lar,reliqua: vero omnes Hnt abfciflx. Sufiicitau- 
tem ruditer folum 6e crafTis coloribus,autcarbonibusimaginefD 
, pingere,aut folum delineare. Oemde fceletum hoc, feu imagi- 
nem ita exfciflam,afiige vel diaphalno Inftru menti , auc exempto 
veloaccommoda eam ihtra feneftram Inftrumenti. Demuro 
. coiloca,acfirma Inftrumentum in loco tmaginisdifnpatxcoile- 
Aionideputato,&apponelumenin g. Hocenimfado,umbr2 
fceleti excifi detcrminabit in obicdis,& quantum vis interrupcis 
. planis atque corporibus , locum in duo pingi debeanc ex parte^ 
imaginis,quas umbramefficiunt. Hhec igitur ubifecerfs,babe^ 
bistmaginem in diAisobjediscorporibus vari^interciram^iioQ 
" fecusac umbra ip(aantea,in itsdem intercifaerati quas cameo 
exloco G, ubilumenfueratpofitum,colIedaacrcrormacaap* 
parebit,exa!iis vcrolocfs varie difpcrfaatqucdeformis. • 
Vide R^. Quart6 fic. Exfcinde Imagtnem vcl cn plano opaco Feneflr» 
iiuTcomnmefoptica; iociufo,utdidum fuit in fecundomodo; velinv^e/o 
IV* diaphano,proutdi^um intertiomodo, Ocindeflatiiclaftra* 
roentuminlocoeiedo,&alIiga filumlongumpundo g ngilli i 
FG^illudqucextendere^^ ita, ut radat extrema 6c exicifJaiiDea* 
mentaimaginis,&pertingatadplaoafeu corpora pppofiu. in ^ 
omnibus locis contadus ddinea carbone, rubricS,autcrec^ii- 
neamentaeademqua: fihim ioitnagioe exfciflaconciiigiti&fe* 

CUD- ' 

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MagiaAnamorpfaotfca^ Pars f. »3f 
coDdufif dehneationem £i Aam pioge } & habebis quod dei^de^ 

COROLLARIUML 

X bis patec r.nullum effe tam irregularem lociitn'; nulfum 
*-'tam inxqua(ltbus,a/peris,difcontinuis fuperficiebusdiflipa- 
tum/in quo imago qnaslibet Inftrumenti meioptici opc deping^ 
• Qon poffit,quasfub certo jfoInmIocoappareatc611eda>formota> 
ac prototypo fimilis , fxxh aliis yer6 locis quidris aKdd exhibeat. 

COROLL ARIUM 11. 

DAtet I I.qua rati^ein anguFo in tra duos parietes alicurus coof- TrM^sirMf* 
* cbTis>autambuIacrf>pingi pofiittrabs tranfverfajquasccerto^*^ 
ac^ctermioato loca infpe£la appareat> ac fi utrique parieti eflet ^^^J^^' 
iDferta^Sc aflfiiiloquem parieres efficiunt^obteDfajeumque nulla^w«ii/#fr 
nwMc ccnBolgerer/edpracuIab eo remota foret , iolis parieti- Vf^'^^ 
bnsiKrfmque mfixa. Vidi cgo fxph Romas,8c alibihujmmodi^'*^^ 
piftoraa^ mira aoimi & oculorum roluptate. 



ANNOTATIO. 



1^1 



^ fsJb§€hAhent%nterreliquA mir$imd€ jkcundumj vt dum ilococoUe- m^imism 
ffiomif Mc reformAtionis recedis verfus quAmcunque PartemymMxime^J^g^ 
tmnemdifefte MUtrorfum sufreifofpm', dirumpi MeaiUcefMri videAn- ^^uhMim- 
tm^fmilaiimquefroffusdi^mMty &in chadsabsant^fique coUinm£Mntff$u^ 
wimmita$forticmruere\dHmveroMccedi6eunde 
fmmtftmrfamlaiimydonicinferfeQdmfguramformentur. 

PRAGMATIA' IL 

B flamf qttihufctmquey etiam interru^tis ^ piBu^ 
.4 ram itadijffarf^^t nuix aB octdo notari foffty 

nifiexcertoloco. 
[Adcnusimaginesprototypasinftataac fitufuo oaturali de- 
cimiisin ptaoa}i taque diflipa¥imus,ut|}op oifi ez 

certo 



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rs^6 iPartai ILtb/XIl 

' ^cen^ loco inipt£tx zppztcznt jpt(Xtotj^ iNooc 
easdem imagines in eademplana j^rojicicnras, icalfeici^^ 
diftradast aliisqifc6.puf):uris.incerpc)ii(ius difG^ 
apc^vixqueoc.ulis nocencurefleid quod func» ex arce camen opti- 
ck ica coiligancur in upum.ijc fpeciofum quid appareaoc^plaDcqv 
diverfum ab eo quod ancea apparebanc. Arcanioccaiioncm 
dedic P.tM^riusBetnnus Apiar.5. Progymn^.cap.j. 

[ 1. Accijpechartamcrailam^auctabulamaliquamtemfetnt 
eamque inCerefenenrarDoilra^ Mefoptica;. Inea charca aut 
bulapiogerudiceriHasiiguras;x}uasin planum projicere deOdc- 
ras. Omnesdetndefigu(a$exrcindeprorrusiubulaica,ucloco 
Vide Fig.cariimrelinquaiiJturibium foraminarrimul2,&fene(lr«,prQUt 
j. IcooiiZ 4n loflrumcittojii^optico infra poli to apparet. 
vii. I K Stacuejbaoc cabulam lnftr<imemain1ercafi|»(8cveraca- 

xliter eredamiaoteplanum» inquopingendx fi]nc4Me(jderaia:. 
Deindelumenexcratabulam ita collocato^ut traje&i per ubulx 
foraminaradii inlubjeclum planum projiciantur,{icu£vexliit' 
^o^fivibobJiquo^ projutoirairum xliredcautobliqu^ visappaxe- 
reres depi<9:as. Quitnt6 magis diAiterit auttabdia k plaoo^aut | 
T lumen Acabulajtantoiient ibplaaobaresluminofaspyramidaia 
radiofarum i n ter fe diftancioresjac magis magisquediifipaca?} ac 
dilatacac. 

1 1 L Bafium lumiooiarimyipattatcrmfais occu1tis<ircam* 
. laabti&L iniis fpatiis^femoco 16ftritmenco&liimine>pingcea» 
' qua:tn cabuladepidaeranc, non jam rudi^r^ fedaccuracc&ex 
arce. Eadeindeiquasimll^is bafibusJuminofisdefigoauacpl* 
da fuerinc, pocerunt concinuari variis parergis , & ea radone oc* 
culcariyUC excra decerminacum locum infpedaoci oculo quid* 
vis aliud repracfentecur>qUam quod^dido loco exhibendumeft. 

Sintexempligraciaincabuia ik, Toramina b>c>Di£»f.g, 
Hi &lumenin a collocacumprojiciacpereainplanumfubje* 
dumluminofasbafesinloca L|M,NfO,PiQ^,K. Pingeinbislu- 
' minofarum bafium fpaciis ea, queancea in cabulaei: ant deltoea- 
ta>nempe€orooaiti fpineam u trcsc^vp<;fQjiiCrucem Ni lan- 

ceam 



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lilagia jyiJ^proliotica. Pan I. 137 

«eaa tii ^§Kmgf9fQaruDdiDiamxafn Rt cdlumoam ^i^, fcpiiU 
<kam u. in (patiis deio^c ioteimediispiqge «ea parergaiquac 
Jo %oni :ride$,& ridentur eile quafi pxaccipuai referuntque 
tadittd^eufndofno. « 

1 V. Peradapiduri^ut ea tantum appareant,qu2 antea m 
jubokmntdelineatairepoDe loftrumentum mefopticumrum 
ttbda iirferta acpeiforata , -ut eundem pcoi^us J|}abeatiitum 
«qMMDieaihahebat » dum pyramides luminote pcrforaminaitt 
fiaai^oiiciebantnr,Sc coUoca oculum ibi ^UDlaDtef eratlu« 
Mi i» £xeo enimpundotibifped):antiperforaminatabul« 
vifenda tantumod^caiquacdcfignata atquedepi- 
dtMR^n areelis l,m,n,o,PiO,r i caeteraVcrdinterpofita £c 
i^^AHextra ^is arcc3as>4atcbun:(,necocu1ojturhasfacicnt^ie«. 
Ai^fH»iantumtpc(5tanci^aua;ln 

VjSj^iXi exemplo fpcdlabis inliorto tantunimodo prascipua 
|fl||m£hri(liin(lcumc j coro- 

im X, pcr :E trcsdavos .0, pcr d crucem n itx 
[orti,per jh irundincmcum fpengia R, pcr lia« 
per j columnam j>, pcr c Jcpiilchrum u. 

ANI&OTATIO I 

rjl^di^m^^^ &MYCAnormn tdttedU viJU ^ifojjh 

' ANNOTATIO IL 

•/ ANNOTATm 111. 
Ta§tnuH9 4^M^iai0im^h$m%^JUqu4inhikc?rMgmMm 

jjmfomnvifkrigulmbm^ 

S CAPUT 




,j8 PartisL Mb" llh 

C A PU T VL 

Tfe ma^mm dijfipamne m murU^ pa^&imentk 

longiJj[imis ^ ea arte ^ /vf extra determinor^ 
tum kmm ^ffefi^t altnd quidfiam 

17 Idi f*piffimc Rom«,aBisquc tpooffra Vr,in Montc Pincfojtir 
y.,'^lcbti coQvciHU Fratmm Minimorum , quos Paulinos to- 
caiSli aS^Fjanjcif^ Inftitutorc, cfiffipatamiiv 

ktngiffimo cuiufdam ambulacri muro itf j. parmorum,cffigiem 
S,FrancifcidcPaula/aaamado(2iffimodi<2ior<Iinis ViroE^ 
auclc MagBano,caart;CxUtcx folo dctcrminato tocoin ambura^ 
, cricxtrcmitatc conftituto apparcat, cxtra rcro illum lorum , & 
pjraefcrtjm cxadv.crlb infpcda reicrtarborum frondcs^homines,. 
' aQjinaIia,aIiaq)ie fimilia» Hujufmodi igiturpiduraB quaratio- 

a€fictidebea)U9.ibQccapitcapcricmus. , 

^ametrke praijcere in mnros longiffimasimaginef^ 

qt*4 ex filo determinafo Ideo videantur^ ex- - 
tM njero tUum Ibcum quidyii aliud 
referant. 

vifpm^ /^PbraremocTo^dldatoGapitcr.btiju^^P^ 
^^^^^^ eSLoipttzndx ratio,(ivc planum fit parvum> five magpooi; 
gUnkUmf SoX^m procufandtmi efhjpt Iocik fkttfonisiRiag^ncm diffipatamr 
iofpcdaniisfic qiiantum ficrr potcft rcmotus ab ipfa diffipata^ 
ifflagine,fiinyirum ha^cinuaaambuiaeri & murf cxtremitace>yie 
in alcerav Deldde parces imaginis^ ab ocuio c emoiiorc9< pingh 
diebcot vivaciohbus coloribusiqukn pPopiereMitapparea&unii^ 
fojcmius j(t coloribu&oculo h df ftinataloco piduram infpcdaD- 



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Magi%Anamorph6tica ParsL 

tii fic enjtn fiet ut rcmota , qux altoquin miniks clarft videhtur 
qu4mpropinqua»aequ^cIaraappareantacpropinqua; Aliamul- , 
a tn iianc rem vide apud Nictronem in Tharmatut^go Optico. 

Abrolutapiduraimagioisd'iflipatar,pingipoteruntin par- 
obui interjedisdc ci^cumje<^i$ variaealia^ res. fedmiouta?,6cdd- 
biliori colore,ut runtfyIva:,domus, homines, animalta> fluvii » Ia« 
cas,8cfimilia:(icedimfietutexadver(oinfpedapidurare^at . 
loDgc a1iud,quam infpeda ex afligna to loco. 

PR^GMATIA IL 
Q^ech^nice expreffam eolorihus in talfeQa efffgiem 
tnlongijpmts muris.pavimentis^forriicibtu^ ^ qui^ 
bii4cun(iue JuperfciebM^etiaminxijuaUbM^ilefirma^^ 
^t fToctdexa^gnatopunSlffinlatusa^e'- 
SiayOpticereformetur. 

PRim6 fieri id poteft Inftrumento MefopttcoiiieffigicsexcKa^^^f^ 
&; inftrumento ioclufa , ftatuatur in loco cooveniente , 
cledo pun^o oculari ailigetur ad td filum Iongum,& ad nuirum fUmmim- 
ufque remotiilimumextendatur, itantradatomQes.figttra^2^r#«>^ 
ctfac extremitates, 8c par tcs excifas, fiinulque (ccundum fili con. 
cadum in murofiatdefignatiopartiumcorrc/pondcntiumpra- 
totypo , Sc reliqua prarftentur ut paul6 antidtdum. Vldc ca* 
puti.bujus primiepartis. 

Sccund6 idem fieri poteft, & meliils (ecuriikfquejicet ope- 
rofius,Po Vtula Optlca Atberti Dureri Norimbcrgcnfis ,eximiiPi« 
dons & Optic],quiad delineandasoptic^resquascunqueexar- 
jfecxcogltavit 1 ft rumentum quoddam, quo & ipfc » & alii, cum 
V^j^itM^^ 4 forma & ofii appcUatiir 

^f^^^JPortulaoptica. Fabi:ica,&ufttslnftru« 

oicntl eftfequens. 



Sz 



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i4o>. . * PartU r. LiSer flf. 

^LDe FaBrk* ^^vff PdrtuUoftica:j^lkrtfi 

mnri 17 ^^tckT|!trattorcigiUisportuI^ 

jfortuU^ -^^Lateri c affigatur fencftcUSa lignca KLMJWr cui cBarta 
offics,. f^jgnjxidsL obduci pNoflic aecurateextctifa , qua?quc apcriri & claudr 
Vidc Fig. pro libitu quear circa cardllDcs fuo^ didalatcri c d infcrtos. 
rr.rconiilAnguIis portute & . c affigantup dqo filia. Utriqiuc latcri,. 
VII.. AB,&Lc Dy infij^nturintcrius fTcquencescla viculi^autuneinur 

fivquttHisfi&ei&anguli^^ a U c pendentiapoffintcircumvoitiii. 

prout apparet in £ f^. 6c baae&is rnfttumenrum pra^para- 

turoi. 

, SiJiocriiffruraenix^r^ni^cpiianinam^epd 
procede: ^ 

L Colloca In(Erumentum^ pcrpcndrcu&riterercclium fu- 
pa tabuliam alrquam' inr aliqua concIavi>itaque firma^uta fitttt 
madfanbyerr ooa pbffit:. 

IH Raaydeliiacbndiara pone ettam fupra tabulam> poff 
ymxiylaii^itfdift^otmmaioti autmi 
flocmyapparore vtsremdelmeaum;. 

r r I.. Tabulani remoyr ^ muro* concliavis* dbnec Infdv^ 
j w eimi i ir tantuitfdifteti^uro, quanca debctrefrediftantia P^^ 
^diy^a tebnncfbptlaain fimi^DUsoperationil)uSi 

I V. Muroinftg^clkyumcum annulo g,. in canta altttUifi^ 

0e/|imnbdiri^ctc(re^alOitMd<^ 
g^hmiroptfccr defincfttam inf|)icien ti&. 

V. Aimttlo G iaraiittefiliim>cum'pondcre* r unreztre- 
mintifiUltffixo^altcramyerd^cxcremiutemi^ H: extendev^i' 
renrdeliQcand^im fiipra ta|iuIiam.coIloGa!cana;ii|Ea^ut traofi^ 
Ibm iper Porculam>»pertam;. 

VL. Filbicaexosii&miigippuod^^^ 
dk;y:g:pun<9kim: H' pTopofi^crads^&filoinliocficu^nmico^ 
tcsexcendefilunrarcerumT c£! yerfteljitus.AB. Pbrttil«*»dbocc 
acdngiitfiltfm GHi iapua^> h yi;g(i filum<vcr6> excende' 

verfus^ 



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Magi» Anamorpliotica. Pars !• 

fer/usfatos cb poituta:;dbnecatdb|^tidimifyum^ 
deiirpundo' ficinterfecerfirum^ c £ inpaodo i.^ 

Vlf. AHigaikecdubiila' af^c e, undnuIiV£&Fr cx- 
crabe/nbm^ cm afHgefeneftfella^ KtM^N cbartam mundam> 
€laQifefenei}iellam>& ubi cbarra ^ngit pundum interfei^lonis 1 
£;i&uma duobus Hiisynora pund h in chartar& babebis 
wmfom UQumrei delineanda^jiqtatum incliarra fenellella;*' 
EMtaiiicione procedes Inralii^pundis nocandis,6c babebis rem^ 
tiStmsm opnc^>fipundano6ataaptc^con|ungas^,Sc colores* 
^UMDtaddas*. 

illJDePortuk I3ureri ^vfU m defirmattonc' 
imaginum.^ 

tSfym 0ffe prasdi^j rn(&um«0ti projicere visima^nem in pla*- 
'^aum quodtunque, & quantummmagpum^qualia funtpavi- 
]Beoc»temprorum>auclongprumconddviun^uriambuk^ 
mi^fiiilongum podudorum >licet tnwrrupta' iint fiuiu 
lilMi^mtDim^ a^qwalia^ fic prooedere potiesi Pinge figuram^ 
cMil^ffipare vis^^ii^cbarta fcnciktilm klmn ac&iuttriata'» 2c 
flMtfttft9rumentum.veUUp plantmi^ borizontale eftWel an- 
(nmi^fi^ft verticalir,in^ tu con venieati; Diriode clausafene^ 
/ieitfttendedtiofila, ab^ce, ita utpundkmi incerfe^ionis ly^j^p- 
M(«aar|moaoiUi,quod^in planumvisprojicerr^ ,1^ IcoS 

pmRim fenefteUa:. DemumaponfenefteUam^&exticQ^-^vi^. 
dbnnreff ita,urtangatrpt]n^)^m inieffe&ionis 1, fimulqtic* 
iift]iie ad planum i pundum contadus in plano erlt 
Itt Imagiinis quod^in plimovolcbasfcirc. Hac ratid^ 

^ 3 mr^odim^^laoo omnta* rdtq^a^ pund;^ imaginis jn^ 

pfiibr Sedboenrie)H^inteUtgetUfe»feq)ie»ti^^^ Atqufi 
inillecpdd^ mretiiodb anjMuu^ q ref^asfimMtlocum oculi 
j pB ^fi iAnv diffip vei^- gh. radios opti- 

m^fkiig^3k4i^ punda ceniiiaacc»^ pundum^ 

& deoiquc; 




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t4i Pariii l Lib, Ilf. 

deniqtte if Aeu ^o^ h in (tmtQ^a cImCz fept9^^ 
cu^ cranfiras raaioram opticorum per imagiDem protocypani» 
ti diaphana foret* logenioius crgo eitmodus ^atura: coofor- 
nU5f qu^m vis operofcn. 

|. III. Demodoimaginesmlongomurod^c^^ 
mandiEmanuelis Magnam. 

DRardida Durcri Portula optica occaiioncm deditdoclffSmo 
^ Viro P. EmanueU CMdgnano fupr^ laudato , excogitandi aljum 
haudmultumabOmilemmodumdeformandi iitfuperficiequa* 
cunque, & quantum vis magna ac irregulari , iniagines quascua- 
quei eoquemodoufuseft in fuprinominatadeformatioDpeffi- 
giei S. Francifci de Paula, utteftaturipfemet in Perfpedivafaa 
Horarialib.3i Propo(it.77.ubiamicorum hortatudidumardfi- 
cium traditi quodbreviterhrcrcferre placuit» ad roajoremdi* ^ 
doramiopra^cedenti^.elucidationem. ^ 
Vi(k Fig. Murys 9 in quo deformata effigies confpicitur» efl: in pornca ; 
i.IcooiL feuambuIacrouiperionnominatifupriCoQventus» & inappo- : 
vHi. litafiguradengnaturlitteris aoqs. In huiusextremaparteuodi,^ 
verfusangularertilineam qs> deformataeftefiigicstabartCjOCi 
protdtypo lk copibrmisappareatrefpicientiaquodamioai- * 
teraextremapartedcterminatopundo k, cuiusdiflantiajtmo-k 
ro eft inlineaadipfum perpendiculari o n palmorum odoconi-|| 
femifle. lQperagendaautemdeformationef]cprQcefl|(. 

f . Inter duas cxtremas angulares ImeaSi q^s, 8c o defcri- 
pfit In muro redam lintam yr» horizonti perpeodiculartttl 
(perpendicuk>dirigente) pavimentooccurrenteniiQ jl^ wm\ 
ao QS iQtervallo»quantumpoflaccuratamobfervauonem(i9-| 
prehendit,fumipoucacidebere»utoculuski u conflitutu§iM# 
factl^dignofcere podet diflaatia? difcrimen , quodueillaciiiMA 
"vic &QSy kixqualiterabeodempundo n dtveUuQtur^appa^l 
reantque amfoas ex «quo feriremotas. Quod quidf m intenraH 
lum iofier illas IlQeas ipfe pofuit palmorum . f eri^ 

" ' abl 



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MagiaAtaaQorphottca. i^ars ?♦ \ 14J 
abomb-K, ctfiquQdamiiiodo|icfcipiatur> iH>numendi& 
^Mi^ipi taoquam magoum iotcrvaUum, Hoc modo definita 
doarutiiredarum yr, intercapedo datktitudinemie» 
&oais(recliooem vocat ipie > cum Perfpedivis >. planam , aut a» 
liamfiiper^iem»in quam radij opticipc^r rem vJfam profudinciv 
dttot) refpoodentem latitudini konis in tabeHa K u Eft vero 
iwiiaomjn baclantudine definiendaiMg^^ 
tiMjiioperis fymmettia & pulchritudq dependet } quapropter 
ppc^iprocurandum eft ut jufta>& non immoderata^nec ext- 
jpnMKS praelcribatur io hoc negptio latitudo. 

li lopavimento parieti iubiedoduxitrei3;am at, ad^ 
liMd parietem>perpcndicularemia:qualem autem ip(i o 
palmos odo cum dimidio longiam > 3t purtdum t fu& 
IIR^ u adperpendiculumefletconftitutum. Tumfixistri- * 
luidaralisio x>RiS> bombycina duo fiiaiTR^TSxClavuro x 
a&^extendit> velut duosextremos radiospyramidisopticar 
tnmk totam prardidam (edionis latitudinem compledenti^ 
ttpHbxts. Acx>r2:tereaeodemaQguIo RTs bifariam divi- 
^^^fri Etem. mum aliud t a tetendit>yice ac bcaaxis opti» | 

/HjL Emgiemelegitintabena lk> adproceriorisHuma^ 
^llltatmagnfcudinem depidam> utad majorem ab oculp^ 
^(ffB^mQa)ioc9it3LcUxh videripoiLst acdiftind^. Hanc effi- 
^collpcaTitin puodo v> obverfam dired^ pundo t> ab 
coqpKfe^iounii palmis fer^ 95; ad tantaip enim diftadam com^ 
I Foititamclar^acdiiiind^ videri pofle ex pundo t> vcI n> fpe>i^ 
I laiUkifticmmagnicudine. Ideoautemulistpagnitudinisico»» 
I Vbdie^utaikoculoquidem remotiorem>,Iedioni ver6 pro- ' 
I jpwjtqni pooere poiFet : fi^: enim , experieotia docen te > certior * 
«MljKtoriiiiious bbnoxiusra vifiialium dudus per i- 

ciiib|ittqda fii^la in fedionem. Movit tamen circa y tafi 
I KB&kooem^ut i diredo afpedu ex t defledeos^ aogulbs cun^ 
^loptico Ti£ conftrtueretobIiquos>ifideacutumtvx>gra- 
'nmi4Qjhincobtufiim tvh> gradumniaaCquod comperity 



%4 TzTtki. Ub. ilt 

«dudo ^femicirculo circa^entrum & obferrayit quaiftafll 
«eius in eoiicu parcemcomplederccurjaDgulus opti cus r H#ii* 
•ve R T s:lia:c.enim erac rata lacicudinis eius pars^quam deforma* 

, rumcommod&cxciperec fedlionislacitudo jam anceadefinicx 
jI V. Ad meniuram i*ei£la: xu, creca delecilLdefiniriciQ 
ftabella aream paralLelogrammam j /, .cuius lacicudo tt^ 
,hfy «qualis cffec rcda: xn, alcinido vero ha, iive /^, jcftt 

> .admocium alcicudinisicQnis, caueroqui ad placitum: *neqiie«* 
fnim quoad alticudinem obfervanda cil^ectalis aliqua inter a* 
Tcam nanc,& aream (eiflioiiis proporcio^pri^cereamfolamiquaffl 
^anguli opcici dilacatioprarftlcuic ; ^quiaiitccumnulla, auc fet^ 
nuTla fic in alcum x^Iiquicasp rofpedus , iiuIIactiamtftfeGUO- 
/iumdltitudiaem inftituenda dcrornutio. ^r^tenea^njiilast- 
xonis in area a/ inclu(aspartes,frontem, nafam, fijporcilia , 
culorumorbes,paIpe1>rasque,os,1]tai1>am,&c.'fimiliterqueveftis 
,amplitudinem^^nusomnes,1acinias,&c.accuratifiim^circum- 
fcripfit terminis cretaceis> doifba cuiufdampi Aoris manududil 

. Jineamentis ; qux quidem h pida^abella in (ciSionem^Bigaim^ 

^ translata,fimulque ^psa translacionc dcfomta«a,finguIariumea- 
^rum parcium deformacioni debicosterniinos prxfcnberec. 

y. XIc vero ipfam cabellam l k con venienci, ad opus di« 
.^a:cran^cionis atque deformationis^modo& Ioco^il^>onerei^ 
reftam h x produxit donecparicti occurreret in <:: ntqucadil* 
lud pundum ierexit horizonci perpfendicilklarem ti^illum co, 
ferreisque In parleceni depadis retinaculii confirmavit Dcin- 
de produ Aa in alteram parcem eadem n x lineli ad tertiam vd 
quartumdigicam , v.g. in c, clavumfcrreum inibl defixic; 
qjL]e,fimu1&atceriexoppofito Jn c fixo,funicuIu1h cg adaltt»'^ 
gavic, congruencemcumeademreda xh, acque £icieotefli^ 
cum fuperficie pariccis anjgulum acucum g c s. Huic verofifnl*! 
lem £DP angulumfaciebat fijpern^cumeodempariecercgulkf 
lignca p £, cfgillo cd ad angulos redos firmicer adba:rcm,l 
funiculo CG a:qualfs,eidemqueadperpendiculumimminidns.j 
y ^rique aucem^id eft^^nitttlo Sc regulaf fimul , adallfg^t filum 1 



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\ ^ «MMMf amlMilatornifli » opom&taQfiim , w$Mifm, 
ji^fWiilrTfl liniill nijphiTi j^lnhiilnTilflr rTfpiHj fnlirilftrrprf 
ccticrtm«crebtaMiiurfamac<icorl^^ 

dMpe prolabcMwr) autalit^ pmariA^atumftMooeaickfe- 
rerec Ip fiim¥e«6iikimitacUfpofiu€> ut fecans «n h cadiiim ts« 
bM«E0od dQetad aQgi^asredos,ot videiicetdireda? peripfom 
eft iilioeJtopKicas caderent4o ^ e3(tremam ac xcmotiflimaw, 
dc&HDmandxlesagmisJicyeam. 

V L Ta^Um x: tigilla co adoo»ite^o(ertts pariter iii 
i &&af4isfibulis,utdrcaiUaslibec^hQcilkc¥erti^^ Sed. 
dooliiMecofai^obfervarecuravit. PriiwtmefttUttabelkeLiK 

filMjf» IsaeMictwea^i^jQidemiiUcoc^oe^ 
^iwImii timnl ilrrri (Tinfrirm rrrnrn lioea ff filo iq x j traoda-. 
lujiic fiioilirirr ad perpeadicukimdirpo&o, lecantiqoeradii^ 
X &dB X. Akofpmeil^uteadem tabdla fupra c> in rigiUo x: j^ita 
cbvaretar verfusto, otparte^uidimtdia* velduabo«terttis«pca- 
utlod^Hpofitiopcfipirteto » altitiidiQem^uperaret^fio» . 
L|Miiiilifiiiiwiriinpflirirrr1mij;;n rnmtrinrliimlrrTTim obtioeret;» 
hiii i]torinnriirfi'-rT j-^n par<d«i;iOequeetf^mliiiRiiSkir£» 
i(i0||QlAiiiooafeiiQea hf in zb optioecaderet»& ae io y #j £c- . 
qoetota tmagioisdeformat^area y b refpondcretredle forma» ' 
tss^ceas Debebat pr^ecereaobfervare, ut tabella lk filum 
911^ OKciMloolil^iangeQte>id eil,io piano gcve exiAente,ef5r. 
3^ineadepi<la nontn bp, fedin s refpiceret,fiineaaliquidfu-j 
Wet, quodedextroiD^iaiitruf^^ velenajilroiadextrom^verti' 
nuaus con V emens 

t«cl«»£iuftra fiemMMi^Ocroatibneieconcraautem dexcra per«i 
ftJbontiofitudextrojfioculoN advcrfaconftituacur. Quiata-. 
a tnptopoiica cffigie.oibiiMleanimadvercit^iupde finiilro ■ 
i<lextrum i^flU!lMMik»c6a«^epo^^ 

yidprorfusnoncuravic : imoverofmilciimfollicicus 

T fpici^ 



14« ' ftnlbl Liber iri: 

fj^cietiei n i)iio<latii modD advtr/us tpftrereCf afqM «1«»^ 
iuxcaaccommodatufniiaturaefitym, partem feAiooisoctttoTi* 
ctnioremoecuparet) pes ttr6 cumca:terispoAMriortiMSfW«i9- 
ftifimimi.VodeubeUam lk averiampofuitre^>eAuoeiiti Wyac 
proptereaeandemcolIocaTitinterfilQm FHr&oeolumN^qiia»» 
ali^coiiocari oportQiiTetioteridem filum,& lioeam bf. 

* VII. Abdavulo io n defixoreligavitteouiffimumfenctii» 
fikmi»loogttudicieuii|Utab n uiquem Bpertibgerppoflet.Iftad 
siamq; iilum varits fubinde iconis pun Ais, feu>quod io fdem rcc^ 
dit>gemmul{ mobiii optfca ipforum pundorom loca fingutacit» 
oecupanti (utmoxdicet!ir)admotumyvicemgereredebei>ac 4^ 
pricprum radiorumtqui per iltam & pun^a trasiapC/orm^ oa^ 
rttodem intellfguntur tn fedionedepingere. Ad lioc aotemom^ 
niodrnecefle.efC filum valid^ mtendi^quoni mirum,qsaotum fie:» 
frpoteft io «aota loDgirodtne, redam^efficiat ,qtiamvirfMer^ 
iodcfeliciterfiatopus, licet fertca ill;^ linea aiiquaotuUMn^ kiM^ 
tbematicareditaaioe defici^^ dummo€t6defedus tiob 6t mm^ 
gtniSi 6c femper fit uoffermif v unifermts autem erit, frio ioogirai^ 
dtae arquabx ri etkm km attm Au «4teit filum toeeodatun 

V It^L His ommb€»debtt^diipo(itis>taodem optatamtl»^ 
fermatiooem ficperfecit Tabellam lk ptaoo 
4c filumamblilakoriiMn fh^ getmfiobmqueineoniobUema^ 
f^k»viC4raFdecermtaatD in^tabeHa <Mcrtpooniro crectceoraav 

«motd^fabdl^iLC ididoplaaeset»^, exceiMlirihimez Ui mr- 
gemmiriam«oDtioeerec, rt&k arfmurum «kfa» p M'UP| < Mci y 
lA eoqueopntaAs fo» pimllttmi^ttam» tetfotdtm iHtBidoM» 
punftov ctti>ap|>lk»Ka firi>fttce«iaciiiifcHHitbttlMMMjgtn^ 
Nocatoiioepmifto4n^pariec»,icerimicab«llam tc pUMo ■ 
a«knovtbar)iilDm Bii:uoicum|«iimula,a}c«iiiD«iU»etkcflMfc. J 
ceo|Mmdo«ppAieabac,a[amMa:«bett4filom«x liipifnminwi rj 
lamftrmatam ad wumm uftyiet»&4 e3ic«B<l«baftibiiemw)iywi>> ( 
Attmalitt(hgemmufaBcc»rre1poiidensoi«t»b«c. HaeoperaiMae^ 
lT«yieiiccge» ptd iiM » c q« <Mi fa »pM»fii»*ibecCTewa»iBt^ 

' fi^i« 



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Magiii Aaattorphoiica» Pan f. 14^ 

Bipicmtnoameoto ( (I neoefletrat) lofiidNoBe piuid«£- 
|M^»t,ff«fefiuiioiunea liBeaiiieouiMMWMmqiMiMlii» iie> 
aMDia»aittcitffTtMttsfbrmein fervareati fieeniiMnMilupliQio 
tkpuo^ fiidiiinia fiebar«leformatio. 

l X. . Dtt^sidemtf m kac arte, deformatisqi in fedioaeex- 
ttiaiisqiianimUbetpaittum liaearoeotistco).oresgrapbicit pi- 
iMriip«Bitiiadiiftria> appofiiitconve^ieotes (iiitauo»quelocy» 
dri|MMii%aco9,mtcffaioM:oUedos^routex^lM ip(a linet- 
■iliiium deittrmau difooiitio. Poitiii aucein ii|xta leges pi- 
AaMMrtis, ubi oportuit, iuaves»au(leros, (urdos, blandos,(atll- 
NiUilRas, ac HMdios \ ea tamen peculiari lege , ot in parte qur 
liwiSfcftamailo w» diftribuereacur languidiores»inparteyerA 
iMMiiore vegetioros , ac in media medij , (enrata proportionf . 
Hmitemaree fa^umeft, utremotiorparsdeformataeimagi- 
ij^^pireat ipsaeolorumvivacttacemagis conTpicaa» &boc4> 
pllfiudiniiiimlri |irnninqiiinr (fnlrnrrnim qnrprnpinriiiinri 
fmh evidMCtos coa^^ci) altera^contrario proptercolonyii 
liAipmffiwnomQeKBattwnuiKu & ideo remoiiorexifti- 
MWnObbMt^aucem exiftimatuin acceflumpartis remocioris» 
ll||MQm«i0oioris,ifada eft quaedamutnusqueadatqtialica- 
ilj^ipiiiiiiilifl I II""'" iiriimiii ucimagodefarmataiii 
te|M«bbqao,ieddireao eile videatusii^oodauidefp^fer- 
|Mwmr«fo(iiMttQnispmniiK»o , . , 

•HH^ 2*P4iiiS<|u4mji)Icic|^c9leubminducc^^ jadhf- 
Mhitssttnimit intertprAdu4ic>resd«fom:)rit4&imagioi^ tra^Uis 
49ii^4waiitijortbus ngurisg^. Francilcid^ Psiula inl^iorajwr- 
Mtai^ «|Mr»mm.c«ttmenca^ ut bac jujcunda^llaciaiotueiis 
lilrfiuilii ikiiiiiniinir Aec quid^irpicetttrinibittlcerii^ cil«» 
■iiiiiiiniifnltiTnri? P^lf^ttac in fimilibuf ^f^rmacis imam- 
jj^Hi^ Mililriieuiorum>fliinMnunHfQ 
iiiB£raipm»agrorum,vtartim,^ buiuOnodi rerucp 

MiMdta«fttll«Kilieec,quas qupdammodd confuseex{vimo- 
Hiftftii I iiil prndnftinrf T qnilihrt hni^inif deformatxjFra^flus. 
tfiiihihii ieii«riMijU„edi(Ierit Tbattmatuffius Optious Frsmi^ 

T 1 ctuun 



1 



decaufa. Prtmo, quia pfAuFaclefbrmatacorj^ ^pedatayckmifi 
lie colore Dattvo» & (iraul ab&q; foHi» partium f>roporaMic cer 
mtur» ttmifmd^efKtfttircaintm eSigiem» qfu^ coMioetf «bi^j 
cedtr^ nativuScotorifetitKitivofimms , vt^mimarios, v«ftem 
akaqrhuiufinocK (>tH>cfit , quaDtuntvUoecultMa' titiieameMiS^* 
fbrmatts. £>eiflde> qtriaqoaErHbet mffiutiotis^%ilraii ^tlite «j 
ptacitiim,tn<raavis def ormatartmagtRis pat te^iijSem m comtito- 
iie v<K:ati^t coioribus efi^rmacitur,ea^<terik|i}e fic efloiniasarcM- 
^renieatitbifiulk) intercurfaiitea4ieiK> cotore>c«uii{ik9^^mtf»aii 
teromnes^artfpuamdefbrmatamimagineti». ' ' » 

XL -lconi convenienter dcformara?> parerga a Aii iiit taK l, 
quar pTMApfuh iuvant ad vifum facitids decipiendiim : oefiipeai^ 
ter oculum n> & defbrmatam imaginem y toto eiyfpasio, qtiod 
cotltfnetar tmeis rt, & cdv obiecitTeIutloii|gr?a^arbotisftl- 
pkem^feigeiitem, vebeiiieiittcolorisvicon^timQfm longift^att- 
i tem ▼etiKik6rg€Miief6niiat^ imdgims>campo6 kv^iipe^tMSfli^ 
tes^aDcfiiciaqu^cciemora>& iIialioiufnK>ci(iIongioquaprof^ 
^^>fet}utbus &ieirf ^eokitbdudis lineMMntiSv ^xit acinibi 
irtM«ottHw;-8cca^«miac ierarum> alfarumquc&mSamiefum 
carpora extguapaticiiEmis umbris , ex4gua luce > vcl ut a loogfe 
fpe^abitia oi^ofuit^ CumeDimhxc» tumobcoiorisdebiiica- 
^iiMtamf^pft^ 

Bteaimagtnisdcfbrmata&pars, quat coniun^a ittis eft> coforcs 
if^j^ ▼*T»dtorcs > 6ccraffiiMres im[ibraft>; appareatctel^ 

jVfl^bitt^l^Sttktpartem extremam occuttsmstfiioii 
yl^m aHrttmj>rt>ut ffcdicam , 6c arpcdui Aibttafcit contlnirita- 
-wniltam» c|ua perpe tuu&£»af ies ^& cumfe^one yb^ obiiquum 

- - ^ lagioisparsoculo 

•1rtctnior,feo^uidoscok)re$h4beiis^ppareatcomparative 
^niicqae hat utamba^tmftfci^ 

%ibtfcftaatkappareamt. ^<gty^^ nyatt Jg»oll ^iii liiy ' 



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Magiii AiKdti^^hlKtf^ Pan t 

» partcccm»aut januaE ibi fort^exi(leati&Va(tiasc«ajiciatcubtilus: 

admoTeri^^^> latjpr iq^ticf ,.tali forma menrura:>.ucibift. 
per eum taiago>tn extremoambt^a^rodcrormata^tum aliiscir» 
ca eam ksi» (tecepcionts€ausS^}dt^,eerQt queat uoico oculo po^ 
aefaneKimaiitf«iiMm«i;imb^ . , 

w t n rfitt ift i ei eafimuM»t >tgcefia«rt i>»|ta«<»m>.ftff»Bj»W(y4a ;i j.» , ■ ■ r 
iia i^iiw>i I. in eo dtfoniMiiaiBoblHyw^tf a^tj^y};e^yli(ijjf^ 
aDattttnriag^atiQjoU^uicatisJik^t^llllfiajr»^ ' 
|iAriettt^«rfidtem»qtmoJ»iif^^ ' . ^,. 

icadii}>onx , ut pcrpendicularis fic ad tpiius cubuli axe||{|,i^^ia 
AtBaarcoaotuiaiqsiQciiBM^ : , / 

lari»adanau)pttciiaft,ecjKMflM49if?^ >i r 

<fireao»Oi»O4tilto,ob^il9rQil|lH0rfl(r^f ffe^9!^ 

qnamcefttic ftf«»aetamcaiM»«ftl|fl|{liQ^ltf9^j^^ 
m jaooa Kgpeadepkfiuseft ocuItt»»ai(%)ijSM^^ 
ii nii i i.irt iiMgineaaarfpd k^<iltf ga t tp» clg ..ofir] .m 

c' A p, u ^r.m:;T[':.7r :,, 

^igV ^ i l Mff y6 d^jf?y ! 

^iroagf nes in plani5 mtercifis> plicatji?^ fca|^|^^ 
■fciti$(autfi quo ajio p^OTiocappclkr^lubct^^pingctidi iVa^ut^ 

jfederesctiam^quattior , ac quinqtic ^?^y<8ftTft1i|ff|jA^ 
4H|^ cA|Wftrjf W.p»UW^^^ . . 

* 3 l^A^ 



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^ ' R A G JH A TiA I. 

' {Jm/^inefn in fl^m^ftrsmB ksdefinHHi viin 

* ! , ' ' '. fvfM fiu appanatiin altm 'veryi^tt 

. , ' , ■ : .1 ; . rvide4tiir, 

Mterfe Ifimiw^ «rqaalui , qatmtiQ TiaeUctcdujr 

!B^ierairedbmiiiA4dltrle«q8aliav Debeocaucemdidaprilima 
Z^fiZ <ieHfea|a,0£m(dtay)>rwU<aMl«ogafiuiiraeft 

' Wrigawk^' •'• ■• 

VidtFip.-' >f{: Om^4b()irlOi<ia0i|)i»idoasregulasfeotigiUaiut, 
iiiJcetu£t'i^, ^ttacdttoca,4c firtHjl .QMonm veirtices aiM;tilctes b£ m. 
^At regnh» i ptatoa ter^* i«lt1cibus«ittisoppobUMCa fibtmittii 
cdluereaflfjttCefficiaQCuABiwcoocitMMmacperfei^um plamuB, 
uc vi^d.l^m hic io itfttm priiaMttbus iopra cigiUa <s h, i s, 
diA6mdddace^MmHkUct«& ■ • >• - ' 

III. lo hoc plan<»pMlge flatoroiiofdiarMrfitorinnigiw 
qoamcunque, ▼.fl4oias>nencLDioji^s, auc Clirifti refurgeacis. 
Vide fie. 1 V. Pera^ pi^ri dtfelvef planuii)., 8Ulngula priOnata 
fT.IcoEu£|nQynatoIaCDSiidquevelverfus gi, felverfus hk, &{ic<ol' 

ledinterctfofh&ftriatum,acque in moremgradiiumdifpoiktim, 
proucapparecin^gara M AOP. ' HisenimA£):is,4arpicia5ftria- 
tumbuiufmodiplanumex oPi oifail videbis oifi vacua prifina- 
tuin. latera : fi ver^ afpicias ex m n,' videbis. imaginem morm 
aiicGhrtftiiqiJtmi ideoh$cinvetfi^#pfnzi,Btel!e<3la perfpecai^ 
liimi^ipfeiitari^jaeacMbdopoft^ ^ ': 

fsrtiih^d» himimstii^ii^df^diffi^dt^ 



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Ma^aJbiaBbt(ihckicii.!iln I. j tf^" 
ANMOTATIO II; 

gr»y&vacM^fmaMiii^ttigillkG H, i k, iUviefficisMttmiim 
flfMMmt&ike0^gat\}idtit^Mgift4fpMrebite^ 
f»ff*»^l^pidtam^kJet^exvn4f4rtein^iciet»HiffM^ 
^^tfx^rte*{terJtinj^enti\4ber0. 

ANNOTATIO riL 

Q.Hm*grmfri/m4tiimJmfr4tigiH4 exfUnakdi^emsMifffrm-y 
^^Vy^ytmmmJiexdetepmimafifunSefmneJi^ , 
fHemiitdemfr^n4tilmfi4UrifmmideinJecelUc4t»^ 
JimmUtn€ctti^excert«fun3etermi»4Uvif4refem4bSur* 

PRAGMATIA If. ^ 

• ^J^e&^Mexf^oUttre^vndmreddSittfitmam, 

exalnaliam. .i - 

ing^erprKmata fifi^i fcaaenmJemooffravimtte.frneR<et.y^MB^l 
CJ&»&!n|)oteft in uMis Wcatis,fi lignea nUQlrumtabuIa**'!^ 
t«ls fibiqjue «>b«rentibuf excavetur,& in porcanjm '^Ft^ 
ic onuffi , inde afiucf fimufacrum propriisfineaiilcn/'^*** 
, JiMMeexprimatuj^ficutquitabulam obliqucintuc»^' 
|oJmef«unamsabaIteroa)iam,videantimagiQem. 
afem prtetcrca fieripoteft acfolcrm prwis^liMtiribw, fi».!^*»** 
■nacBarta, auttcla mUnda Itapricctiir, utcxphcata rcTiter**^'"'?* 
c&art5.|>Jicxtrigona pii/mat^rcfcrant. Sicnimexunolaterc/fife 
djaarum plicarum piDgflwrtBKi imago, ex alterQ altera^.eun-^'». " 
4emcflFedum pracftabuntdj<3taechart«. 

P ofluDt etiam fulci in ubulis folcatis ita cxcavari, ut /ibi: 
«gm^oo prorfiis cohaereafit;fedintcr biuos quosjibftfpatiuin. 
fgi^mli 9cqu^Ie rc£oq^a€urf.dc tuncJn^ii^jirpili^W^ 
pm^potcft aIiaimago,quasnonnifidirca^io/pe^0pM^^ 



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*vatori$noftrL Dcindc nIis,4iibitiUffini.is pJcrpcodicuIaritcri 
fumino dcorfum ip inf^^nis p}aoQ cxccniis , & fibi mucuo oos 
^ymnioocoiixrcntii>us^ac|)idain jani imagiocmquaii cegcQuo 
fa8^t)iiNikmMiim)^^ 

uiiiiM^ia^f^^ caohdidain 
e^ftlft fitriMte oabaereDul>sf conteztam rcpr 
litu firmati^i^nrUUD^ 

nimfupcrficicio oadostuiiQiocurrcoi^ ^iogealiaminuginemi 
Y.g.BeatiffimasVKgioisMaria:bciMatr]s. ban<icmdcindcin- 
f(Mc6^k^ttcrb ^1ii^;8& i^ifiMutn iiit^ici^eocciir^te pi^ge 
certian»jiil}«gK^q|»^ Habehisigirar, 
ut antca^trcs to eadcm tabiUa imagiocs j quarum ca qlne io tabu- 
ladcpidaeft^orthopftrcorai^ioreprx ' 
r -^^' xa^t^6 radio Bfcatam W , ttrtia iiiderft ibxoj^ort 
^ t^t^isflf foreb bort^ anopticoctiatii&fidJtt 

- vpliiCo^^^dio alirasdtias ineadem cabala imagines exhjbei¥jfi^ ^ 

ddfdyiei^filiitranA^^^ perpendicularicerllatcYeaHlatttttBi ^ 
ittCih^pIiitloimaginjscum normalibusfilisanceadudiscraticAll- 
tumquidexfaibcanc. Quibus fadis,cx (upcriore parteaoiibrf^ 




currehte pifig^ aitftranl imagincm. Habebis igiturld^e^dai 
cabula quinqueimagincs,'qpaiiliti quscIibctHdki 
a^tif(ii|itf^ 

liB^iiff^tJ^terius Iffie^ confandu%t' " it^s iM^tJ 
c[^i|^ji8^ pltni , fi myltcrium artis rghordtdf;. '^* 

vWMMlEf^cxd^m imiai^ines in rpcculor»rkfentctilittr«« 

PARS' 



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Magijf/Uiasiorphoticx. Pars IL V| 

PARS SECUNDA, 

DE ANAMORPHOSI 

GATOPTRICA, 

Sive ■ 

Dc reforhj^ciooe imagmum derormata- 
rum pcr radios reflexos, feu 

ABjohJmus t^4t ferttHent ad defomationcm ac refirma^At 
tiotfem imagmum ofikMmJeufer radi^ MfieSlos i ntmcf^^ ^ 
p4ftctf dicemus de earundem imaginim exfntcedentthuifrd' 
x^M/ defirtmuarum reforfnatione prradios reflexos,y ofe Jci- 
licet ^eculfrum. Bt qttamyii htc non niinoryari^oi occur- 
r4tq»dmiirfrM€dentJfut,tumquo4difl^itr4mdi0renti4e^ 
tumipt^udmukituMnempr^umifmtaitametiremalifihe-- . 
mm,fr*cipua Jo&mt faaHora, magis^ue d/Jitata attingen^ * • 
tes. SciehancmateriamadCaioftricenfrofriefeSareiideO' 
queii^rd ia%MagfaC^ftricafertra£iMdamiflacuittamen 
hkum fidfue&eref nfi fimul eodem Liho tomfreheitderemeit 
qutODtfue ad ^namorfhojm ^cunque mm fertitserent,^ 
ffdjerttm cim facitijine fvUajereCdtofiiees nottiidsnteUtgt'. 
t^4X9reer$, . . 

V CftPUt 



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i;4. ' i*artis I. Liber ItK 

C A P U T I. 

^nMm»r. Dc Ananiorphofi Catopcrica pcr fpc^ 
f>rLf.r c^lapiana. 

»M«*^r*. PRAGMATfA I. 

n^ingen in fl^a alit^ud maginem y ^»4 monfirofd 
appareafyVtfaveroiftJ^ectilopUnoappareat , 
jormofa i fimtUscjue prototjp^f ^maudo tam 

imagOfq^uamff^fcuwfte^i^a- 
iirafum. : . 

Vide Fig.I.pLeA4 pro prototypoiitKagineiKi^ua pulchri.&quadrata, 
iJcon.ix. ^a4|t fer^quadriatatcircufndaeamquaclrato abcdh 

tera eios (inguladivideioquothbetpartes xquales^v.g.ioqoa- 
' tM^,utbfc,du€lisreffisIfQeis>ut:fiantplara^uadri^^ 

figai^aappante * - . . 
Vide Fig. tltiiiugoh.J5f,quam4i%areyisjopiaf^.o^cu^ 
ji I^;ona;tomk)fcculumquadratum efgh, ducinplanoinoiinearabaa 
,x.^ *GH ipeculi a*qual6rti, nempelioeam 1 eamijuedfvideio 

Vide Fig.^^^^P^'*^^'')^^^^^'^ ^l^t^^^'^'^ ^ ^^^' ^ ^ imapOis. Per 
iii.lcoiui:Wfiumver<6Iie«aK vsic> .ttbi^Muidn^ dttAaltinMro«9fl»j^r- 
IX. pendicujareai -N L M, earac^e prodvc utrioiqn^ 

M prbhbitu. ESautdnderormioracdiinpatioi-ericimagoiie- 
pi(aa,qu61on^orfiidwthaeclioe4. l 
1 1 1. lihea t*f.M abfbickle partem ^ fir,- cantie longi* 
tudiois . qua(^.U>tig4ai voluecis e^<ifNag«Q(md«pii)^ 
dam; fiCjpc^jiiJ^uiB .extcp4p utrinnquc Ijnyana om? io- 
d^HhiczTpnattudinis^paraUclamlineae i^k. £x oppofita de- 
ii^e pai^^e^liBea^ n l M^iibicinde partem ahahi t w» araualera 
parti L M. A puodo h aflumpco,per ontnia pooda div^o- 
BnniiDeK, iK> «ksueadUncvB or, dncre^s nc,nq,nm, 



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MagixAiiJUfiOTphotic^. PartlL ijy 

irr»Nr;qtiardivideotIin€am op intotparte$ interfea^quales* 
ioquotdiviraeftlinea I K» partestainenlinea: bp. cruntdupl^ 
fartiumli«c« i ifi oQuiA-reiaa mn dflplaeftreiaac j^l., 

IV. Eptjndo'^ erige perpcncUcqlar em nr, fuius,alti-- 
tudo Gt dupla aititudinis g £ fpeculi > feu arqu^lis liaea: .o 
eritqud nh altitudo ocuIirupraimagineflidi0l^ 
dequopo(lca« £x R ad f du^ redam^iUPj qu^ tcanfiens 
^er I, recabitomncsUm^asex^ ad op ^y^^^ii^pun^is s» 
SiS. Perha^cpnnda s diH^lint^sparaUdas^ind^ ik^ op> fic 
bhd^ qoadratum opticuna i kp o « diviuitnJli tot |patia»iii 
qaot^ffum eftqiiadratum gcomctric^m. A B c 0. 

K Hf s omntbus £idis, transfer pjift^es ima^^ craticulatfs 
io^acicscotrcfpondf ntes quadrauopti^ 
oomeri indicant/erttqueimagoproco|j^aqptia}^^ 
£HiB»daTer6cacoptriccperipecul[i|m^ ,c 

VI* ExputiAo M crigeianunama^qtialisaltmidinisoiuii 
Kmh Jt,M« habcat in apicc foramcn cxignum ¥clut 
Mnj, Oeifidepode fpecuium perpendtculariter crcdima fa« 
^lMafii (Xy Scperforamenlamina: cx M pun^oercdxiil^ 



t^lill^"" ' apparebitqqc in imagoprordus fimilis prototj^* 
fjjnHfl^iiictpcum f^^^ 

AN NOT ATIO l 

^ej^drcuntJdfmn marp^ \ ali^qmn fimMrgi»em Muerit , 90^» 
itiatmfiMra Uneam i ^^ pi ftlmqm dehet tantum^at^i»t€rj^efi$m 
im^J^amUneamverpis n> quantumecet^epeteHmazginitUf 
mJk* V.%.^iculum frMcdens E F o cinumaatum cB mar^ine yy^ 
vxtz, tuimiatitude eSt 6 x^nn : J^ecuUimdeUt erigifitfraune- 11, i^i^ 
m ^fn^tantum MlietaUnea ik» cjUMfa eH Ufitude cZiiT!lcoiu£n& 
— jx nMdebeteJJeniaiorquiimhafis Jf^cu^^ ^ 



. ANNOTATIO JL 
^&vA vtim0g9 di^fgtafit fiifraJ^cuUm^tminfirs^tuim^ddie^ 



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tf6 iParti» t LiBcr Ut 

iaju ^nthHeB imffinhfuhm fum H^ofitknem mnpnU m^n^ 
0pU€0 I K o F : nAm quMndo imago eH hfffd ^ulnm , vt infrndieh 
cdfu^&JptcubtmeU Juprd^imaginenrherit^fnii^ 
verthcdattr^tdnc bdfis ci> imdffnittubirdeptmfimtv.gfedesaU' 
'cuiwhominu ydtheftti:n quddfdtdoftico definpfrofffie^ 
frope lineam i k r dt qudndo ima^ e!t fufrd ^eumn , 'memkhn 
eiudft dd dngubtm fefhm ^eculo verticdUter ere{h \ tunc vertex a b 
ima^niSiUbi deftihtin eSt^v.g csfuthornmii^ehetefl^vicimor^ecitk, 
nemfe lined i hoc eB in fuddrdto oftico iUdehttd^ingi imap 
frototypdy vt rn eirloco , in ejuo dntett, dtfiSii etdntfedet^ defitpgtuurci^ 
futy&econtrsriitiUtfiinfriorici^ufedeserdnPfrofe !K, infofierkn 
iefingdfttur frdft o P; PttteH etidmtdt^ imagOy tfuum ^octuumfufrs 
Uncdm tiL ereShmjefjhfattBekmdlicnpmuriov^kmoUd^x li^ ch^ 
'QdpteHeffe^uroferfmdkuUm^ 

ANNaTATIO 

AMmoD- Heortd fradiltd frdxie dependet exunicafrincifio dfuicdtOftrii^F 

SiPirica^* \t oertdiCpt^^^ 

thcoiisu. tur in ocuium conjtitutum dntej^ecutkm dd dnguks dqudles , uti dnT' 
Vidc Eig. mtfS.&exflicdbimmLib. 6. Pdr.L Pralkf.y Profof.n Ex Jiocfh, utjl 
ii. Siin.fj^cuGtm^ v x y z fit ereifum fiifrd likedm a b\ inragiitir d^pfiti, 
lktmiLn.fmn8tL o,B,G,H,i, &reliifudinoffrddientinocuStm K foMJ^ohtm 
e^nfiitutumyfeddddJludles in^tlH refloiidntupin oculum confikutum 
ndfdrjes qE dnte JfecMlumy tiuodfit^ R^oculm & pun6{um \ffut 
Muedliditjr dqula/heculdremotd. SjtdhdcihfinudWefufficidU ' 

' annotatio rv. 

C\f^g^^^ r/ii» diCpfdrifoteSi imdgf fro Qdtoftricd reformdtiitte: 
^^omnihmiUUmodL^^uosfrdfmffimwin^r^^ u 

PR AGM ATI A , 
Ifihgert in plana imagimm i^efi>r»km^ quxm^eci^b 

jhumsf^ j^^«a4^/?4r^/dr^yS>^»^»/(> nequetmago^netiue^ 

fh0fis€UN^ /^^ectttumeBquadratum. 

j^ii^i^ /^Handb imago loogior eftquilmlaciorrautccohcraricpcteflf 
^^SfiihilomiDits quadracagj:omctricaindudi ^ & procedi ut ao- 



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MagixAmmorphoticae^antL ip^ 

fea»et§afirtuttc»qpa)icbrpeculiimoo^ 
il^procuretur uc tou imago io fpecufo apparercpoflit. 

Si umen aut non libetiaut noti licet imaginem quadi^ta 
incloderey.poteftincludi parajellogrammo obloogo^&Iatera 
longjoKaditvidi poflunt in plures partes > a^qpales tamentquibi 
breriora; & ddnde procedi potclt ut fecpff tur» 

*Sitprototypum abcdi divifuminqpatuorpartesxqua«y.. 
lesiQTerttce AB>&baii CD>.ihf«x.ver6inlateribus ac&b 05,^*1* ^^J^ 
€c (peculum &%,evqh eiusdem figurap. Utrum ver6 velis^xl 
'ima^ocffldi(Epacam(upr4jinfri>adm Ipeculi^tux relinqui- vide Fig. 
CUvneftioDi. ^ ^ vJcx>n.ix. 

Siimagioem diflipatam vis coUocatciofira aur (uptra (^ecu- 
Jtoii>&aca ob(erva. 

li \JjcioprarcedeqtiPragmatla>fecre<aam «qualeniyjj^ 
luitudini g u (peculi >. & dlvide Jg^am io quatuor «quates^j^I^^^ 

Ih AccipequamlibetloogitudiQem praoi^&facrr- 
ftam oMB, perpcodicuJaremipflL^is & ln asqualtnrripii 
ibM. Ex^^uodo N ducradiospcrpuo<aadivifionisr^(aa5 tx, 
j^cpc adrc^ra ob. & puodum oculi ji eleva perpeodicula^ 
ricerfapra n l> adaItitud|oem-paMl6 pofl determioaodam. 

IIU His£idis^memioensquddiQtcr lh debeantfieri 
ifcxdivifiooes^proutlatus ac prototypi fiabct (cx divifiooes; 
Producergootrimqucrcaam ik, uf^^ead r & v, ut ir^ 
iv> Got asquales partibi«$ ipfius j 8cxp|a ty ftt fex ^equa- 
4R|mpar(ium>utieftlatus ac prototypi» Dctodecxpuodo]>i: 
dbcanturFadtiocculn NXrUfquead ot prolongatamufriii}^ 
queu(quead puoi^ xx. 

1 V. Sicutio orxcedenti Pk-agmatfa; utimagioesdiflpatc: 
indtfeoturinrpecujoperfedht-ac recolttf^a^jCotumque fpeco- 
tem occoparent , oeccfl^fuit ut oculu&eifet clevatus fupra pla— 
flom duploaltius alti tudioe fpeculisita hic oportct £icere redantr 
MH dnplamipfius £g fpccisli, ^I.tv, 6c aeiodeducerediags);- 
ptlmOfA Xt qua^^traoIcuodoperpuodMm (ecetradiosioj^^^ 



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ifS Partii l Ltb. IlC 

Ai$ s; actaddemperputida s ducereparallelas ad op^yeliKiia^ 
ccrradiosiOiKP. 

V. 'Hisfafti$>errt finea lm di?ifii!nnixpartes»&trapeziofn 
feuquadratumopticum i kp.o, intotfpatta» inquot quadratub 
divrfum eft prototypjum a b c d ; in qua: fpatia quadtatt optici 
' iKP.o fi transferaturo^idqurdefi: inquadratuliscorrefpondca- 
^biKprototypi^erftimago pro catoprrico artificiodiflipau. 
Si ver6 planiim^fnquo depida eft imagodiffipata^vis collo- 
Vkic Fig.careadlatuslpecult» fiertdebetlinea ik {uperioris%ura:aK)ua- 
VII. Icon*iisipIi ac prototypi^&dividiin/exparteSiUtapparetinappoiitt 
■ Figura. Detnde ex ^pundo n dcbent duci racij per divifionei 
£iaas« Sed quia fpeculum habet ifoliiim qualtuor partesio latitu- 
idiiK^Sc u t Dcrfxrda^ppareat figu ra prototy pi in fbeculo » opottet 
lit oculus (it fupra la tUs plani eievatus duplo altius qukm eftlati- 
tudo GH fpecaliy ideo mc fieridet>et n y duplaipfitis g«> &i 
pun<£to ducireAalinca tz» tion per x (namalioauinfdul- 
Ucctdifvino lintas lm m feXparces^redperT; quasdaoitdiago- 
nilem ytz, fecantem radios ro pundis per qua^ debeat 
duiciparallela:ad OP> iniraradk>soi> &'i^» dividetquelincam 
LM in quatuorpartes^lSc trapezium ikot mtot rpatia>in4]aoc 
4tvifum eilprototypon a b c d. in didotrapezio pingrdebetfi- 
gucaexprototypai itautcapittfit fuxtalatus iOi fpecukimveri j 

IttXuUtUSKP* I 

ANNOTATIO, 

^]^!u^ fir^^dd e(fetimikj^ff$cedendume]fetmechMH^^ iMmen^Mihi- 
mMtsumyftr • iu§^mun ^fifheeftt ^ tyeUmefi^te t frwtinfrdcedenti^^ 
^•cuium . heedmkntmeMf.%.Jjlmdver0$bfir^ 

ufprmmn. kuffisdiM^fdmdUumit. 



PRA-1 



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Magi>Anamorphoticaf. Pars!^, i^si 
PRAGMATIA lll 



Imaghsm^mf^lanuwfercijfs&firiaifs.d^orma'' 

r\Uai^atioaepingendafitimage inplaiiis iiicerciHsacflrRUts,^,,,,,^^^ 
X^pertr^ona priiniata ad moduni gcaduum kalsc, feu pcr mpumt 
flaj^o obduda, abuodidiaum eft fup^i cap. 7. HlV*??*^'^'^'!^^^^ 
lamQesfi catoptric^ refornBafe cupias, nihil aliut^ req^iritur,y,^^,^ 
itii^^KicuJumpianumpooas vel fuprajvel infra imaginem dif-V£/ir«i». 
ipMm. Mcliiistameaerit,ad celandum artificium,lmagitiem 
(bfpeBdd-e h panete fupra oculi altitudinem,iikut pidtira tfei ful« 
<ff«ctrigonf s prifinatibus depida furfum vergat , & ocukis fu- 
IpeteniliHvideat Bifiinane$fijlco»& prifinata^fiipM im^Uyy^ p. 
wWTero coUoces fpeculum planvmpMrieti perpendicu!are,aut ^ j^^^^ |* 
]WlWnminclinatum,proafresexiget. Murusfit ABCB, imagp ' 
W»k £.FCo (ufpenfa l muro , ipeculum efgh, fufi>enfurn 
G A, H B, e ciavis a & b, utprolibitu ele vari acoeprimi, 
prOttrcs exiget,pbffi t. 
-Boflet in (irieis fcirf lateribuspfifma*umttigonoramdcor- 

fca^daiitibus depingi alia image, ab imagineinfpcculoap» 
j^teprorftisdivcrfa-.autptiteft etlam fpcculumiia inchaaft» 
ut intuens fTtam propriam imaginem non ride«|. Vide quac di- 
cimasinfri Lib.6..mMagiaCatoptrica Par.i.Syntagm.f cap.i. 
Pro|)ofit.'6. in fecuo do M odo. Pdtcft praitcr^a prifmatum dor- 
fiideorfumfpcflaotibus in^crlbi epigrapbe aliqua , imagini in 
fpeorioap^refttis actommodata ^ ut fi40 (poctdo appateMt i» 
nMg»€hnfti refur|entis,fcribi poflratbccveirba: ^iirri^^ 
^mt. MNaliqufdfimile. .1 

. COROLLARIUM. 
PXdtai»Ii<ic capltecoWtgitflcqua ratione catoptrioc£erj pof. 
^fiteoBeiftloacrefbrmatio eorwfhquasdiffipatddoeiliiiHwru- 

ptiij>ar.^cap«5.Pragmat.«. icaucfolumianiQiae pafiioaiste- 

ilrumcna 



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l€o Paftisl. Lit. Tlt 

fftrumetita appareamioifpecolo, carterisparergis circumpoCtis 
>tiOQ vifisydoimirumpoftpapyrum autubulam perforatamcoK 
loceturlpeculum plaoum » in quod^per foramina tabul radiare 
poflit imaeo diffipata p ame (peculum yeF6eon(lituatur oculus, 
iataoadiltaotia 8c altitudioe k fpccqlo i io quaota poft eabulam 
perforatam eratcooftitutus. Nam ficuti oon coUocato ibr fpe- 
culoi perforamina in oculumnon radi^ntnidinftrumentapaf- 
£onis « iu coUocato ibidem fpeculo , non rcflcduntur in ocuuim 

(pecu1o,oiO eadem fofbumenta^ proptcr arqualitaten^ 
Yuro iticidemiac & reflexioois. 

C A P U T II. 

DlfEcflior eft Anamorphofis per cyliadrica coirvexa , quJkra 
MhtBt tm- per plana fpecula* Plures igicur praxes affsram , w qaisque 
%riLt*' *eli;acqu«fibimagisarrirerit. 

fiSt?" PRAGMATIA I. 



imaginem in {yiindricajl^ferficiere^e formauan , in 
j^no honr^aUr^edtformmc^cfer£yUndinum 
^ecuhtm refirmare mecha- 
nice, 

Vy|€chamc« 6e geomecric» deformacioDes inagioiim ut iQ«> 
,{Nimi m- ^^liisomaibus » ica ia{>ne(eDclquoqueca(u uc riciac cerdsj«> 
^*^^' galisfbac,exemplumaccipiaacnecefle«ftAaacuraliiMUiproie> 
^ioaibHsac traiediooibus Jufniqoforpm radiorum , iaqutc F. 
Marius Betcinus Apiario 5. Progymnaf i. cap.^ . & pacet ex didit 
i.parte. QuoaiamtflCur> ttidixi*maior«mdifficulucemfaabec 
prarfeos , quim aliae defoirmacioaes , earo cum eodfim Bmitto k 
Naciirs,ucicadic«m,act6iicordi6mui; , 
• I.Fa* 



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MigtasAiumorplioticac Pan 11 i6i 

1. j^cyUndram ligneum elufdem magmtudtais cumxry- y.^^^ ^^^^ 
irodraceo fpeculo.quodadfttturamreform^cionemdiffipatx i- n.ico^ 
Hiagiois adnibere cogicas. Circa Itgoeum cylindnsm inctsrva 
telam auc papyrum abcdi in eaque papyrocylindric^iic in- 
<:unrata pinge imagmem quampiam £f pcrquanvemendatifli- 
nam i ta , ut adfpedanti apparear eo quim proximc hiodo » qiio 
appareret emendacipiAain planaaliquafuperficie. Neque vere 
neceflum eft colores in piduram inducere , ied prinru (ac erunt 
acpratcipualineamcncaplumbovelacrameiitofignata. ' 

II. Imaginem £f in papyrocylindric^incurvatadepi^ 
ftamexplica & excendein plano aliquo»& acu,vel majorealiquo 
ftylo/eciindum lineamenta fada pundim fic crebr6, quaficri- 
bramperfbra^ perforaram turfumiigneo cylindro circumpone. 
otcmracuramcylindricamiterumrecipfat. Satisautemtuertt« 
fi fitpapyrus tanta^ amphtudinis , uc ambire poflit cylindi^um, li* 
gaeumpauloampliusdimidio circuliiUtinfiguraapparet. 

III. Eximecylindrum ligneum,,& cavam papyrumcylin- 
dric^ tncurvatam perpendiculariter erigefopra planumparalle* 
tQmhorizonri>&Iumenjcandelao g eidempoflponeslietqueuc 
radi; traiedi perforamina imaginis £ f circumquaoueperfo- 
racat pr oiidant in fubiedum punum intercifam ac dilBpatifli- 
mam^oaodam fbrmam informemiqualis eft h r k l, quam fub- 
ladi papyro e f, viz ex ullo veftigio poflit agnofcere ille idemjqifi 
eamin papyro effinxerir Ha^c autem diflipau formapro varla 
loimDisaltitudfne & diftantia,varia evadit. 

I V. Speculum cylindricumeoloco ftaiue,qiioameafuit 
pfliqfniscyUodric^ incurvata , fpeculum inquam eiufdem crafli- 
fleiCMi%QCo cy lindro $ & pouto oculo ante fpeculum , 4n pro* 
Mfllipliali dtftaiitia&: alutudine(qaaraexperieotia docebit) vi- 

Ji|l|.Iia nj[^fni iii in plaoo diflipatam in (peculo xx^lle^buiiac re- 

llMMl^fatMjae pro^ 

. . ANNOTATIONES- 
^ t fmmfmic0BscMndmmellf0fic4VMmfdfj/r^ 



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- » 



PartU 11. Libcc lll 

iotll vijintu emindktMmimdginem dedStMm imcMwx0faffnejSih 
drict mci^atdii idea dixi^ lu9f$en cAnaeU^ non felk% Adhiheniumtjt^ 
Hdc tamen dUiiudi drdifidntid luminis mncenfifiitin inAivtfihdiM 
Uiitudinem habetx^ vdridrifetefls fed\ut dixijMnc vdridturfimnhtr 
diorumtrdieiii^fieitrfigurdinfUnpdefigndtio. 
mtfhMnicu obiter obfirvo i lumen nen tdnf dccurdte fmdfidre diSium 

nonrfifui' ciumdcfigndndi infUnofigurdm^frdfixtmohUtjueincidensfUneytt* 
rjtmrj00' ^nt ferfordn^in^ rotundd ^ quidfingitur infigurds obUngds or oia^ 
frdcish dffigndre foteji funclum ^uod exhiheret radins Ununi 
^ antraUt». &ed.infimiUbMfrdxihuynonrcquiriturfiri^uUfitstgt$* 
tffctrira. Vt Untinistjraieciio exfrefi[iorfat,conducitoferationemiit: 
^ fiituere in CMbicuU^fmninjo ohfiuro , omnialto lumineexclufo. Prefit^ 
^iam fafyraceum dr ferforaium^cjitndrum effe formatumex cktrtt 
craffdisSf^ofdcdfUt lumenncinirdlucedt nififc Artisex^^i^- 
quit Bet^nm^ non folumfigndre infUno c d L fartes iatfrcifu 
magihis froiecfdisixtd fartcsfrototjft , d quihti4frovenitmt\ fedttm 
incurvdte easfrodHcereydtiiue^ inter fe continudrefeu mdlie^inter inttt 
rmftas^fdrtesintiprfonere dUquaalia Uneamentafartes iffks continiiin^ 
tiA^five cumijs farfibus lineamenta ea confentiant yfivedi(fentiantii 
ifs fartibns > frout:ars ^ ingenium docebunt , nosfufra docuimiut^ 
imanuekcJ^agnan Par.I^ caf 6^ Pra^mat^ z. ineum frdoifuifinem^t' 
magpdeformdtjamagis Utgatynec agnofcifo ffit ab ocub extrdjfeadkd/» j 
Jfrdterea coUresaftkfiiferinducendifiint. Cavendum tamen ,niifif* l 
ergdfuferddditd in^eculiim.fimubum,ima^ne radiantia ferturotat^ ( 
ii9iaginisgenuinAmforrndm^ideomo^ 

AGMATI A II. 

^(metricid^^rrifAreim in plano^qtittiM^e- 

cuweyUndrace^ji^w 
CEqtien^praxis di^fumptaidBex PetroHet^o^jmat.^, Qn^ 

1» kQnil!: I' Iinagpprototypaxlrcumfcribatuixiuadta» &l>a(ppe» 



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Ma^tae Anamorplioticae ?ars 1 L 

^uadeformaiKlaeftimago. IL ferccntratn c ducaturre^^ 
0CF» ipeaqiiefunsaturdiftaotiaioculi^ llmu^ 40 (ptto^irtn 
ibboculare vocac HerrgoDius><]uiaperpeiKli ailarrisabocQlo de^ 
miflaioplaoumcadit in Oj utruppooitur)& pundiimprmci. 
palc F. ill* Ducaottir deiode redac da, & i>g, taogeotes 
circQiom io |>uodis a & g; ducaturque perpuoda coocadui 
xedaAti. IV. Reda xo dfYidaturiopartesasqoales^&mjm^- 
roparcs, ah, H«ifl6« 6««, «»p«pc;Sciiatqtiadratpm hplc^cuius 
fiogtiUlatera fiot diyifa io eot partesarquales,iQ^uot dfv^lura eft 
quadraiQm prot«typo drcumfcriptum. . . tl 

V. Hisfadis^cooftruaturfigura srv }^/36»cuiusIraagoi]i 
cjliadtkceo (peculo luper bafi a b a o cooftituto, iit quadra- 
tom HP LQ- Ad qyod pracftaodom,diicantur reAas x>h n,i> p ^ 
in(iefinkaclongitudiois>;5c reda f tflrfecaos re^am kg proda;^ 
Aamad libttum io w. jErigatur etiam wM^ tedx »w perpeodi- 
Oiiaris, ioterfecans d Ui io m: Sc ab boc pun^o ducatur m 
pmilck re&ae h ?• Erit igitur h > m n ichoographia quadratt 

fi; Flatitogulus <3 a acqualis angulo i A 6eaogu1us a 
itqoalisangulo Ri^^^&angulus lo^piaequaiisangulo Ko^;6eaQ« 
gufas ^ B g, scq aalis arigulo o B d. Practcrea fumatiir reda a v 
ij^^d^e Ap, 6e 1 4^ %qualis i rt arqualis iL£t& o^ «qu«» 
JPmtem A# arqualii A&i &c. i 

V I I. Jam fi conricdlantur curvis nne!s«cedtroior6ntQ» 
funda h<P T,tl^>v,&punaae, 2.^. J&c. conftrinaaeritqua:fitafi- 
|ura s « T i \ « z iS cuius imago m cylindrico fpeculo apparebit 
elTequadratum hplQi to p!uraqua^ataioterfea:quaitadl?l* 
W 

VIIL TraosfcrigiturinfpatiaFigurar^i*v>^idqtiidcd«- 
%ittarioquadratuIis prototypi correfpoodeotibUSidcliabebfs 
imagmem propofitam deformatam. £t fi fptculum c^jikk-^^ 
i collocavcris fupra circuluonhc A B, appat»* 




X* ANNO. 



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Partij II. Libcr llt . 

drict incs^atd:: ideo dixi^ lusfun cAnae/k» ^on felU ; ddhihendHmt^. 
Hdc tamen dUitudi difidntid luminis n$n cenfifiit in inAivifibilitJed 
Utitudinem habetx^ variartpetell\ fed\ut dixi^tunc varidtMrfimuLrar^ 
di$rumtrdieSifiiCkfig^^^i^flkf^^defigndtio. 
mefhMHi^ JE?/f cbiter obfervO i lumen non tdm accurate fmdfiare diiium e^- 
nonrf^i' ciumdcfignandi infUnjofiguram.frdJertimobUcjiueincidensfldneiet:- 
rjtmr %§9' iam fer pran^in^ rotunda , auidfingiturin figuras obUngds & otat^ 
r^^i^Tr prdcisi djfigndre patijt punctum 4juad exhiheret radim luminis^ 
jcru^u ojh ^^^^^^j^^ y^. fimtUbns praxiius^ n(^n rc^mitMr JcrufuUfitae ge$^ 
tffetricd. Vt luntinutfdieclio exprefi[hrfiat,conducitcperatiatumim^ 
ftituere in cubiculoMmninfi ohfiuro > omni aUo lumineexclujo. Ptdftdt 
^aidm papyraceum & perforaiumcjUndrum ejfe formatnmex chiurJo 
crdffaetopacd^utlumennctniraUceatmfiperf^^^ Artisarsip^in^ 
quit Betpnw ^ non folumfigndre inpUno c d l partes intercifno 
mdgihis proieBdiuxtdpartcs prototjpt « a quihtssprovenitmt^ fedetiatm 
incHrvdteeaa^odHcereydtque^interfecontinuareJeu mdlis^inter inttn^ 
mptas^pnrttstntfrponere aUquaalia Uneamentapartes ipfks continmam^ 
tSA ifive cum.tjs partibus Uneamentd ea confentiant yfivedi(fetotidnt,ai ' 
^spartibnsyprout:ars^ingenUimdocebunti nosjuprddocuimincx 
Amanuekfjkdgnan: Par.I^ cap 6. Pra^mat i. ineum praoipuiffmemt^t^ 
ifnagpdeformdtAmagis Utgat^nec agnofcipo fftt ab ocub extrd f^ecs^tt^ 
Jird^terea coUresaptlJiiperinducenJufiint. Cavendum tamen , ne fdt^' 
etrgd juperadditjt in AecuUm Jtrnuhunkima^ne radiantia pertjtrnent 
intaginis genuindm formams ideomoderdtdfihtoportet. 

PRAGMATIA II. 

^ometrice deprri^Are irnAginem m ^lanoyqti^imjft^ 

cufbcyUndrac^^ttfQrmA^^^^ ' 

CEqtien^praxis dtfumptaiciBcx: PetroHetigtn^otXmsuy^ Qppfiu* 
Vide Fig. '^Marfti»natPropofit9>.Peri[)^ 
iJfeQwi!: I' Imagpprototypaxlrcumfcribatuirqu 
M». «ifiicyiifidrAiuU! fiatasj^ CLA^Bi, m\mediQ plboi^ ftn 



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Ma^iae Anamorphoticae Pars l i 

quadcformaiKlaeftimago. II. Percentrum c ducaturred« 
DCP» ineaqMefumaturdiftautiaeculii ijieculo lo (puodum 
fobocukre vocat Herigooius»<}utaperpeodi c^Iat^isalK^ 
mifiaioplaoumcadit io Dj utfuppaoitur3& puod-umprmci- 
palc F. in* Ducaotur deiode re^ac da. & dg, taogeotes 
cirGQlomio|MiQ&is a & g; ducaturque pcrpuoda cootadui 
redaAG. IV. Reda ao dfvidaturiopartesasquales^&oume- 
ropares, XHf H«i«i sm, «PiPCidcfiatquadratum HPLC^cuius 
iiQgtiUlatera (iot divifa iocot partesarquales,iQ<]uot divi(uraeft 
qua^ranm protortjpo drcumfcriptum. . ^ : 

V. Hisfadis»c<mftruaturiigura srv ^^n cuiuslmagofa 
i^ioKbaceo (peculo fuper bafi a b a o cooftituto, fit quadra* 
toffl HF LQ. Ad qtiod prxftaodum,ducaTitur reAa: dh f^»D p m» 
indefi&ftsioogitudioisi & r^a f l «rfecaos rcftam kg produ;^ 
ftamad libitum io w. Erigatur etiam «rM/redas hat perpeodi« 
Ctiiaris,ioter(ecaos dm, ioM:6cabbocpuo^oducatur MiCt 
piralldt re&as h ?• Erit igitur m n ichoographia quadratt 

fi^ natatsgulusG A^asqualisaoguio t A^f8eaogu1usAi4^ 
'^llBgulo Kiv^^Scangulus 6o<p,atqualisaoguIo Ko^;6eafi« 
' [ f»a:q(]a1isaogulo o b d. Prarterea fumatiir reda a t as* 
iftat AF, & 1 4^ a:qualis t rt arqualis BiE^tco^ 

liso«;itcm A^acqualis AMlRis.' ••'i.i ^ji 

V 11. Jam fi conne<flantur curvis Iine!s, ccntro invcnto, 
pQO&asi<l^ T.^^^v.&punda ^&c cooftrudaeritqu^ntaii- 
'^fa^^tiv^z^ cuiusimaeo iocyliodfico fpeculo apoarebic 
efleqoadratum hplq> io pipraquaikataiiitcH^ 

V 1 1 L Transfer igi tu r i n fp a tia Figurar » « * ntju idquid con- 
Nntinquadratulis prototypi corrt?pdieM#HSMls^ 

lem propontam deformatam. £t fi fpeculum cyliil^' 
collocaveris fupra circulum c A Bf appare* 
' bitcadcmrcformata. ^ " • 

Xa ANNCK 





164 Parcts l Liber III. 

ANNOTATIO. 

A DimfiniendM f$at&d , ftr diui Ment U»eM eitrvaiHttrSm 
extremdt s v, *iiifterie£faJebetdttei<^geMMli Nf , &perfiM- 
0d» itttfuikmhac i»terficMtre{iMt> d e, r>»Predi$£t4erdMcidele»t 
fttrdHeUdd H f.&SftdMidiitterdi&dtfMrdSelMxi-fMnadhtO^t^iUkt 
trddaci im ImeM b i. oz ficc. fertkventdfwi^ddmtidebetu U»ed 
emrvd. 

P R A G M A T I A UL 



eAliterdeformare imagtnemm^lano , eandem^uen^ 
formare Jpeculo cylindrico conr^xo. 

pR«ce<len5 praxiseft omnioo geomecrica,^ fuodatur iarego- 
^li$ PerfpeAivasfc Catoptrica:; foquensoonitem, eamqueafv 
fart r.K^thMMfimK$tchitm\ih.xXMQ\% & umb. par. t.cap.^. Pro- 
pofit.ll. 

Vftfe V fr$tn^c\xc9k imaginf m daum quadratum a b c d diri- 

I i.konl^^"™ per lineas perpendicularcs & transverfalesin quotlibet qua- 
^i* .dratulaincerftaeqpaUa. ^rW^^es^s centro,inm«]n>plaDia(^ 
Vide Fig.^nnpto>fiatcirculus mon, cuiusdlameterfitarqualisdiaftietro 
iiiJcooiibafisrpeculicylindricL 7>r/i^>(emidiametrum so divideioopa- 
XI* cuor partesxqualfSf&in tertiaparte ppofito circini pcdedeficrr- 
betot circuk>s,quotltneastransverfaIescontinetquadratufn y 
lliagimcir€iimpoficum>nempe quinque in exemplo noftroi Pr»- 
mus circulus f e h diftet ea dtftantiS a rentro^ quantam refiexia 
infpeculumrufiicienspoftiilati quasproTaria/pecolansbafisreD 
jfofteniaculi altitodine varia eft : reliqui fequftes circuU crcfc^aot 
proportione^ quam babentioad ii. t^otetts tamen eofdcm cir- 
. cukisfiMfcrupuloefficereacqualisiourfediftanttar. ^Mr/^di- 
. vldatur circumferentia prima fg h Jn tot partes a^uales f 
quotdivilaeftbafiscD qu;^drati ABCD^nempeMciqqoatuor/ 
' relidotamcnarcualiquoab f per m n fn H^unqiram fuperfiuo, 
coius magnitudinem ufus & experientiadctermlnabi t txym ex 
centros perpuo^adivifiooumhnea: rcdasinultimamcircom- 

ftrco^ 



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W 9 

MagiaAoamorphoticacParill. < i^f 
fcreotiam i kl ducantur,habeblf figuramquadrato ABCDpro. 
porcionatam opticc, divifam in tbtlpatia, inquotquadrttuladi. 
vifumeftdiaumquadratum. ^iw»/*,inhaccigiturfpatittranf- 
fcr ex imagine prototvpa partcs corrcfpondcnte* . & habebis k 
maginem diffipatamiqua: tamen in fpccuhifupra circuium Mow 

perpendiculariter crcao apparebit cx grta diftan^ia pukhi* 
reformataatqms collcAa. , 

PR AGM ATI A IV. 

^Ai&m abter eandem deformationem ac reformk- 
tiontm fer cyttudncum f^ecmum geometri^ * 
ce ferfcerc, 

TUlOdosqul fcquftur, eft P.UKarfSemm Apiar. Progymi. 
''^cap. 4. Bipartitus critjunusquandoobliquiralterquando 
^re^infpicitarfpeculum. Vcrbaeiusdd. 

' 1. frit» circi imAffnem in fAffro ejUndric^h incurvai* dej$g»4^ 
tgmJefir^*tnr[vt4j[okntfiiforestrAd»Sl'nrimin»resinm4i0resit^ 
gtnet\,voca»t^cnuci^Xti<MesyreffMngnl0m KBy.cidm Iter* im i-Vide 
(j0MfMrtesMvijajH»ga»tttrre0iUneff,acJintfb$ra'minorareSfanffhulc^ 
, U intra prtmipaie reffangnlnm t^hducentiainmoditmretUlmefmenH %iu 
wclHfieimaginiSyVtvidesiiffiffira. 

JJ. Fajfjrus cyHndrich incnrvati erigatur adangulos re^osfti- 
iAratt^lUm,autteUmJtt^uamj>ro^ciendaer^deformatio\ac,frodit-' 
Vdi^u terfendicuUrihus dividentibus tater* A c, B D, nttentnr m < 
^UMofrbje^o fun£iajiveearumperpen£ciitariumextrema £,F,G,H,r. 
■ Hatetitrit^m funSium,adifuod caditperpeneRcularitabocuh t. (ww 
^ut^exira axem cylindrica fapyri , & eam (fellantc obBqui ) iit Juhje-. 
aKmfUnut^lf{Z4nt/ileJt^idfun(ium L. X igititr,ferfHM' 
llanotata -t^^i^rii, educantnr reSfamtix terminandd^ Nam 

III. ^deduilam L i deducantur ex funffet LyiC h dn» 
ferfenduuUres y re&aquidem lm if^ LK n^ualitt IN vero iffi 
I c ^ti^^^^^nttm^v. o aqualisi^ CB » N o infartesaqn^' 



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nS6 Partis I. Ubcr IIL 

iiSUtfdmficetm^Hquotfeaa erit <: b. 7ttnt^fem»nesKijij!^,\, 
y^fe^^ferticem n„ m deducAntur reBMincidentesipft it, w- 
4e»tiirfi^fuii3a incUentisrum t, v, x, y, 7, . Intervallit t v, v x,x r, 
TZ, fArii nmtero ^ 6- *'i>tAli'^ fingitU ftnguUt notemnr intervth 

/r. EAdemMrte^iinventdfuntJeiHonesin n ex kt, ddt 
G erigantur perjfendicttUres Liifji lk,g« ipji gk, ^ *pf 
^Jt dqMalesy&HtJufrk^tndijudlefpirtesdi-^datur K^, C^perSk- 
yfioitesedHcanturex ^ relid dividentes g*^ in »,S,«>ir,^ &^hu 
pera£ftfrperter»apiMtaAr,m,vi$, x«y, r * *. z^t dedttcatdt^uHt 
jtrcm (Hkcuiorum eccentricorum \ eritj^ rete feu reSiangulum ab cum 
farfialihmjuttreaangu/itprojeaumfiudejignatumgeometriceittfk. 
nohoriz,ontifaralleU,juxtaproportionesfr£cis}geometricaf. Ghtan 
fdnesimaginit,infirtMmre£languU ab eruMtetiaminfartikmn' 

fondentibmsnfUmohorizMntalii>rofortionedeiinea7tdd,froducenda, 
intercidenda,deformandu,vt videsift Figura, SijamUco charucj- 
,limdricicurvata eoUocetur^cuUm cjlindricum , rtformdbitureadet» 
Mgo in JecfiU»aff^ebttqitefrototj(fo fHoJimiU(. Pforcquitor 

HaHenits dedeformafronegtometrica,ciim tumen autocuUsohU- 
Htd^iiatcrtaem reBanguUm circa imafinem cylindriciincurvatam. 
Jnquocajuatiquanto plusoferainfimendum fuit,ut ferfe£ieexgeome- 
, jlriatdemonJiratUnibmfff^^^ ■ Um vero cum oeulufvetU' 

l^enfonuntitrin ajie)cylirtdxi^ej^ftiiatiofaeiilimA oferetionife'», Nam 
^nfU»o,uh defor^4tibpcien2i e'^J!imfto fun ffo arhitrarU, extt 
srcmdefignaturdmcirckltlijuem Jignatpafyruscylindrica orthogond' 
JiterereEla, ViJitin JecundahacFiguraarcw bc, atque ex ^arat 
eaf^rsfumitur, tjuamocctifat Utw, ^uodeHinferim &exiftmuiliie- 
^anguU circa intdatneM )ix p'afyro itrcumfcmti , Jitque eapars O S : 
ium D E dividifiirintokdcmpartesa^^ 

inferikytutoffoftumjufre^^^ circaimaginem in faMrt, 

^qutfereaspartesex 'K yeBaediuuntur\(^fa£ioeodem A centro, 
^^artt»rcircuiiconcertifict,e[uifecentre£tasex a eduHds, 

Caveitdumaherroreekfin^^uem factleincuUrepoJpmt^^-quiris 

OftiCf 

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Magias^ AQamof phocicx Faft I L \(3f 

^cas mtchdnice tdHtumymnautemfctenti^cemolsmtiir. PuUrunt 
rmMli^ui.latMs E F in utrdemparfes d^udleseJfedividenJum intierG' 
& fy inquotfdrtes dquaksdfvy^HmJit UtmdbxtrHm-^^elj^ 
reffanguli ctyca fgufdm in i^ylindrica papjredejcrij^ti s quod fa^meff. 
UamcnmfunBacifculorum f,h,i,k,g, accipiendaJimexfrojedlwMs^> 
fiveextrdnJttii:quemfaduntradifcorPori^lumineJij^^ 
axec]GndricoBocati,dum feruntur adfartes aquaUsJn^quds laterafer^ i 
fenMcuUri/p eraticufach^cafigurantdeftrhtadivi^ (yntfintauaem^M^^ 
rmm foftium tqnaVtum ikipres quideM^dcuh vicinififfSydemijgSamh 
veri r€motiores\fatetex6fticis,drex I^ofofifJLK^,^4iefuilonf,f^ 
inaquaks Jiftantiasy atqiiean^losindquaTt^ifartesaqHaltt^n^^ 
drf^^ci in inaquales.. \^^a tgitMr froforttoneiXS^qua artadrcnla^ 
rttmperifheriaincifientesa^nnBis f,h, i,K',Gi ifttti^fiffit Aftar€^< 
Ceantyjam hnhesinfi^ra frakisyracedentis-yiiifn^exobliqupfitu acalii 
comferimus geometrive funffa ternd ferquacirefekeccetitticifmfde^ 
dkcemM. Eamergo artem hucafflicabiriCum e fitadtreffodcu&qnarer 
cvradortm cortcentricorttm frofortionatksinterfefrdifitmtiasSxc iUe;< 

. A MKOT A TIP: !^/:,. / 

C o Bhemsins S^etfinidoSfrinam jnrofriisverBisdddu^iquo^ 
^-^tia qnadam fit & qMafixom^erUaritssfracedantium fraxium. Not$' 
efitamengeometrica Settinioferatio, ut ifje fratehditjedfere mecha" 
ni&,velfiliem ad exemflitm (jr imitationom me^hanica fer luminis 
trt^tffmneminfHtuta. Fratereaexi^a Bittiirifr(txi f^defornka>^ 
tio^nec reformatio Jiiri f otefiiegmma ^ quod oculits foH cjlindiric} cur» 
vatamfafyrumct^nfHtutttsradiatyUt cumAntiquislonuaj^ifercavajm^ . 
cpteiri JuferfHem^ ante eandem ver} conJtitHtw^adtatih convejCaml 
ExMrttamen ^atque exfUcat totumrne^otium urcun(ipr.\^qttee:c 
^pte^^ddtLFra^nMtiahuittscafitis^ 

A N N O T A/r ^O^ H^^^^ 
T^Jbaer tmtrratsts ha&entss methodos defortttantli ac refdrmandi iina^ 

giiKesjfer^cu&^ylinJrica,aiiamtrMtiitn 
itBemM^mt/joSfot^ Kjiddit^eifrdjttf^' 



t6t Parti» I. Libcr 11 L 

f0jitM^i$emUht fiB^rsm^MliqueuUikpeculim in/HtfitiiMjuxfscp^ 
mm$€s UgesMftitffid yfejfe frofertiondliter imdwines defdrmare , itg m 
deinde reSArefrdfentdtiemrerum emnino re^ondcMi^ Ferba ejm 
fnm. Ha6lenusquidecyliQdro(crip(erunt^illumicinpercoQii- 
deraveruoceredum, ic perpendicularitcr con(litutum»(alum 
quo^ effedum refledendi ipecies vifiTas. Nos primi proji- 
dmot jn planum ) 8c proponiihus horizonulitcr. Turpttcr do- 
formankur im^gines. Sitame&eacdem tmagtnesitadefbxinacap 
r^^fcraniur inut;)ukm,& io debita diftantta ponatur cybndrus 
y^rtsGaliter fuper planum *, invenient ibi imagines propriam for- 
mam>quamhorixoncaUsillalongiaid6diffiparaL^ Practcreaet- 
iam^conver(b res bcne fuccedjt* Si objcda repra^cntabiUa 
oftendantur cylindro verticaliter eredo, exficcantur adco^ & 
protenduntur in loogam^dt in illas verticaleslineasveilcvidc- 
antur transiformari» Si umen alicua huiusmodi in^ongum^ 
porre^t&enormitercoardata vultus repracfeptati6 cylindro 
proponaturhorizootalitpr jacenti,(ineulla (olicitudine,otio5^ 
omiliQo, flc jacendo reibrmflt* Hat^&alia ille) ^udfi Plato ajfert' 
tdifnork erederenhexferk^tia reclamante^ ad quam frovHo. 

C APUT III. 

Di Anamorfhofi Catitptricaper Jpecula conica,& 
^ - fUna angularia. 

EXdidisCap.pra^edentiPraemau 8c ^.colligitur, qua ra- 
cione organic« fieri pofliQt deforraationes pro aliis etlam 
fpeculis convexis »prxfertim conicis , 8c Ipharricisi eadem enim 
eftoperandimethodus in omntbus. Placet tamen pro 
Gontcisjfpeculis eandem praKiA 
repetere. 




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PRAGMATI A L 
Jmdgmem tn flano deforman^qiu m comco 

'ljgneocircumpofita,deptngetmaginen»quatncunque>po(i 
oculo io locoanteconum fixo» ut quantum fieri potefttimtgo^t t« 
appareatac fi in redo planoefietdepida. 

IL Perad£pidur4,r9voi?e|nfcatilemaaniimiligne0,A^ . 
itnagttiem in plano eKten(am acn vci ftylo fecund ommataiK 
pra^cipua iine^enta perfora » uti iupta loco citatofieri prasce^ * 
pimus. 

III. Hocetiam peraAo, pltcatilem coiramligneo iteram 
circumvdve « ut coni perf^am formam induat. Exanpto 
dcindeccnoltgoeot&ferc^aconi plicatflisparte mie, fatid^» 
lam intus ponci ad libitum elevatam >&^emotam s & cum radii 
perforamina cribrati coni tralucebunt in planum fubjedurat 
Quu radiofum vQftigiat& |umeaduclioeameou»acfinge^^ 

{;eque iiiiagtBeaVf<|ua^uidcm fiotoCypoiboxxaDitio ^mi* 
iserit 

IV. SpeculuraobnlottmTeiexfelenkicofbl^ CXCOtt» 
&m oitOura coofeduin plicacili omiiiiH) «quale,ftataeeo ' 
Ipco antv-iniagtoera diffipaMin «quoplicatile illudftabatydqia 
iQminis tadios.tfadfmittebat i & appatebit ioeo imi^^re^. 
mata. 

PR AGM ATIA II. 

rim latcrum m ongtMmfihdumtqeun' 
tmm ^flltgere, ^ 

t/Ideqtue At iMcPragnMtiaicribimus infH Libro^.in 
* Ottopcriai«par4uSymagniate4^iopofitionc 9. 

• : Y LIBER 

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Partiil. Lib. IV. 




LIBER rv. 

DE MAGIA PARA- 

S T A T I C A, 
De prod%io&s rcpraerentationibus rerum 

PROOEMIUM 




J 



Vdere fuhindc J^aiuram , nsfiristL iUude' 
re pn/ibMy octtlrs frafirtim, provtda ahoaitm dc 
^ ^^da Mater,_mtrHm "viderino» debet,ciim tp^ Dtui,. 
O^urdAuBort \\x&k'tii 6rbe terraru m. Ludit omninOy 
tfHbiStimki 'i§ t Ki ^fm ^ AriM ac frodi^Joirmm forin 
0ajes ac reprajeatattones , inaere, iiiaqiia,interra,,mm9nti' 
ktu,rafilnu.,pixity rebtu diisexhibitae \at^jinenoxa yimo cif» 
fiinoremaximoeorum qmbtes-tlliutit^ *2>nm enim mir^Aqit^ 
dam rattone omnibnefire in rebns^aria fingit de finfft ^ 
mtUachra, quem in areana remm refraJHntmonrkodum tene- 
udebeamniimiin^mt, Hinc Ars^ UitturafimiaftotexcO' 



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MagU Paraftatica» ^ i^r 

iigitpiJtmtUbtii 'vfk reprafintatiomhfiiytxhihftdiJj^Sfacitla, 
fervarias litcis O* umhra mifltones,fer Catoptrtcae refexiones, 
refraSiones Dioptricaet arttfictojae radtornm opticortm dtre^ 
Rienes. Hinc Paraftatica ^rttim haltmt ^agia^ qua nth'ilfmtt»6t» 
atittd efif quam ea recondtttorjcientia optica » qud JtmtUa exhi- ^tiSic. 
hentHr ffeUacula. Certe hujus artis ope nuUo non tempore 
miraprafiitered^iineaperitiifvelciim famafi exijlimatio^ 
ntihona jaUurh fimperitorum^el infvidiSt/velinconJideran^ 
tU. hfujue Artis ope Kogerim Baccon Anglue Jeje q u o n dd m 
fer <vmhram propriam diJcipuUs remotis cordm exhihmjje fir" 
twt. EjMsdem Artis ope Arazfl Arahs derepente ^veUtt ^»p„^. 
tbeatro qetodamyqiiidquid JpeSiaeores yeHenttproducehat. Ter <» 
em *^dolpho 1 1. Imperatori, ^veUa in Jceaa quadam , omnes 
(efaresdJuUoadCarolumy.reprafitttattferuntur, ^ira 
nmantaUj de CorneUo Drehel/tOy mtra tpfi de fiipfi', qua hujm 
Artis ope perficere pcjfit, •Ajunt eum fidentem in concUri 
mutare fi potuijfi tn omnis generis formai/Protheiinftar, in^ 
imequenunearhoris^eciem^nimcUonis/vrfifequiif^cmiii-- 
(MHque i^eUet animaUs.\ comparere ofefiitum hotojerico Jerico» 
yecoUtmm omnium, mox regto indutum hahitu^oxmendi^ 
uhulorum centonet terram exbthere ingenti ruptam hiaiu^ 
fieSraque en^ttentem nuhimif^gantumtTrittcipumfKegum 
fecie. Non nego aliquos maU Damonis ptaju, Uicriauthu- ^ 
mampUuJue appetitu ,Arte hac ahutipofi /n propriam 
iltomm pemictem i fidhoc nilderogatArtis excellenti^e ^utinec 
dimumAttiumacScientiarum ^lendorider^ maU 'Vteu' 

Ti tium 



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^72 Partii I. Lib. IV. 



vJusm^ '^* codocDim ,feu aCre, prxtct varias fmpr^ones mc- 
iMfd^. teordegicas,ut:((mcyariarum^FmariimGonict«,trabe$rcru- 
tes^ariasquefigurar igDit2,baIbncs> parebarcapf ac rafeancesi RtU 
cadentes, fitiilia^ue mul(a » apparen t fubiudt exercitus iote^ 
gri^pf acLiantium.concuifus, armerum folgor,& (imilia afia, ordi- 
aata noa rar^ ^ DEQin maforum >tumurtuum civilium/chif. 
inaturo>beIlorofB,cacterarumquecalamitarumprat(agia)qua:& 
^ir^«»r« it^ ATi^ graciyhttiii psodfgia^oftenta, atqueportrnu 
afpeltant, magnoque Dumero Itg/^^podLyeo/Hietftm^t^ldri^ 
'usndumy Gefne^unh CorntUHm Gemmmt,Tyrdum% & afios.. f n eo» 
' ' dcm acre, ccrtis^ bcisac temporibus, admirabill quodam lucis 
temperamento^ veluti varia colorum miftura,tauta indufiriadii* 
irerfaruni^Krumiimuliachra dtpingit,acveluttti acireu eculis 
ceprasfentat, qttiulUars humana.c6 per^ingere poflevidieacur. 
In mon tibus ctiami, ic pra:ruptis rupiumcrepidmibus» >in fylfx- 
rum anfi^acHbus^,. in animalibus , pfands >.ac lapidi bus, non fioe 
fpe(5iSantf um admirationepariter ac voluptate, (imilia effibgit. 
Nos pf inii»onMffisjdettltiniis ^haitbusnoonulh hteto medkii» 
grpfbrcmus^. . - ^ 



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Magia Paraftatica^ ^ 

P ARASTASIS l 

T)e^::Pl^CorganaRheginQ^^ inFreta Mamerti^ 

nc ^ alusqkf J^edris d Natnra fiSlriee in 

yafwofoderee^Qis. 

UO maximi tcmporc, tnquit P. i^thanaJtHs Kircherm Vth. lO. 
^'^Artis magn2&Lucis &llmbrar,par.z.cap.i. Para(l.i.quoardcfiK x%m#* 
tiflmitisSol asilu fcrvoribusquc MarcMamcrriDUrecoocoquh»^^^^ 
Natur2 incxhauflas pr^oriaD flipelfcftilis (\ix divicias apcricn»»^, * 
eiprxcipueMaris tradui.quf Rhcgio» vctuftonon minils>quj^ 
vetcrum Philofophorum Lyc^ts Acadcmiisque cumprimis C9* 
lebri Ca^briar oppidoiadjacct^acFrenim MamcriinumkuSI^ 
cuiuma4>pcllatur,(ubtndc^c^aDdasctponit Contin^itfOim» 
ut mcmorato tcmporc dcrcpcotc thcatrum quoddam m yapro» 
roaerefc<eapcnatitantdrcrumvarictarcadomacum»taDtokd» : 
narum apparatUi ut oihjLfcr^ fit , quod ibi non fe fpc^taodum ex« 
hibea^ Videas ibt cafleiroriim plurimorun» ordinatiflimi div 
(j^cotum fnagnificentiffimam^ arcEitc^uram 7 paiatiprum,. 
xdificiorumquc ad omncs pcr^cdiva? rcgulas Eoricatorum 
multif udincm. Videas in corum pautatim cv^ciceatium lo* 
ctm fuccedcrc infioiram corumnarum longo ordine, aic mira» 
fymmctria dt^oficarum numcrum^velut in fccnacatoptrtca ex* 
fofitore. Vidcas tunbrofos ryivarum tra^us » cvprcilbrurn> 
ariaromquc arborum t tn qujocunccm mira (crie ai/poficarum 
ofdinc5>campos immcnfos, hominiim turmis, boumdrmcncisj 
ovfomque gregibus refcrtos; omnia tantl colorum^ varicucct ^ 
Qmarctfkipsafocis&.umbra: millura>catirvi vis gcftibus^octubil 
llumanajnduftriafimdcproducercpoffevideacun Vocancaiv- 
temXheeini hoc (pe^acurum,Jl/^r^4M»i; 

Pam6 ancc budacus Kirchcrus, cdn^annoj^3tf.Mciranat 
peraltquotdics morarctur com Sercniffimo Ha(fiae Landgra viajtf^^^ . 
sridenc^^nunc S. R . E.Cardlnale EnriincnnfSmo^aMCi^ ioMcti- mimrMm 
tiStkUUuJ^ profeduruxi» comkabatur, muka. prddfgiQfa^;^^^^ 

Y }; hujus. 



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Goo 



*74 PartwU Litcr IV. 

iMijusmodiParaftafi Infeellexit abejusUrbisincolii. ISt igltiir 
^ ret veritatem penitiu comperiret» Kliegium fc coptulit.non pliks 
' . duodecim millium pafluum intervailo diflicum» treto Mamerti- 
€io interje<flo. Ibi chm mulcos c peritioribus Oppidi incolis cir- 
•caliocNaturarmiracuIum confului(Iet,abomniDus iufeferem 
haberc. ut refcrri audierat » cognorit. Quare utfolidiiks circa 
.Natur^ prodigium tam admirabiie philoibpliari poflet, omni 
iiudiofitumlocif naturara ac proprietates terra:, vaporemma- 
.ris» ali^ue circumja^entia locatunc quidemobfervavitiatrei 

" / eventumocuiisfuisinfpicerenon hcuit ; uti necmihi >diverfi$li- 
cct tcmpc-^^ "tMcflanx^ Aono vidclicet i6iy 8c iterum An- 
no 1 651. fuenm commoratus > raro enim admodum prodi» 
gium illud coptingtt. At Roma: cum morarctur, Iitter« aflt- 
runtur Rhegio datx adR.P. LeonemSandium,Societatisno- 
ftras Virum (an^dodiffimum,&fcriptishbrisnotum,altiorumqi 
4t;udiorum in Collegio Romano tunc Pracfcdum ; in quibus lit- 

^ 4mi P. Ignatius Angeluccius eiusdem Societatis noftrar , teftis 
«eicculatits, rem tocam eleganttfCm^deicribit Italico idiomata» 
quashic fubjicere,ut apud P.Kircherum loc.cit.reperiunturypla- 
cuit*. Sicergoait. 

MOLTO "KEVEl^ENDO IN C^^l' 

umr», p. T A matdiu dell' Allbntione della Beati^ima Vcrgi- 
^J^^J" JLrne,(faitidomi folo alla feneftra,vjddi cofe tante,e tan- 
xST noove,die di rijpenlarle non mai(atio,e Oanco. Parmi, 
mmr chela Madonna (antifiima facefle comparire in qweno 
Faro , un veftigio di Paradi(b quel di , che eda vi entrd. 
Che ancor i'occhio la su h^ > come i'intelle{ to , lo /pec- 
chiovolontariojoueveggacid chegUpiacr,(]uei<:hebo 
. yilloio*,poflb£hiamarlo(pecchiodi^uello(pccdiio. H 



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WagtaParaftaticai t^f 

UiTc, che^agna la Sicilia, gpnfid , e diventd per die ci 
inigtta in circa di lunghezza, come unafptnadi monta'- 
gna nera r equeflo deila Cabbria (piand $ c coimparuein 
im momento un criflaLIo chiari6imp , & tranfparentei; 
chepareaunofpecchio, che con U cimaappoggtaflefii 
quella montagna di ac()ua,ecot piedeal lidodi Calabria» 
I In^uenofpecchio companie (ubito dicolorechiarb 
fcurouna filadi piudi ioooopilaftrid^ugualelarghez- 
altczza^tutti equidiflanti} e di un medefiitfo viviffi- 
ihochiarore, comedi unamedefimaombratura,eraBO 
git fondati fra piladiro epilafh-o; Inijnmomento poi i 
piUftri n fraezzarono dialtezza, efi arcuarono in formJi 
di cotefli aquedotti di Eloma,6 delle fuHruf tioni di Salo- 
mone; ercft6.(empIice(pecchioilre(lodeU'acqua,fino 
all*acqua ammontotiata dt Sicilia ; ma per poco ; chc to* 
itolbpratarcatafi formdun grancornicione; fr^ poco 
^opr^idekomicione fi formaronocaftelli reali inquan- 
titMifpofti tnquella va(li6ifiAa ptazza di vetro, e tuttt dl 
tinafbrma,.e lavoro rfra poco defli cafielii rimaiero qua* 
titaditorri tutteugualt: frs^ poco le torri ficamblarono 
iQtcatrod&coIonnate: fripocoilteatrofiftefe, efecene 
tmadoppia fuga: fra pocolafugadc*coionn^tidiventd- 
bng^ifsima facciata di fene(fre in dieci fila rdeilaiaccia* 
virieta di fel ve di pini,e cipre^ ugualt»e d' arbori» 
^ui il tutto diiparue , e'l mare con un poco di vento ri- 
^mQmare*. (^e(laequeIlafatt%Morgana>chevcnti(ei 

aaaik 



tfi PartUI. Lib- IV. 

anoi h6 (Umiitoinverifimile, & kora h6 vffto vcn 
bella di quel che mi (i dipinfe. Di que((a hor credO|Chc fi» 
ycrotcheibgliacomparire in varij colori volanti piu vir 
vi^ bclli di quefti non ba l'artei e la Natura permanente; 
pcrchechiaroo(hirofimilek(]ueAinonviadimaL Chi 
rarchitetto» echi'lfabrofia>econc}ual'arteemateria 
(Umpi in i\n punto le varie e tante magnificenze , dcG- 
deroche Voflra Reverenza me 1' infegni > chc vive fra le 
vere magnificenze Romane^c contempla le veriffime di- 
yines mentrereftopregandolelddio (emprepropitio, c 
raccommandandomt a (iioi (anti (aaificij. Oi Reggio 
a2.diAgo(lo 

u^nf^ Haios tam admirabilis phafmatis hanc alljgnat daufam JP. 
Kircherm ioccic. O bfcnrafit montcm i rcgi odc Calabrias noroi- 

^^^l^, ne Tmnam m;^is » Rhegio oppofitum , nigro quodam tradu ia 
Pdorum dclincrcilittora vcr6|Uti & fundum maris»roultamgla- 
rcam,{ivc arcnam cxfclcnitc, antimonio, vitr6> aliaquc matcria 
pclluftri conflatam » ex vici nis montibus » didis mineralibus re- 
fertiStdevolvere. HcatcnxintcnfiifimoSolisadore uni cttm 
irapore iorttbiimecxaluta:, diverrasSc variasfupcrficicsinaere 
ronficiunt , ac craiffioribus in mcdio vaporibus i montiquc oppo- 
fitis, umbrofo tcaAu auafi ppacatar , inlpcculum pblygdnim , o- 
mnibus numeris abfolntiffimum > tandcm coalcfcunt In hoc 
gtturaiireofoeciiioivariura ad ocuium iitum habcnteyvariaqoo- 
que rerum lubiedarum fimuiacra rcflcdun tun Columoanim 
artificiofa ferics conttngit vcl cx una colunina tniittorc conC^ 
ftcBtc» qux in infinitamcolumnartmifnultitudincmmultiplicl 
rcflcxione fulkra£rcofllorpcculo £)daabft ; eadem proriosra* 
tione f quarel unum fimulacrum inttrduo^ccula rcda fibi op- 
pofiiB» ittfinitam intradi^ (pccula^imulacrorum prorrusijmi* { 

lium 



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\ 



Magia Para&atlca* 
IwiB miittkudiBeaireflederevidetnus»udlii 




vn 



leqyeoti V 1. Librofufi^s ofteqdttur. itaiuHiitoaa^yafi^ io. 
tra/pecuUresiiubiumiuperHciesfjBpiusquercHexustexerdcai^ 
^emouArat. Jdemdearbonbus.fecQribus, aQimalibufdiceo- 
duin.Cur vec6 columaisfuccedantatiaobiieda^ veluti ar4>orun\ 
caftdbiiim>aDimaliuravcaufa eft,qu6dctim ooulusaofteraddi» 
veriasffieculares ya|»oris perpecuo ^obilis fupef<fidesdi!(«dS- 
mod6feiiafa«aac,iiac uc iuxc^reguIasaDguiorum inc>dei^ia^4-e> 
flcxi«ttis,-rcst|uoque4iverfie iub*diverj icopftituto »)guIo vide> 
antor, proucfp^cularis vaporis fuperiicieseasioocuiosre^flexer 
rint Nec vcro miKim alioui videri debet , qu6d (pecularis ilU 
miAuz areoofaelevari a Solis^alore poiCt, cum 4;onftec api^ 
MeceocdQgicos^SoIieim^um ▼aporesallicii^iina/eoumdiveriM 
tecuRHnateriasiaalcumCuble^arefoIere i ^uod ex«o conHax» 
Qpia^cingraDdinegiojs^reperiuncurpill, paleae, 
fe(Uica:4imilesque<quisquiIiae ; -quc fanenaanifeftaindiciafunt, 
Masrestini c^im^apore io aerem elevacas « ibidem vapori %i 
%oris«0AcretO!f^mnuicfiq4 tL kerumiia^ierxam cum erai^ 
Aedc(cen4ere. 

£xpll6ftci^adenu$ pihctiemenimcmiqiflfrquoque videtur 
Damaiciusan vita Ifidori Piiilofophi apud Tho^ttm , iiisverljis. 

^mtfidies, SiroiliapcEcerea ipe^fcra videri Ncrici interioris A- #«5. 
Nk airtcate , narrati:»/» ^/«««c^iWinDeforiptioneRcgDi 
Kci^litanijtoKiiy. Italico idiomate , liisverbis., Peidffrefifi 
MmJi^^tNMrd» y€ittkmeit»Mitietid4i:eilom€»deft4Neritiumyk 
Vi d fhm it4s 4vUtin€iaitf«ftd»fi^. d»u€jimfg»n»jpe(f».i»iert]f»gi. 
«Mfc i-v*i»ti\jdi^r4li, qiufiin fvn*^ecchi» tnJfsmeimAginidi/itteBe 
f*^4tkf»mMffi»fMr9»» Uvtigotchenone^nmfceUcti^Ajt-imfHtAiut 
^t»ned»M,h»lic* ; jtHuenenda »ffinc»ntr» ferU Mf^i^pieneJelUtgt» 
*t»g»»edeJt.m0^r€h»^ingr»jj4ferUf»ner£hUhumii^ CerneUm 
WfiQy^iih. i.f iul<|fc^hMe pccult« ait : Mtntsyidemttf^Mod* 



Aufir» 



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I7t Partif I. Liber IV. 

Anjir^ fldmtederdenfiim m Pmuesnubes^ inqmhmvebitinfiecMhfe^ 
fiedtuntmimMfinesvMliedifigntei eMfirernm^mfntium^eqHer^^ 
hominum%&Ali$rum rerum\quude€eietihm nuhihm mexevMnefiunt. 
HacracioneiDcelligcndas poucAthanalius Kircherus yari^^HU 
ftorias vetenim, quas camen plerique uc inania hominum 6^* 
mcnu cxfibilanc. Referc enim PemfoniustJl^eU > in MauriuQia 
rctro Aclancem regioncseile^y in auibus circa meridkm intra 
monccs varia (pedra comparcrc foleanc . qux gcftus hominuni 
in omnibusaemulencur, iuuc videas ibi choreas» audias tuba- 
rumytympanorumqu^ftrcpitus. RcfertquoqucP/wM;,intra I* 
maominicythiaregionem efle, inquaqiiotannisin vaftapIaDi- 
cicappareant varia fpedacula rerum fub figura hominum , aDi- 
maliuraque, & in ftar cxcrcitus ; quibus viatorcs non rar6 in avia 
Ccdevia pra^cipitia ,acdeniquein manifeftampcraicicmdedo^ 
cantur. AdflumcnObyrefert//4//A#4r Armenusregioncmeflc, 
ad qtiam nuUus adhuc penctravcrit, ob formidabihurti (pedro* 
rum, quarex illa flumioispartccomparciit,multitudincm. ibi 
auoquehinnitus cfquorufn, balatusovium , hominumque vpd- 
tcrationes audirl frequcncifsimas ceftacur JtauthancOiabolo- 
rum regionem exiftimantes , horroris caufil ncmo adbocccnta- 
verittluimadire. 

Quacquidemomncsrccenfita: hiftorix, fubiungic Kiircbe- 
rus,pernaturaliailla phafmatain vaporofoillo vitroceufpeculo 

2'uoaamexorientfa^ optimc (alvari poftmt. Fieri cnimpoteftf 
tum, naturamquclocorumtalemeile, qualcminFrctoSicult 
de(crip(imos , in quo certis anni cemporibus vapores vitreici^ 
^ati ceurpeculismooftrcot horrendaillaphafmau, ouk^t^to* 
peretimenL Nequeenfmneccflari6 vaporcsmarclibilubftra- 
cum requirunt» fufbcit natura loci vitrco vaporc targentis.0u6d 
vero varfas anlmalium voccs audiant , id per voces animaiiujiB 
vicinorum in conc4va riipc,autmoncerc6exaficri poflc,nidluai 
dubiumciTedcbec. 

Hacconania confirmancea, quxdcIocoqoodamioQttita- 
flfitsms' mdlcnQRegnoKmcti^mttknHmeru. Alfrcoiffli culcuaildtii 



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. Magia Paraflatica. >7# 
«MuiaMMMhie Aoa7x^|.eom bcoTigeo 

/uin^fifle,quddibusaiinitefnporibusid<^ni illudceu Dewali. AamSI, 
<|ois io oube compareretc^boroquodam Oeaftrorum ftifacum. 
Hoc autem aic faxSc illud iplum idolum.ad vicinum lacum quoc 
aoois fumma lodor|im vencratiooe coli folicuro ,accerto vapo- 

relacieedemcemporeemino^ceulpecoloicumomoibusprorr 
tu circaroftaotii5,& ceremoniis adoratioois,quibus ipfi ucebao- 
tor,rc^arleocacum.Iodos aocem Natur^ ignoraoces myfterfonv 
adhoHirmodi culcum (liismec h nube incumbence reflexis imagi- 
oibasexcicacos, Oeoromextftimafleapparitiones > acque adeo 
Diabohiffl Nacurae opere ftupidis mencibus miferi impofuide. 
/dojomaucem.moxobiik PP.Oomioicaoistrausdecedafuicex- 
C^m, combuftumque , tmpofterum didoloco comparere cet 
iaflec Hoc eodem errore pucac Kircberus deeepcos fuifle Pa> 

ftocesMauricaoos, qui dum pellibus fcriois induu,ac tibiis cripu- «Mrfw 
«iaoKes, ieipios inhuiufroodi vapDribosvidereot/fiimamillam 
i^HMlerunt , quam deinde Geographi pro vera accipieotes , Saty- " "^!^ 
rm iL Sylraoos io di^a Maoritaniac regiooe ftatis teroporibus IHT"'^ 
oomparere falicos,cum bcuis ac cibiis choreas agere, pofteritaci 

ANNOTATIO» 

^^m» d f me4Mi»v4f*r0fiMereee»^iJfirefr^truridMitm4t,d^ 
- -''^^iMmdeexemvlucenfrtHMt.verteffeexiptnoM^^ 

\,mimfrmdejcrAitur kJkfrA cit*mKuUt$tefie P.lrtiMtieAmge' 
ffirHiik Daroafcio JS^cfiThoma Fazello,4&. 

MMir»mSicuUrMmScriftererefertmr Decadt\M, u C4f, i> 
Met» Sed at^alia io eo Freto resniira A-equebter appa- y^j^ ^ 
lyoofl Mtigatoturbioe^quietoqueagre, clrcadiei exortum»AlII»r«- 
ipitaairora, Tariaeaoimaliorohomiouroquefotmasio^ 

«■fcid cerooocur, quaruro aliar peoitus imrootae ftiot,ple- 

«Bfpevdteafeedilcurroot, veltoterredimicaoc, qu6ufqueSo- - 
J|iicale6m»^Qofpe^enpiaDtur. Harumf#M/«vLib.de 

Z» Rek 




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Go 



lio Partfs I. Libcr l^. 

jLcb.Scifl. & Aript, Uh. deMltabil Aodition. 

Quarum etiam h^c k Philofophisrcdditur racio , quodculti inijs 
regioaibt^Srfo prxfertimteinporc^quobxc ccrnuntur, ventos 
imoAiBilm bon fpirarey aute^ilcs admbdumy & aercm quietum 
ctfeConfliet^nipfoa&cdenfoatqueobcufodiveFf^animantium 
cfficiantur fpccies , quibus fbrmam agr, qucm ccnucs&leves 
quandoqucmovcnt aura? > varrara pracbct (qucmadmodum 
ftatcinnubibus ficri vidcmus)quamtatidem Sol incalefccns in 

-Bjf§BrM: m vcQtos rcfolvit Damaf dius umen leco fuprk eitdto phdjmata ilh non 
inaereformarfipdJpeffrAe0:fiiiMi^ vmbras.^vt apfeUant exp^ 

^^**^ l^imatiVtpatetexprepcexverborumajntextUyqui hie eft. Commiila 
pugn^contra Scychas antc confpedum urbis Koma: >quos Atti- 
lacontra Valentinianum , qui pofll Honorium Romar impcra* 
bat,duxlt,tantautrimqucfj<9:acftcafdes»utnemopugnanthim 
ab utraquc parte fervaretur,pr*crerquim duces , pauciquc fatct- 
tites cor&. Hoc vero omnium narratu maxim^incrodibilc : cilmm 
cccidiflcntpugnantcs, corparc dcfatigati ,animoadhiK:eFefti, 
pugnabant trcs intcgrasnodcs & dies , nihil viventibus pugnao- 
do inferioreSjncquc manibus,ncqucaDimo. Vifa: igitur,& audi- 
% «araQimaTumfbrma:pugnantes,8c armisftrcpentc5,dc antiqaas 
llmilesquc bcllorumf^ciesinhuncufquedicm videri aiunt, otii 
<ju6domnraiHafacicndo,qua5 vivi homincsbcllandbfolcnt, nh 
patvam quidcm cdcre voccm poflint. Er uoum fpecflrum qui- 
dcm vidcrr in campaiuxta Sudam,quiofim palus fuit: vidcrrair- 
tcm imanc vifionem, aurora jam tcrrain iliuftrante. Sccandom 
in Cubis campo Caria^; ii|^nim non quotidic,fcdinterdumaii- 
quibusdiebus,nec illis ccrtis, circa crcpufcufum matu tinum au^ 
roraorrenteinicrefrcquentiaanimarumfpedra,umbrarumft 
gura,interfepuenantiavideri. Pojteaphiungitverhafupraallata* 
& noftra tempeftatc, &c. Sed ifuidquid fit de tUis JpeHris circa Ri- 
mamafparentibufy (i DamaJcio,vel potiiis iJjdoraPhiidfipBocredimusy 
qudin Freto Sicuto interRhegium ^L^eJJdnam fihihde videnfur non 
^iBra fiintyjedvariarum rermm imaginesin vaporofoiUoaerea Natih 
sa^^^iktociactempori&opportuniHteyeffgiatd^. Etforta^httiufinoii 

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Magl» FaBaflfatica;. i8v 

m^f.wbeaff4rercfrt£piinter narrsbMtur^ dumRemMdtgtrtm. Aier ^^^^ 
bdnt£nim,wdtrhn vaMt q^uaddmmiliitmn ptfftdntiumdccircumcur- 
fiiMtmtJ^teies dk ckrifftmo^yt^divtrfiseeuUtostefitiin mediumfrth 
ebicehMt^ ^umres eumsd P. t^thanafium Kircherum delaiafmQety 
if0ns^ dt tot^udi&um rte^uifitum^ diligtntij^me in veritattminquiren^ 
dnmcemfiiit. Tamrinum igiturfiriffit adquendame Secietate nofira 
frtsbjterum^ftbinetum^regawt^vtieeumaccederet^numif^ 
sbdtbisv^a mderefiojet , tentaret. Fect^tipiodju/pmifuerarPater^ ar 
mMo i^^amfto fodoespmmconfcendifft^amanead meridiemvj^ue obe-- 
efsMamkhcAomnidi aba&A fibidefignata^hitvUihidtfrehenderefo^^ 
mdr. iMcakJeente jamigiturveken^nterfokrtditumfaraBatcumfi» 
emttMmeccein fubjeHa valle videntmiUtummisrnfulosinterfeconcur^ 
(arttes^ SeeimigmrferterritmjadMusequocaUaribmattfugit. Pater 
wof/r^fiusemntijuoatctjfit, vidix^contrdfetxftodibonAardas^tSr 
ex^oijm^duipitatm akquamdiu exammie jacuit^ doneerefumptis vtri^ 
bmfi^tfjefifrorifuit , drremtotamadKircherum ferfiriffit, qui in: 
Mtmuiafii^ fiibttrranfOyquem jam molituritam difiutiet. 

Cmteriimfhanomenen iKmdpukherfimum^ cfuodP. Tgnaittis 
gthitcmivii&e^ non in airtfidinaquaaffaruit^ vtt exiffim Efiftola ij^^^^ 
iptet, Necver^fotu^ttmjiert inconfiantt tantartrumvartttas^taminjurt.fod- 
emsmme^eerdine i Un/Meolormft^varittatt fuichyitudine, tam con-*^^^^ 
ftmeeroffarere. Poiuitautem in aquay aqualiter in FretO' iUo extenjaj^^*^* 
Itmiter 'uerfmSicilialstteraaffurgtntt 9 aura fkbtHiffima varitcrij^atay 
e^emAudum fo^idrum mfinitarum rtfitxionum cafax tfiormata. 
JtepteJbKteafa&umeffi, vtcrtdam^difiicuttattmmiltamhaJbto^vtiiui 
imthtMitmram dtcovfiUutiontm frohemtam habto^ 

PARASTASIS IL 

^BevarmhtMgmihtfat J^furapidfr/ce in la^ 
pdihtu^yfUntiscj.tice^ormmtis\. 

[N^ammBmetitium geneta Naturapidtrixhnperium (uumcic- rttt^i^ 




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Goo 



T8a Partif L Liber IV. 

Arti/ciKcetin lapidibii5,plaiitis,afiifiMlibiisjMf^ Steg^* 
la percurrere k>D£uin oimis foret; pauca ergo de lapidibos 6c 
plaotis bk aoootabo,alia alibt dabo. 

Tria (uot imagioum genera lapidibus k Nattifa tmpreila* 
jl^^j^ nim. Primumgeouseft<urumimagfoun,qua(inyeniuQtttrio 
imfp^ lapide quafl coloribusdepid«,nccexaratatjQecfiipereumele- 
yztx. Alteram caram quas eleTatae funt fuper lapidem qua£ 
epere exduforto. Tetfiumcaramyquac exarantur in lapidibusi 
detraiftisquibufilamiapidispartibus,quibufdtm ver6 reniaoeo- 
ttbus. kSemJlkerimMsfffmUb. i. MincraLtrad.5.aip.i. fevi- 
difle Venetlistniiiarmore Mbo depidum pulchertjnNimcapuc 
regiscumcorotia, & leoga barba. 4dem ibid.cap.t.a(rerit,Co- 
lonias in arcatrium Reguntefle giinimam Onychinuro , habea- 
tem ladtiidinommatiusutitusbomioisySc amplius, fuperqu^pi* 
fta efle diio capita jityenom ataUGma,quibusad frontes capituni 
eft ^guratus n^rrimusfefpilis qui coUieat capita iila; inferius 
^ aotemcirca tnadibulamonseftcapati£miopiscumloi>gabar. 
baoi^errimumilciituslocollotceromeftlapishabeos coiorem 
iiDguis , qui videtur eSe veftimentum decoratum floribus cira 
capiu ; £c addit p totam hatK imagtnem cfle oaturalem. Iii 
Maosfeldico Saxooiat Comitatu prope Eislebiam eroiturlapis 
iii^er fiflilis,qui excodus igni ass fuodit magnocivium & alio« 
nim incolaram lucro. Lapis ifte fiflus in fcindulas^varias reprar* 
fentat formis pifcium, aoguillaram,ranarum,gallorum4|uoqiie 
gaHinaceoram,fic Salamaodrarum, dardaieo Natura^iflcioi 
pnefertimverdeomm piicium fbrmas refert>qui in viciooiacu 
amoliffimo reperjuntur,umaflbibri atqueaccurat^,utdigoofce* 
re ungulcis , & fuis appellare nomioibus poflis. Novi mulcoi^ 
qui lapides illos 6c figuras videraot, inter quos IlluftriflimusCo» 
mes jiGronsfeld.omoi doflrioxgenere oriutiflimiiiVir,ionr 
lapides fllos fuifle inventosduos,ac Cacfari obIatos,qui blna Pla- 
iiifph«ria,Aftrooomicfi»&Geographicum, imprefla habebao^ 
cum omnibtts afteHfinis,circulis,lineameo tis, regionibus ,ea ac- 
iNiraaoae diDlincatitiCadivifis fymmetna^ut niliu accurati^s vei 

a/ujs- 



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l 

MagU Fartflttica; Mfy 

^ifmiiMMathematico pnrftari m genere pofBc AMiim - 
qooqucfuiilerepertomtquiex iraajparte Pootificisformaincum 
tribus t]rans,ex aitera Mardni Lutaeri efl^^em exhibebat. A U 
ceritisPontificis fpeciem referendsmemio^reetiamCernMnis 
Hiftorici & Geograohi« 

Refert jitem Rb$dAm Arabs^libro quem Niftoriara bLpidum 
iofcribit,Suefii(quod Maris Eritbrjetceleberrimom emporiuiiif 
eft)AftronoRMm fuiife^qui lapillis^ (e colkdis ad didi peJa 
m omnia psene tocius EucUdis Georaetrica Eleraentt»fingularf 
Nacunt f olttui iis infeulpa > oon fine fpe&andum Mathemari^ 
corumadmirarione,exhiDerefit(olitus. AthanafiusRircherut 
io fiiicibus ex Tolfenfi lapicidina eruris» integrum Alphabeturo» 
litteris vario yenarum dud^u formatis»aJiquando extraxit ; quod 
&in ArteMagna Lucis&l|mbra?Ub.io. para.capxexhiberxri 
iocifum » in ter alia mulu N^turx pidricis opera. PUniH^ refcrc 
lib.37 J>Iatural. Hiftorix cap.i. Pyrrhum Regem habuifiTe Acha* 

^€^d(^enseNM$itrM iu difinrrentibm mdculM ^nitMi^fisqueeiue fin-* 
pdu fu redderentur mfignU. £x eodem TUnU loc. cit. Cap J F# 
Myrmerites innatam repentb formicx effigtem habet^Scara^ 
bxorum C antharias,Taos pavonis. Dendritis»quam Numero* 
&nialii Tocant, mbltis corticibus cxparum inftar conftat , qua« 
rom interna fuperficies pulcherrimas planurum> & arborum» 
iQi6& fylvarum effigies reprxfeout^ In marmore j^i^ide 
oihilfereeftrquod Natura non pingat. Vidi ipfe farpe In Sicilia 
fctuliain eourbes>fylvas>f}umina>campos,anin(ulia. InAchate 
pcrfeftumcrucifixumre vidifleaitKircherus« Apttdeundefflvir 
dialiumqui capuc cum cacfarie referebat. 

r.leunnes Eufibim NieremtergimljbA. de MirisfiC Miraculofit /im^liiiMi^ 
Naturisin £uropa»mulcarefeTt> quaAucfpeAaot > quorum ali-^^H^ 
quabreviter|ad(Jucani.Cap.dait.inCbvigiicamp^ Hifpania!:^^ 
reperirilapidescn(e,lancea» vefti^io equorum , columba: eftgie txmm^ 
ioffgoitos. Cap.7. aic>apud S. Catnarinam dc Vadaia in mooa* 
ftcrio S. Auguftiai in veniri lapides f uapte naciira ad cordis fpe^ 

ciem 

Google 



a$4 f^rtU i. Libcr IV. 

«iemformatos,& figucS rotJe infigohos ; qu«/untin%maS.ftt- 
;guftim5c S,Catharm«. Cetomca! teperiri alio^lapidescotur. 
nices figurames. In alio Aragoncnfis xe^i agro oleatum <&- 
giem perfed^oftcndcre. Ethosomnesapud(efervat. K^pnS 
FuJr4fSueft4fj £\xhyar\g\t ttrucuform/tmtxhibent» ^^viUtfui 
^Augufiimanas M(mides magiiireUgione coliturimago Deipdrjcfm 
(hontefidiigurat4iJicutnonfrocdd^MdritoimagoCrueifbci,^^^ 
tur* UfidiinffreJlitJC a pa x . KtfifictiUti^efies plenamfidemfeciffcn}, 
Cyipfif£ mAndafient (frdfertimXSa/Ucid tiefi^^^ 
- portu Mongid vnrrantur , mx credipojjent. Excreftentes mdtiHiph 
£liUydumfixdofiendunt,cruces & yalUftaiperfiBijpmefculptMiniffis 
fixis formnt^^na. detumente teiago ^giata -appdrent. rwifm 
4flmfi<iu<eufi eUe«mnes4elet,& in alijs rufiumpartihiMsaUaefculptjit. 
xjt^iUi m icneUu ^uoque fnceedentiaftu, &4iliUimprimendas, In Meiita lu- 
Sit*n[*tfn.^^ lapilIimagna<:opia,.8craria magnitudioe, eruuotur exilli 
f«»ti»»r» j[pg£.^j^io qua viperaS.Paulixnanum in vafit innoxii^,qui ferpCBti. 
fimlT* |ijelingua:firailcsfunt. Horum nfbltosin Sicfllavidi.&apd 
me babui«& aliguot tndc mecum SLoream atgue in<3crmaais(n 
attulij&a^ucaflcrvo. 
znfiiuti' In agro Poyenfi Dlonantlna: regionis in Belgio ,tionprodjl 
jnf*$. . ^ Saccllo t)cip2TX , qua: magna ibi vcncratione & populorum 
^oncurfufoliturvfplcndcnies gemmarum in morcm dlfodiun- 
- tur lapiUiCtit ipiemct vidi,ciim Anno 1631 illactrianfifeiii|tai)ta 
cqlorum varietate ac venuftatcut Naiura ,vel Naturaiiiftf«t- 
sreiTusDEustin lis mirifici; lufiffe vfdeatur. . Inhis adaniantB 
candidus nitor, in illis onychius pallor arridet In iftis pyropi ml- 
catignis.inaliis cryftallilux effiileet,quidam cryfolithi aBmm, 
alii :wiarM<li virorema lac alii galaiflites , aliicpali rofam,aIiqai 
4Unethyftiparpuraiii, alii ^acinthi y toJam, nonnulIicon^coC' 
cum > alii hicmatita: fangttincm armulantur j tionntilli faturom 
ruborem amant, aliis dilutus ruborgratiam conciriat Deotque 
vidcuir ad agcllum iftum beatifiima Dci Mater pmoiaHi^geai- 
marum coloresacprctiatranifudifle. 

Venio nuncadplantas,6carbore5.MaQdri^oca,&qiiMM 

Satf- 



) 



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Magi^Paranaticae itf 

SatyrkMtim bulbi hOmdnae figur» rudiraetita prtc (ckmnt. Or* fmsgii 
chis floris typo hofnioem pcrMkh n^enticur , utKle & dy^^uicUo^^ piMutk ^ 
(^S-appclIatur. Alwc Satyrii Ipccies referunt apes,& "'^u^cas. j^^** 
Omniumhorumexcmpla vidiRoma^in MtifcoP. Athanafii Kir-^"^^^** 
cheri,& in celeberrimo horto Simplicium Filii deRinAi Henrici 
CorvinL In Brioniar alba? radice in ventara effigi em humanam» 
&adbuc in publico Mufeo Bononiend confervari, teftatur Am- 
br$fin$§s. In fiiicis radicecertS lcgefedaapparetAquila Imperta- 
lis biceps. In alia radiccferpcntis Hgura efty quas radix ob id 
^iM^Dcappellatur. Adragali radixflcHarumhabetimagines. In 
ligniQuaiacftruncocaput canlnum cumfiguraavisperfedaNa- 
turadepinxitiquod oculis fuis infpcxit Kircherus^ qui& in ra- 
. mufculo pyriadhuc tenero,fedoq; cafu,imaginempedoraIem 
( httmanum caput cum pcdore )ovalifigura inclulam reperit,ea 
• ioduftria^ Natura in(itnm,utcumarte certarepoflevideretur. 
, Omittatmiumcra quar aficrri poOent. Omittere tamen non 
I .poffumGranadiilam,quasin Pervanismontibusfpontenafcitur,^'****^ 
; & id nomen ab Hifpaois meruit ob fimilitudinem» quam cum 
Doftrismalogranati^ habet : nam frudus Qiusdem fer^ eft ampli. 
j todinis»atque etiam coloris, quando maturus eft^nifi qu6d coro* 
, nacareat. Planta huac frudumferens hederac fimuis eft, eo- 
demquemodorepitac(candit,quocunquelocoponitur. Ele- . 
gans eft,cnmfruduonu(la confpfciturypraptereiusamplitudt- 
I oem. Florem habefc albat rof^e pcrfimilcm »in cuius foiiis p ai- 
r fionisChriftifigura&delineatas confpiciuntur, eaprorfusformat 
quam in Magia Botaqica damus > eam ob caufam elegantiifimhUf 
cftflos \ quem degantiffim^defcripfit poetaJbis verfibiui: 

Pukherin AmericMmofcho redolentmefifioti 

^uigeritoccifinobiUfiemmdDei. 
ConfiMfiiffrorumcroceofidtinorbecotumnM^ 

Circumfidnt grunuvutnerM ijftinArukrk. 
^StmcUfvirrfidetfifinofiiminverticefirtu^ 
Sie^erjiu vioUm fingit Mquecruor. 

AA mfiti0 



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igd PartisL Liber IV- 

Sdcwim ifuofoditUnceMdirAUnu. 
Sed^HdiVuQ^ciJ^oresddntfomdcadeniet^ 

Jmbrofim miKet^neiisrem^fafor. 
FertentHf^ndiaSi&confonA retm tma^o 

Kjid^rmi Mtiquim^ cUrificatg^ fidem. l^- 
tJ^iffk^twtifipRdntMocircuifarbem^ 

tert^faUtiferdnMntiA Uta crucu. 
Ndm Demomnifotens noftros tuUt iffodoUres. 

Iffim efi ttohis crux^faradifu6y4^en.^ 

PAR AST AS I s rir. 

T)t fortHita rernm rtfrAfent^atiom in monti^ 
htis ^ fasds. 

t^ip^Afin^ T^Orcuitam & cafbalem re^atfentattoDem rerum hic appello 
^ilftlli^^ eaiii,quaoulIa cerca Naturai intentioneinulla artificio<akuL 
mmMm. ptura, pi AuranE^ ,.fbd mer^fbrtuic6 , in mon tibus^, rupibus,&xts>^ 
&fMxu,, prominStia: & cavitates ,aba:qt]e partesita funtdifpofitac ,ut fub 
certo ac determihdt6 Ibcoin ocuium iocurrentes, certa (imub- 
&ra reruta repraefentene^e^per&dione, acfi exarteibidemc& 
fen t expr^fla. Hiriafmodi mul ta ego ipfe tidi>mciltaab zhis ao*- 
divi^atitlegt. Paueareftram. 
'Wm4fmm> Panormus Utbs eft Sicitfar primafia >.ac fpltadldiffimSi, 
sifiUa, amoeniflimo loco dta ad Kf^reTyrrhenum, habcnsadSeptcn- 
triooenidid);umMare,.reliqua verdhitet^ & circum ea amplii^ 
(!mum,jucundii!imum^fec(iliflm^ 

tua fereconcateoatorum mMttumeofona, qui Meridicm ver- 
mtfmfim^ &siii4Utifnmosa«prasrup^sicopuIosengunw^^ lAuuiuMrgo 
mi^ifirtiii^didLomt» mondum^ regione tlrbis Meridiem verfus. fitorunL 
C4/^ coocavolatere»fcopulkttm virguItorunvpromineQtiis, cavitar 
9tm$umi, tumque fbramiotbi»,ea projedione , ttiamfi cafii^ pculis^iocuN 

iiuntxtttmcdalium cum capite Imper^itorislongaCadGiirieoroacii 



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MagUPflrailatiau 187 

m ineiKo perfttAtflim^expfeffiffiiii^ex|^^ 
determioatoloco intueimbQS. MiUies rem contemplatus (umt 
(epcem annorom fpacio, quibus ea in urb<^ commoratus fuoL 
Cttm extra determifiatum locmn Ibtur , fiye od ortum , (i ve ad 
occdiim»nihilomniooapparetnififcopuli &cavitatesi cu ve- 
r6paolatim loco iUi ieterminato (qui umen non confiftit in in* 
dmifibili » fed ad ioi^m extcndttur fpatium (ecundiim muri 
aeridiobalis longitudmem urt)is)paulatim fbrmari indpit Gmu^ 
lacroro » & fi i temm e loco receditur,itenim evaneldt. A cceffi 
(aptfrop^yUt montis & prominenciarum fitum>8^ projedio* 
Dcmcorim infpicerem»red nihil niii confu(amcongeriem nota- 
repomi) 6c nh veftigium quidem vifi antea fimulacri depre- 

AiteraSiciliac Urbs, fplendtda, ampla , & amccniffimoloco ad MtgmMii. 
FretumSiculum^ regioneCalabrixutaeft Meflana«portum hgt-^rOs. 
beospolcberr i mum, fic ceto orbe celebtatu » 6c circa curvum lit- 
tosportuslongiflimo tradu theatru e fplendidiflimis paladisfll^ 
mutsocohacrentibus fymmetria tnirabiliordinatumiQccum ur- 
bufreqocntibfjs portis intercurrentibns difpofitum ; ioter quod 

pomm latiilimaiiiteriacet via^obilium » d vium » 6cad vena- 
rorodemibolationifcnis negotiationibusque deftinata. In via a^nui»^ 
ioterdi&Qm tbeatranft ac portura ambulan tibus , Scylla:nm Ca- ^^^r- 
labriatpromootorittm, Peioro Sicilia? promontorro oppofituro»^'?^^^ 
exUMtcapnt ciimocolis^i na(o,barba ,€o artificto > ut penidUo u^c3!^ 
ihrohffnum, aut Icalpro excifum videatur^ uti ipfe nonfemel 
^^fiodtamea alio ex locoinfbeduiii^nilitlhniufmtxlimon-*^^*^ 
&iat|2c fipra:terveharis , nil nifi fcopulos & vireuka h fcopults 
oafeoMiadeprchendisieniinus autem in dtdoTococon(muti3 
bu^abra partes lucidas , virgulta ver6, dumeta>filiceu ^gine- 
fttVwfctififcopahfCavitates,ombras exhibenti fauius vcro um« 
btstdKidaniB partuirocommixtio didam parafUfia caufat. 

hsifmuu io fiarottcis referc,in Olyrnnl appendice montem RefrMfim* 
tflp»qaiAra lovis vocatur»nonaliadecaufa,niuqu6d Aram cum ^^l^ 
ioceii&pcttedce^^riaiat. Iterfadcotibus per ddertum Sin^^^^ 

AA X lcopJlloSTMimMk. 



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m fmtitl Uh. IV, 

atirorani cxercttuni liomifiiini y^hoi 
CQfn mecQ eontm^uiphafma igooranc , referre SfOonm raciut, 
Saxa quoque illa^ Ruffla: , quorum meminic Ortelim , homioum, 
camelorum,pecorum , carceraromque rerumformasreprseiea. 
f ancia> poti^s Nacuras formatricis , quam miracdofa? mecamoN 
phofeos opera efTe aucumac Ath^tufim Kircherus , qui Hb. la Artii 
Magna: Lucisdc Umbr^e par^cap.5. aic»fc(imiltaNacurar opera 
mulca olim in EremtcoriDSatid» Mauraif prope RhcgiQm NaN 
bonenlis Provincia: Urbem, noo {ioe admiracione obfervafie, 
eanca iigttrarum ▼arsecace , quaMam Ghi imagioacto fiogm 
poccfi ^ 

oUmtMd^mts tefcTtj m medib Mari Septenerionati Nacuraiir 
fcopulum polui(}e,Monachumcumcucullofu6 perfed^ expn- 
mencem. In lAiula quoqtie Melicenfi, quemadtnocium ipfe 
Ktrcherus eciam obfervaTic, ex Orienuli Infulaeparccexpro^ 
minenci pratcipicimlependensrupesfiguram homiDiscogatt esr 
pra^ctpitia fofpenfi perfeA^ aemulatur, undc loca nomen ex 
pbafmateyFr^/^ imfkedto, MoHnchus fi^nfits. Juxu Becklehe- 
mi ticam^ quoque fpekincam effigiem S: Hteron ymi in faxo r^ 
prxfencari^/tr^WMf) ahique Au^ores itmerartt Hierofolymita- 
Mt notaruot. Xufes in<^itScaiiger Everctt. \ot.immineiOcein$ 
ScjthicayijHdZUtdBAba^hece/iy AmiSd$areMdtcitm\aH&se$rim frjtfi 

firmgm. EH promontormmk jpecie quim$ refert^ Hefiisfiaer 
effelUtum , in finibus FinUppiorum. Montcs noanulles tmtam 
Bguram, aiios homtoem equo inftdcDtem,quesdam homfoem 
ceu Bacchuit) dohe infidentem raencienteslc ytdiffcafleht Kir^ 
cherus. (notiraera hujusmodi fpeAacula aUbi reperiri , duIId» 
dubito.^ Mulu quoque ttftttkQdt^gxxAUrovutitdminUv^ 
leoMineFaL 

Hiprtfin- Omneo) fidcm aut adtnirattonem^perarc i^deturidvquod 
Romae narravitP.Athanafio Kirchcfo, uo ipfemctloc€it.tefta- 
ftiitMima^ tut,P.AIphonfus Douallc ProcurafeorProvinciaeChilcnfisiduni 
fhnt ^^"^ Romaj ncgotiorum causa verfaretur,dc rat ra quadanrhuius gc- 
ekiie. neris imagi ne apud Chilcofcs (ped;abili«. Locus efk ad ^lare 

Aufbale 



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Auftrafc(vutgo del Z(ir)di Aas Arauop^ubj moijs fmaragdis> tuc* 
cbefiis^iimilibusquepreciofis lapidibus ica refer cus cft> ut eminus^ 
(c ▼anoxum bqjusmodilapidum oativofplendcve^epiAum Boil 
iioe intuencium volupcace fpedandurn pracbeat« lo fiajus mbn- 
cisconcavojexccrcocamen^ conftit^iColoco, Inria^o fiMCiili- 
fn« VitjHnif Mariae cum Filio itf brachlfi tah^^ 
tedepi^a ccrnebacur,ut ncmofcr^ id ladenci^Nacuracopuscile 
perfiiadcrc fibi poflec , fcd omncs apparitioncm clivinam cfte. 
motxitciis tcnercnt. Mirum cDim vidcbatur iodigciNS fpcAa-i 
culum,cam tllud non.nifi cx ccrtt>loco<c|c coafpiciendumprK- 
berct*>kquo fi rcccffi(Icnt»evanc((}cbatfiguraii& pra:tcrrupes£C( 
pttcipicia hihil amplrus^appaTcbac Locus itaquc didus«cism^ 
(Cfaporcmirum inmodom frcqucbearicfl^it,&famadidi/po« 
daculi ad Pacrcs jqqoque Socictatis noftras Hs in segionibcis prO' 
Barbarorum convcrfipnc dcgcnttbus pcrvcnit ; qui rcmpcni- 
tm examinaturi Araucura (ccontulcrunt^opusqucinfpcxcrunt 
coriofiffim^^; at^on ut (Tm pliciorcsctiftimabant, apparitioiiem 
divinam,?cl reprarfcntationem miraculo/am, fea meranrcffc 
projcdioncm opticam , in oculos fbrtuita hrcis &umbras com- 
mxtimc,lapidinii 8£'coloram propoxtione cxprcflam » fub cfl$^ 
|MirmifiattalMin»bracbiisftrit^ca^ incarrentcnitrepf ecruot^ 
rttt^mcn dcrotio populi crgaDciparamboetammirifico fpei* 
Aacirioccmccpfa tmpcdirctur^adlocum tlloni quotannis fblca- ' 
Moitproccffioncmi tanquam ad loeumdevotioni Dciparaedir 
viilprovidentii:dd(l:inatum, inftitucruni. Quam qujdem4e- 
TWDiiem minim^ Deo Oci^ue Macri tngratam fiiiiu:> eve&tua 
docutt : nam maximis pauladm proc^igiis ita clarere cas- . 
|^t>ut jam toto iUo novo Orbe vi& celebiioxj 
locusbebcaiu^ 



apo PiMtli h Libcr I V. 

C A PU T 11 

TNoRcflec Arsttfi N«MnraRi'JiQM9it«ri npodd/ed (aperare etiani» 
'Hicaliiaittrebiuftiolcia» ica & itiparailatica qaoqucfraude, tam 
jttoundi» qudmiiHMkxii, cotiarecur* Vidimusludencis Naturx 
srtfClfictamin variisififiuilacrisadriJapidibus, plaac|s,rupibus^m- 
pfimemlls. VideliduiBottQfliquieademarcificio.fieriqueaDcliu- 
manoypraBfercimiQa^e». 8ciofQoncittm,camporum»rallium, 
horcorttm difixmciniitis (uperficielMis. Qui ver6 idem fieri queat 
totap>diba^plaacis»&«ttHiMlibuteciaa»diceffliisiaMagi 
. ftica>qtt6resliaccproprt&/pedac 

PAR ASTASIS I. 

^e^tm direHm iMorganAKheginwumitfim-. 

iMmt/fTti^dosiexhthen. 

ArMXMiM>pR}mas, quodfefaiii, «qui ruptid<damRhegiooru(n.iBFreco 
^ Mameeciii»Morg3a«mgv»pliid»,dod^,etegao«ea»^pBoli^ 
defcrfpfft><itf((uqueiUiMi^d:^aviefolerceivfcinTeoief^^ 
fb^^ritdQSttOknmP.ijit^ Narone (Hceacfiiio 

chmti. i^ii|{adicere)fol6i«ffifiius ioterpres: prunus tlle idcm^ qui ad 
NMUraramialMfoiiem Arte>id cxmberetenuvic leviter»& cxki- 
1>ebfttplemi^a(quepiprfe£bmsfno4um prasfcripiit» Arcb Mjrfti 
veri^PtiimrgM. tlluip^ergOT6ri>is,quibusrefniodt^ 

Ju^fnexpliMt^KK Actiis Magiut Lucis& Umbra^par. 2. cap.i. 
araft. 2. artificiutn refecan^ quoJucis & umbrac beneficio fpc- 
drum Rhegtnorum Morganar (imileexbibere valeamus. 

^ tUtigiturcijla obionga ftrrca , in modum candUsincurvMta. De- 
inde in ciftam refones carbones feleniticos , cejpites anttmonio turgidts^ 
aM^jt r Ar^4y in materiam vitream refilubiles ( Chymici htc me inte^i- 
fftntjjkbieffo^ canali ignecarbones tamdiuvrantur, donecmaximo 

fervore 



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ftrv0redt^$te ignt C4fncepta c^nJeimi. per^ffe , e regione cAnalm 
tigricobris cortind extenikfur. DeindekqudmexvAriitvitrkhrnm 
f.^lium ^HeJfUscomjmfiiamfrdpsrdtam hdbc46\ ^uatmmoxv^xcdr- 
ImihHs dccenjis ajfuderis y ec€e {nuruntdiSiu) tamfuam in lucidijjime 
jecutotxco^Hutd ioeofimdacra^ hifinititfaaddmcoimimvmetMi}e 
xiftns^ d^^ftttditri^afmdiHutai^^ 

UorgandMamertitM^of^dtttif^ftvi^ fitmnu^tum votuptdte dtto^ 
mtusintueheriSi opacantecortinivirreiya^oris^diaphaneitdtemi vnde 
0iie{tarum rerum inconJiitutumtocumrefiexiotdntd colorum vMrietd- 
teexfalimnfimindrio erumpet y vtin rehm hnmdnis nihitpnbckriut v$- 
dmfojje cenfedm. Rest^menvtoptime infiitMtJ^rycBymicnmma^- 
fiermmtemirit^ci^ingeniumdextrmn. l4dfeqtrieurKir<2be#iis^ 

Exhoc^^icoexperimenfo.faminfothttitphdfmdtm 
mertim ^dtis tmprwiss iSfucefcentii raiivnes crcdufam itdddocMtum 
tBuiciidhnomftravimm iVtnemoeffit jqt^ektdminvifi eJfeitmcdMp^ 
dmpSusinvliodithitarefueritau/m. Hbnamplinshieprogredhrsfem 
Untim acutisingeniU infinuafjrfufficidt. Cerii qurhtupettitiis firm^ 
tatus fnerit , ea Natura dpt m exhihitionererumftdtmonfiitdtwrmm 
jodt , efudnultHSdnimo conctperepofftt i jpttuti^intiudm , omntsNdtnrn 
^^^bfn^excedente. NequtAmemqiiisqudmfibiperfuadtat^ omntm 
W/m0ltts di huiufmodi exh^endd idontum ^t : hocei^ikli^Jum indt 
^fmtjquidnonvbi^Jorornm , vhivaporestkvantHry optatos fuccejfm- 
neg&tsnm habeat \ Jed iniis folmn bcis^quos fitus loct\ ^ ^afork fro^ 
J ^rtetds farticularis ai hdti tHhihmda aptos fett^i ftn^NMimmmu 
' mnis vapor arteprocHratus , fedis tantHm adtxtmpidr Naturainfiitn^- 
\ tm^nuamnjamindicavimus yhuic Farafiafiaptustrit. Nigptiumigi^ 
1 Hmmm^quam viSifid chymicam manum^vtidsxi > vt ejj^tifumfimm for^ 
\tmnr^tquirip^ Ha^flenus^Kircheriis.^. 

COROLLARriTM; 

Mf^tocmachinament& colUgit Kirchcrus yfiaiufolo-^ vdporis^mofu^. 
^^n^kmnera exhihtripojfc^ hHmamin^nioprm^pdrddoxdvq^^ 
Hpm^i^^ ftHschinatorif^fagdcivtttf^^M con^ 
^^kaHtidtnd rthtmdica^3mm^ 



'«>2 Partii l Lib. IV» 

\P A R A S t ASI S IL * 

Rupes in montihus it^Jtccoinmodare , drbores fUn^ 
toique in fvmeis ^ hortis artfciosJl qmdnm culturk ita 
. nm^ ^t l confiittao looo cm^mjigHram referdnt , txtf^ 
^ero tilum locHmnthd fimtle 
; oihtbeant. 

*-^<lro Magno promitccbac , fc Achon monccin formaturum in 
^0ru, ftacM virilis figuram , qua: nutfiu l«vfi tcncrct ampliffimam Cl- 
riucem , 4cxtcra patcram, quaccxcipcrctoraniumfluminuni, 
<}uacfuntioeomontc, aquam> ut indc inmarcprofundcrctur. 
Memini etiam me audire Roma? m P. ^^rnno Mmini e Sinaruin 
•^egno redocci&lcgttur in Atlante Sinicoab ipfo nuper edito, Si- 
aarumqucndam lmpc€atorem»utdiviciarum fuarum abundaa- 
«iam oftenureCi montem (axo/um mg;en tem in ftacua: vi rilis for- 
^am ex(cindi curafle, Non id bic uc Hacagimus , (cd aJiud quid 
4ong^facilius,&; minorum lumpcuum» non camcn minoriadmi- 
<ra€ionedi2num» docemus,qua nimirum racionc Principcs.a- 
iilqve vki iocupleces , qucanc cx Opcica? Paraftactca: prxccptis, 
accommodarcinmQncibus rupc$,difponerc In horcis, ac virida. 
«Usiauc campis arborcs ac plancas,cam ichnographice» qu4m or- 
4iiogr^ice> acfcenographicc, uccx cercoacdeftinacolocofi- 
gttramiubftamrepra?(cnccnc»{i vcr6 cxalio locoinfpiciancur, t- 
Tanefcancomnia» & nonni(iconfu(am rcrumcongcrjemexlur 
bcanc 

'^^fi^ Ad rapis igitttr aot montis in dcfidcracam paraftafim ac- 
vommodationcmquodaccincc, poccftca ficri ope Iuftrumenri 

^nmam. Me(opcici,dequoim)ra:ccdcnciLib.Parceixap.z.&feqq.(xpiu^ 
jaro cradavimos > (i nfmirumiiut in velo diaphanodidi Inftru* 
menti rudicer dcpingas , SL crafiioribus coloribus exprimaspra:- 
>cipuaJineamenaimaginis^ quam paraftuici io diffiurorupem 



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Magia Paraftatiea* ip3 

t|tmotitem proljcctedefideras^cuiufmodieOepoteft t.g. Aqui^ Vidc Fig. 
ta fmDerialis,aut fimilecuippiam.* deinde iDftrumenttim io eouiAcotiS. 
locoftatuaS) in<juo paraftaus in oculos ittcorreredebet» & applf i v« 
catooculoa4foramenoculare g tigilli pg convenieoterei^di^ 
dirigas radium opticum iuxta prascipua libeamenta coloribusin 
vel6 exprciTainotesqueioca in diffita rupe aut montCiad qux ra« 
diusopticusterminatur. Stenim iuxta notaa loca conventen* 
terpartesaliaseKrcindas,aIfascompIanes»aliasadiictaS)8cprotef 
> exigentiaramos, ceQ>itcs$trabcSf fimiliadueaddftamemaappo- 
oaS) habcbisdcfiddratam paraftafinpcrredam^quarnonniuex 
co loco 9 in quo loftrumcntum Mefopticum ftatiooem firmavi^ 
apparebit. 

. . Mbfci obdnebis>fi1n aflcre aut tabuUdepingas ruditer iftia^ insm^ 
fiioeQi» & partcsimpertmen tes abfcindas,relida& veroi, ubi opus 
raerkvcxfciodas^atque hoc fceleton Inftrumenti feneftra?> pepio 
txempco, imponas , ac juxta eius extremiutesac per foramiiia 
radf um opticum dirigas io locum elcdum. 

Ad arttficio^ 8c paraftaticam arboranit plaourum» vitiii^ 
flc^omvaharumquefimiltumrerumdifpofitioDem in hortoali* 
quo>aut canipo quod artitiet, procedere potes vd modo jam di^ 
doperradtjoptici dire&toncmac termiQariooem infubiedum 
exaJtioriaIiquafcneftra»porta,collehortum,campumv^utper 
ext^fiooem fiU ad oculare foramen g alligati^^aoxtaimj^iiDii 
ioailere cxcifac , & loftrumenti ieneftrasaccommodatas » extrcr 
miutesautftNraminaufqucad hibiedumfaortum » fi noDfitnu» 
mium diffitus^protra^. Si eoim iuxta dcfigoata io horto puft* 
fta vekadio, vel filo, plantes arbores>& alia umiliaihabebis figu» 
ramprototypo prorfusfimilem^fiexeolocoiiiibiciatur, exquo 
loftremcptiopcdiAalocanoufti; extr^ver6jii^umIocumnJF> 
hilfimileapparebit SufticitautemprimariacaQt£unpuQdadc« 
lineatioQis io Inftrameoco fz&9c defigqari iQplanoliortorum. 
ForcaffisetiamDoducadem liQeamcntoruihdcfignatio in hor- * 
toautcampoficri poteftperdiAom Mefopticum Inftrum^tum 
ope]ooii&ttmbr«> fi4unMiiappl«petQrad^ianaeDdioptricuai 

B B G^8C . 



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P»rtU t UhtT IV. 

noteatnr inhorto umbrac abopaca imagkielaftniinei^ 
kiclufje proje4l«.> 6c lux per riiiias ac foramiQaeiuiHemexcite (• 
magiaisprc^agaUiiSc iMxta luces &-u}nbra5 noteiHurlocaiio 
qeiMu deinde planceBtur arbores > aliaque di^oBancuF pro iw 
«xigentia. Procurandumautem.ut lumenforanuni g appoli- 
tumiucoap&eturrUtad plaoomhortinonpeFveniat aifi peri- 
maginisezcilat rimas ac foramioa; fic enim meliiuibidemDouri 
poterunt pt^jedx^pep^ii&zs titMi ac foramina lucis veftlgia, & 
opacatarumimaginispartium umbf sertint denlioce& 

ANNOTA^TIO. 

Dc CattipO K'A^»>iroiuf<P(f] 

Miul^n i^tiesjieriffiffinftexdrtthaiieintstradftai fiiimfarvisetim,&m 
sSiTm hne^d^itisiUpfiexijMvtappareant.a^iddekem^. At^hmtm 
tMM» dt' trediderim deUneattt^ fuiffecamjmmilkn^U^*^f*'f^'* f 
t^" nimefitfevidiffe Remaimhwtfrni faller , CardmalisMantaltiaSim 
fr,fummfMn^fr^ethefmMT)iaekttanasmaff^emiffimt(» 
dn^iitfUiHmis^tJMayVtaffaret^y U^daadiufmndrederfdt^ 
fmnimgttndinissc laMudimis,&fitl}fenfain urieteeuit^damtfm 
visinteraliasfretiefijpmMsfiiiurat. Hactabuiafi dire£i^*^kiilik 
ml$»ifimantes,vrbes, valks» rufesyfiumina» lante,arhffrer, hemmMm 
' 0pimiimirfimnJacr»Yverhfanrcrniffimnm 

fjimfmnnfert.-^fiveraeJaieret^^rexeertadifiatUia^aj^iciatuKft^^ 
nxUftistmaffitemfimtdihmearvmatitmyefrafentattfi^ 
admiratianeacveli^ttUe: ViHamtim^nemart^ciefiffiniedebiei/h 
^dn as incidi tnravit T. \jdihanafitu Kvtcherna y . & liahetiiriit AtH 
Magna tucis&.VmhMlcen^o^XXVlll. inmedit,vhitundm^ 
•eiumfraftat, /fu^imdiBeherte^ pj^mre diximm. . Sienm eimat 
&fictmSm ia»ptmiinis ha£m i.if ,in^iciatltr , rtfrafint^mfm 
0tontihiis,vaBbWj,fiumw»m,dmnihmsidih^finmhmteh 
Vide i^^.tmmfitMtemaminmfitfrahafim wd re^ain^iciatHr,fiamtkitts»^ 
\.lsm^ fgnra. imapnemtteulisintttentitebiicit. Sitmaginicenvettim^tdf 
aaw. r9saddnvtmm1»ninl(nt^ffiBmnfr^ta^t,.Stdt»ek^ 



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Magia Paraflalica. 19^ 
COROLLARIUM. 

C XhisfdfetiijM TAtimein hortis Primipum drf ' ^nofa infitiont plan - 
^tsrum & drbprum exhiberi JpeSlanM ex deurminat0 filum loc9 
fojjintarma frincifis , auteiufdemeffims, animdbimjfgurd , tapagra^ , 
fSidMrciSiregipnis integrdchorograjflnajC^JimiUa alia. Item quomod§ 
vrhsfofitconjhuiiqud exeditoloco certam aUquam figurAm referai. 
tluracuriofasLe&in^excogitarefoterit. 

PARAST ASIS MI. 
ColnmnM tH*deitddiJ^onere^ vtproculredfa app4- 
rcant^ acceffu ^eri dijjifari ac diffiringi uideantur , her^ 
rorem inaMemineutiantofttcMiJaUaciai 
ignoranti. 

p Vranctjciis K^gttiUonius lib. 4. Optices agcns de fallaclis afpc- 
* •dus circa motom & quictem,explk:at Propofifci^i* caufam, 
curnaviaantibus videatur nayis, aiia vehunturi ftare, coetera ve- 
T6qux(tant, moveri. Qaa occauoneexplicat veteris cuiufdam 
&bcll« conjmentum. In Ponto Euxino,/r/?^ P///r/^lib.4. cap.it^ 
du«fant Infulx , Syndromites didlae , quasfic Cyaneasalij , alij iWWfSr»- 
Syrtplcgades nuncuuarunt. Has Po(5tar in ipfo Ponti ingreflu******^ 
committcre inter fe tabulati funt Eam ob rem 8c Planetas oon- 
nallieas appellarunt , fic$it idem rai^ius eftaudorlib. 6. cw. 12« 
tanquam-fliK^xT^^V^rgT^aifyerrabunda (axa. ^Juonism^ utjPIinij 
verbis w^Xyfarvo diferiSM ustervdtb exddvefjolniuontibmgmind 
(nnebanturyfaiUumg^defiexdaciecoiunliumlpeciemfrdbebant. Ni« 
mimm quia navigaates ad ipfas movebaotur , & ex orgaoi vifivi 
notione ijpfas, oon (eymoveri exiftimabanti & confli6lantiumia 
ntrem coogrediirbitrabantuf. 

Hidcibmogit Aguilldotus, poffe haud abfimfli errare ita de- 
tipi tifttm 9 ut rerum finiftri acceptarum imagines hominum a- 
nmnmfiidaotpenftus cohorrere/^uod quidem in certigeneris 
a^lificiiseTeoire oecefllum eft, ioqutt, etiam prudeoti viro » & re« 
nmiQptic«itopcrtto.Artificiumpropooit(pfemethis^^^^ 

BB « Stdtm 



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Partis L Uhtt IV. 

MMficium^ Statue tihi ddenh cuim in ftimU farttmimM^ pdriefes M0 dmii* 
'*?^^^llf cm^ant crebris anffihrum flexibm infraMi. Ex his ieinde frr^ 
mu c0m> mxajpirgattotidernangulis curvatm , qui m frogreffnin aliarat^alim 
mi/ti vi^ flanarum fartium commijfuras diflrahatwr. T um fingeim finguUs fsr- 
Sbntur^ //i^ ftanis columnas fingulas , quarum fars fi^crior Jufra farietes in 
fornicis fuferiecli inclinatas fartes procurrat^o tamen modo , vt in adis 
Irmine ftantibus columna a mtiii^f^ reilaidifuod hacrationeef 
fiei facih foteft ^fiangutortm omnium ^tra^Unea afi^eClureSio , velut t 
diametra oculis obijciatur: cceteri denij^ ordinesifui columnts imfonen* 
fur,itaferfinguiorumflan0ruminclinatidnesducii»teffigant4fr,vtfH 
exeodemadis liminein altum fufpiciunt , eosinferiorum fartium feriem 
frofequiarbitrentur. Rebtss ita comparatis^ illud evemet frofeSlo.vt /- 
dcm deinde eotMtiO^gradss ingrtsuinti tih^mnes eacoiumnarum pdt- 
tesyquafiifra farietemin fornicem e^curritntyfrorsimalist, alia retror- 
sum tahi^ac ipfietiam fuferiares ordines farinr diftradi inofin^ta ruina 
decidere videantur^crcafu te ehdere refenttno Nimirum tjui exadis li- 
mine^effati anguli rtBartmf hnearujn fpeciem mentiehantur ^ ahode 
bcoinfiexieffe defrehenduntur \ fuo fit , vttjua fiaytanikcredtbantji^y 
mox fluta compage ruere fubito 'OmniaiOXtfiimtntur;. Hacc Aguillo- 
^Kllus. Resefl ciigna,qi;(am Priacipes m fuisa»iihus bortea£bas^ 

' PARASTAStS IV. 

fMiWfo* bitoetiamvittaIcBricuJiMa,Htcliai!ii^atq.ufrnitidii» 
Jf*^*^rumfbcmajtur;. Hknotabimus.nonnulliicir€a-idjBm£]^iv 
mentumibidemomifla; acdiBiodfrmodbmprjB&cibemu^jqttO' 
q|aidlibeiuaIbco«b££ui»>£&q|aomtemp9^N^ j 



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fti^iB^^rdiiSttimeQiFii ExperimeDtumiion43incerta4cdecer-: 
miaataol)i«6Uante iQ^^um pbicura^iin pofit^j becni^I interdiu^' 
rcprarfeotarcpfiilumuj. * 

NotaDdumergo prifDo, cp mirabinus Sc iucuQdiusTidcHtp 
expcrtis ExpcrimeD tum, ^up occultiiis exhiQctur B,ij3^^'^k^ ^ 
ramcn,Dcc vitrum fbraminiinfcrtum confp^atll^/Q^ 
turautenjjfbramcD &i vitrum,fi intra obfcururri concravfcin me- 
diocri dinUotia aDteibramcnpoD^tur t ^j^ia taoxa&.altitudfnis» 
ttau£irat(iui<lem feramen abatpeHti ain«M^|j^ 
fpecicrumtamcb immiflionem in planum candidum oppanfum^ . 
noQimpcdiat Potcftctiam e regionc f oraminis inloco obfcuro 
fierircccptaculumxiuoildarn in modum cubi ,autparallefepipr- 
dlconcavr^^.cuiusdMolateralia plana nntopaca,planum vemfoT 
ramiQfoppontum fit obdudumchartacandida, & valdc tenui 
a€tran{parefiic,&abeatqf vcramaforaminedi(laDtiam;;ad /pe- 
cicsTit^&.claridimeexcipicDdasproportioDa|^in^^ 
pro varia vitrorum fbramioyn^ yariai^- 
(fcbctj aliameDLmdjfbntiarTirc^l^fj^^ quod cftfcgmeti- 
tQmmajoris {phxxx,6c aliam vitraQ?quQd cfl (egmcntum fphar^ 
»minons. HocpcraAo , {tniulacrai^^^^ 
ipecies io chartanrv albam ac tcDuem radiaDtes traD/parebuat^ 
er cbartam , & velut in tabclla depicfla videbuntur ab adflanti- 
usiocuro poflcrhartam pofito* Vcrum t^amen cil, i^od ita nitidos. 
ac vegctos apparcrecolores pofl:c^rur|i'.>/^^^ !. ' 

poOtoocuIbapparcDt: ^ 

Nbtaodum fccuod^ > lioc ortificio in cubi papyracei pofficai ' 
&teDuicharta. pofie in. loco obfcuro repraafeniariyenationesr 
ivomioum SCammaliam certamiDa >.6cf^^ 
bnlicFarum^^tterribilium^^apparidODestafi^^ 

itescxcImx^crjifiaiautaUamate^iaexfciQdi^ 
cfiormcQtur^ 8c extra fotamen ciextri: ac liateDterappIiceDtur>. 
comdebitis geftibus. £tquideinfi!did^iniagiQesiDycrtanturj: 
apparebQQtearum fimulacrait^lltu re^oiiibWciiro loeo. Ai^- sp$riisjr§f&t 

BlE I, i4dap»/42^/«r#^. 



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ipS Patti» 1. Liber IV. 

r. qap. j.fcKac metHoab' vldiffe exa<aiiliinc repr»featatamQiri. 
fti Domini Doftri crutifiKioncm j & a magoi nomlnls viro ocula- 
tQWftcintellexillc, fuiflecadem mctbodo Rudofpho If. Impe- 
raipri repr«fentatos ab mfigni Matfaemitico omnes prxdecef- 
forcs. C*rares a Julio Csfare ufque ad Carolum V.>&quideiii 
rcfllafpecie , & ita ad vivum , ut quotquotpraifentesfiierunt, id 
TOagicaarte,autnccr(^*4oticaadjurarit>Qeficrif)utaverint. /#. 
4m»esBApnjiA PortAih.x-j. Magis Natural. cap.tf.*alt, fefaoc artifi- 
cio (qubd magni aeftimat, quia fuo tempore ndndumevulgatum 
crat ,licct de eo exadl/Gmc eraaet Daniel Btrbtriu in fija Pcrfpc- 
Aiva Italico fcrmone fcripta,) exhibuifle in ^biculo venatus, 
hoftiumpraclium,&aliapriEfligiofa,admlratttibusamicis,taliq;' 
illufiQnegaudcntibus,quosnaturalibu58copticcsratiohibusad. 
diidrs vix ab opinionc de prajft/J^fs Cblncepta f emovere valuit, 
dtiamiirtificioapcrto. Similcquid in Ptihcipuni recreationcra 
Moliri potcris, fi h regioncforaminis inpIanoaSoleilluminato ! 
^ponasfylvas,montes,flumina,animaIia omnisgencriscxligno 
igave materia confi<aa,aut ^eris animalium larvas adfiias, qui c 
|^cbriscrumpant,&ievenat6rumrctiaiacarrant,adfaibitoct. 
^j^ibai^}l.^ubaruja,'buccinarum,5ccornuum,&c. 

Hacea3emarte,inqait.,#^i//&»/i»Iib.i.Propofit.24.fti<r^^« I 
PHfetitsmcircumvemrefilentvMnf/juidamfrjtpigiAtore^ i 
VMumt a^am4nf*J(eritoso/fendant,cui$uk/ix»i>menfiiunt,f4efantfip^ 
^^[^^^^monum^eBrAahinferuevocAre.&AdJ^eaantittmoctdufi^ 
t^*im» ducuntiUicmofisrmmoccttkior$minobfcurumconcUHte,quonuUum 
*»♦ omninolHmenadJpirAt,mjitAnti6umyquantulumexilUvitrioibuim'. 
mittit.* ibifiientieifiveriindiffOffimulatis^ myfieriis rerum ac ver- 
yvrtft^Jitjg^ adeo exfeSkticne ifsi , damnein mox Adfitturumdenunti' 
IntereacUmt^mJkeorumfidaUbmvnusdamnkferfonami^ 
ddt> eiua is vul^finnfilet.vuhu berridoacmonJhofi\edmiius}Jreg- 
iefurgentibus, iMpnkficlte&cauda,mAn\cu calceis^ unguUtu Jumis 
.. ^ forisme^tabundmeoohambuUtUcOjexsiuofuMs&cffUrt&figurAur 
vitreumvrhentmcopda-iae^rin^^foteH, Hehmitactmictm' 
Ijimtait^nmt^fi^fmtiii^ 

chuta 



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iUmDeM. HSffsfier^Mljf^fida^ frefeftm 
AirtMeeA tdhifld,eppenitur^ r^dut kminisin concldveimmijp. Pr^Jii 
jfkeddd^enu /^ul^rum J^dmbuUftJM jpecie, ) cc^nuf^timide^intue»* 
^tceuttemf^dnsur. Itdrudiiil^hemintes^umh > 
uk^ferdpiferduntd^pecunidm. 

Notaaduni lertio , quia iHanim taati2Unrcr^ro*nmuttacraio 
obkuro loQo videri poffilnttquarumQ^espcrredamliQcam 
pcrforamcu&viti^um iogrcdi^&iQQpj^fuifam.caDdidamchar- 
ta»appeUcre po0uDt,i<U^que objc^^M^ 
nis cxtriipofltorum (imulacrayideri miDim^ pofiubt»mfi 6c ip/Is 
foramen ac vitrura obverutur > ^pcdit titrum in tiibum char^ 
uceumcooifbrmemincludere>&.tubum foramini itainfcrer^ 
ut verti in quamlibet parteni dextrorfum ac finiilror fmn pdilri : 
ficeoimnulIonegotio,{i opus fuerit,obvertlpot^ritvttrumob- 
jedis etiam h latere poiJtis,ut (pecies rcdaper ipfum ad chartam 
afqueallabi queant* 

His ita notatis circa commune ac vulg{itum jam ExpttucHimfu: 
mcntum ^ ut res quascunque, & quocunque in loco » etiam iq fo.iyrM€€mM4 
ns>in plateis , in campis , in hortis, exiftcns^rcpracfcntare <l^^^i^lYisi^rZ 
temporepbilis; conftrui^ ex tigilIiMigDi1evimmi>& bcneexfic-/^ 
catifmacninam abcd £, in formamalicuiuscubiautparaUe-vide Fi^; 
lepipcdicancellati^cuius quatuor vacua ereda latcra teli j autn. lcooiCr 
charta craf^a atque opaca obducito ^ in nngulis ver6 lateribusxuu 
relInqueexiguumfQram£vitrolenticuiariinftrudum>utfpecies 
rcrumextrapofijUrunvirradiareperipfumpofnnt. Ihtfacubum 
hunc conoavum ftatue alium cancellatjum cubum aut ^araUelc- ( 
pipedum^ fg, mundiinma ac fu^tiliinma papvro ob'da£tumy 
ouius latera uncum k latenbus extcrioris ci^bi diften 1 1 quan tum 
rcquiritlegltimaadfpeciesrprumi^^^^ 
{irQpprticu .^;*, 

H^^c ipacbina iri centro . c iii{riufq j^i^l fw 

menadcoampkim^ uthomiQemintroadmi|j^fie^i^^ "^Sijaf^ 
iQforo>autincamp.Q,aIiovequocunqueIocOj rerum circumpo- 
Gcarum imaginas rcpra^fcnure^upis^ aut ^kh ^ut aliis y ftatue 

Machi-- 



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sdo ftiitis I. Lib. 1 V- 

liAachioam fubi4fulcra»&perfbraftien c Mtlaaate,ayiim?^ 
vcl peoltu^, vel faltein pedore tenus,6c hf an tes meatus ftrapbio- 
loaiiaviTCdbtora.olit^fnimtimluitirmsperfo g ingr^ 
di poflit. A peri d6mde fenedelfas quit forifhfba cim vicrii 
contegunt>& ecce mox inmom^toomnium rerunitircutnfi- 
tarunftmutacraw riiteri6ris'c latertbus apparc- 

bunt, cum bmn%(us coterrrbus; n&otrbtis , & geftibus. Sknilcffl 
^ Oisichii^iam vidtt P: Atbananiis'^ircherUs aliquando in Germ»- 
nia4dmmafuiivoluptaree>utfce(^ 

-^- -^--an;!^ o:t a t i a •; 

TMcei op$ l^i TUfn^ortorum^c^i^forHmidliorum^ objefiorurh orthografhtcuic 
je(^grM' Jff^¥iS?^^^^^^ deUneaiionibusyuixts quemcunque (itum Uu obverfi- 
fbMd$U' nem diirorum objeSIorttm^directufn dico^ autobhijuum, cf inquichtj^ 
«f^# , , froportione mngnaautparva, Si enim coffoces machinama^tefiijf^ 
^ ; ilum oftice dclineandam , cf ita Hliobvertas^ ut imago obje&iin intt* 
. rioris cubifafyro feHucida fitum defideratum habeat , jftxtdHtfiriU' 
tionem a (heciebus fa£lam m chartafitigaij habebis rem jfpft&M^ 
'[ i^ig j^ AmJecundi^momnes Ofticd fiuPerjfe£iiVdre^iddi. ' * 
' ^ofdtiMachina fierimaiorc^ ^hteS 

] ftidmintfrpji^^^ 

^U^viirotnfirtofieri^offofito verolaterichartamundaobduciyintrt' 
portionatadipantia. Sicemminfirtoferfisramen G cafitenwtiit 
rerufnj^ecies in charta munda def tSias. fiac tatione qutdkm in Bt- 
Jpaffia cf^ritxefat machinulam tam exi^uamtUtfilusinf^^bfachku 
fircumferret iffimfaliio teSfam^ exibstj^ad camfos, arborumfhtf' 
i^runU^rst^rum/nontiumt&fluminum (beciesintromittehat^ 

^ , ^ Non tame^ eB^eceffi cafut intromittere^fedfit^citperMtBmi^ 
ydrvum nonfrocuta vit^o faftum introj^icefe. Egd 'ditos omsfef^ 
mjtm itttra alterumtquorum externnsfundo^nterntU ofercubcarebl 
j^tJM^itrs iilud^^ ad necejfariam difiaritiimf 



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MagiaParaftatica. 201 

^Sj^ muhmA fuerlt frofimimor objfSto irrddumti^ eo mmora^ 
fdret eius imago in fhdrta > quo vero remotior fuerit^eo maiorimago 
tvaditjieetnonitanitid^ydrclara. Inntro^tamencafufervandaeH 
iclnta difi^ntia , quam iffa exferientia docebit. ' 

Eidem machink uti poterisnoiluadfrdfentiamfufflcientulumi^ 
wis^firvando tamen eaquajequuntur^ 

PARASTASIS V. 

^Bfrum imagtnes in ohfcuro loco reprAfintare 
candelarumjumine. 

pj0geimagineni,quam repra:fentare cupis,in charta tenuiiCO: Rtprtfm^ 
^htt quocunques piAam & ficcatam tinge oleo, ut charta Gzt^^re resm 
omninopellucida & fencftclte alicui^quatuor tigiWisconfcda:^^;^*^* 
iochKl^t charca maneatextenra& (ine rugisaut plicaturis. His ^mhMs^ 
petaftis,claude cubicuium ut nullum lumen in^redi pofEtj & in ''«f • 
jaooa autvalvis feneftra^alicuius fac exiguum foramen,&ante 
fwmoi ft^ueimaginemfeneftella^incTufamJn eg^foramine 
(Viliiiiiijquam experientia te docebit: mox ppne lumen ante 
uM|^oeai,ita utimagofitinterlumen,&foramenjanua?. Lu* 
fimigftiirpcr chartam pcllucidam oleo perun&am traoslucens^ 
Jmdfahit per foramen » fecumque deferet imagini5& colorum 
Si igttur intra obfcorum cubiculum oppofueris fora-» 
debiu diftantia pianum aliquod candidum , excipiet id 
i fimulacrum cum omnibus coloribus > non fecus ac 
qady» ad prsefenciam Solis iimile capi tur Experimentum. 

ANNOTATIO. 

^j^emdtos annos cnm huius rei exftrimentum in Sicilia fecijfem^ 
^^^^admcquidam tfmmagnm fihi videbatur tJHathemaucus & 
Utf^fHft^^m Italivocant, qnerthainrd^de huius Exferimentiajeten- ■ 
tm i^ki fisccejfu. Sed cum frocedendi modum examina0m , de* 
freb en i R mm lumen interima^nem & foramencoUocafJe^umtamen^ , 
tidixiiColocafidebeatitaante imaginem^uthacmediafit interUmen 

CC &fo^ 



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ao2 Partis 1. Lib. IV. 

&for4fMn. EoUmenmeUus veaetius ^ppArebhinopp 

d§ ampo JimuUcrumy qno vegetiores fuerint coloresimaginit, ^^opio^^ 

fim lumen gdMitum. 

COROLLARIUM. 

€^0Ug$0 ViX ifts coDigiturl. qui rstionefofptqui diteri in Jeparato<uhiculo^ 
^lmmimk. foUpMrietidiJcretoexifienti^occultosanimifuiconceptus^n char- 
ta kgendos tranfinittere. CoDtgiiur lU quomodo ea omnia > quMper 
Solcm reprdfintantur in ohfiuro cuhiculoypoffint etutm reprafimtAri per 
lumen candelarum aclampadum inalio conti^uo cubiculo accen/arm, 
dummodo caveatur ut lumen non feriat direSle forameH per quedj^m 
intromitti dehent. 

PARASTASIS VL 

' ^M^um quAramlihet imaginesin ftmdo ocuU 

reprafentare^ 

A A ^^P^ ocQlum cauri, aat alcerius caiosdaro afiimahs etancfio^ 
fMU^m ns>veIetiamhoniinis,(iaiicuiusanacomia; infticaenda: Mrca^ 
ii^fmndo fio fueric. Debct aucem oculus efle recens >1k>c eft, ez anifiialff 
tecenier occifo erucus. Hunc ocuium dtligencer lava ^ & k po- 
^^mj^ fteriori parce pupilia? oppofica, e6 ufque cunicS crafliore deatida, 
refedis idencidem parcibus crailioribus, donec IniraorTitreas 
ex illa parce perlacere indpiac. Hoc peradoiocukim foraiaiBt 
eaidam i ca imponico in oftio aucfeneftra alicuius cubiculi^iAo, 
ucpars ancerior pupiliam concinens fbras vergac excra ctibiciu 
!um, pars ver6 pofterior denudaca vergac incus : deinde cubicu* 
tum^enicus obfcura , omni lumine exclufo. His eciam pera- 
aisyU objeda ante oculum excra cubicolum pofka finc i>t>eiUo- 
mrnaca,videbisiUa per pupillam & omnesocutihumoresradfam- 
cia Jn fundo ocuii denudaci fpecies /uasunii cum coloribDs ica 
exad:^ exprimere,in verfas camen > uc penicillotiepida videaCor 
Experimencum fecic primo Romse infignis quidam Anacomr- 
ots, ji quoid didicic PMircherm^ & fimiiicer fecic, uci & P,Schtine>^ 

rt^s^ 



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Magia Paradatica. 20) 

TMi^F^Mccbim^qw, (uc dixiraits fuprk liba.ln PracludOpcicis; 
Pracluf 5.) iaterquos fiiiciP. nofter Georglvs RiheliusMatbefeos 
in Moguntina Uniyerfitace olira ProfeUor. ^ 

PARASTASISVIL 

OhjeHa qmUhet in tenehris exhiberej^edtmda^ 
omnifrorjks lumine exchfi. 

JOfephus Bonacurfius^Vir nobiIitate,doi3rina,& vitx probita- 
te RomaecelebriSySc mihi0ptim^notus>cumaliquandodelu- r^t^^ 
ds naturs;, reconditioribdsque effedibus ejus difiereretcum P. hk. 
Atlianafio Kirchero , afieruit inter aiia» experimento fibi confta* 
rcifieri pofi^e , u t quifpiam in tenebris objeda non fecus ac in me- 
dia luce conftitutus yideret» totumque experimencum a (efa« 
dum ingcnu^ expofuit. Paradoxi inftar res prim6 habebatur » 
atpoftquam rationes adduxit fua^ afi^ertionis,ftatira apparuit 
minim^ fallax efiTe, quod tamprobabilifundamentoniterecur^ 
Experimentumigitur& ipfeKircherusaggrefifus> deprehendit 
non tantum rei veritatem,fcd caufas pro^nditis rimatus com* 
perit,multa in eo la tere>qua: ingens lumen OptieaD facultati pra> 
Derequeant,8c maltarum difficultatum enodatlonem^ 

Experimentum propria tnduftria ita au (\;>icator. In loco ^^^, 
quodam qui perfed:iiiin[\e claudi pofifit^itaut nulla ex parte ali- mgluHm 
quld lucis afiulgeat, relinque ft^neftram charuceamjin j^aquc^^^^^i^ 
imagines quasUbet, vel potiib urabras tantum rejrum depinges 
fit autem feneftra illaSoli obverfa , ue ab e6 perfe<^^ illumlnari 
poffiu Hoc pera&o , fixis oculis charcaceam feneftram , & in 
ipiadepidamimagfnemintueretaradiu^dohecRindusocuIilu* 
men & imaginem perfed^imbiberit.tClaude deinde feneftram, 
8cin tenebrofoloco pone oboculos chartam candidam} vide- 
bisque in ipfa charta velutl auroraro quandam confurgentem>& 
croceo prim^m colore > deinde rubro » mox punifeo , demum 
omni fer^ colorum generedepidum orbemt ac veluti Iridem 
qoandam pulcherrimam : deinde intuebris figuram feneftra: 

CC a inver- 



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ao4 . Partisl. Libcr iV- 

iover(am} quac taodem in ca^ruleum colorem pulcherrimum 
rubro inceofo mixcumdegenerabic Imago vero in lucido cir- 
culo,mod6 nigra, modo flava,fubinderedar&rubinde inverfa 
comparebic Omnia denique in denfiffimam umbrara tandem 
vergeac^con(umpcis fpiricibus in oculb^fpeciebusque cum iu- 
ffline ibidem ancea recepcisevanefcencibus^rmagooriginifux, 
id eft}tenebris reddica>oculos fubcerfugiec ^ 

Hqc eft Experimencum ; quod omnes curiofos Nacurar iit. 

mMieitid' dagacores obfervare jubec Kircher$4d\io.i.de Lum &Umb.par.t. 

dim ^««Acapj. Circaquodip(einquiric>quomodo eveniac>&air>luracn 
& (pecies rerum per pupillamincraoculum recepcasjmbibiia 
fundo oculi, & aliquamdiu perfeverare } non fecus ac lumen im- 
bibicur intra lapidem phofphorum in agro Bononienfi rcper* 
tum(de quo fup loco agetur)6cin eo aliquamdiu perfeverac, 
adeo uc in tenebris eciam inftar carbonum accenforum luccat 
Cum aucem pupilla oculi,quas in luce exiftens conftricfta erar,in 
cenebris dilacecur > fic uc imago , qux adhuc in fundo oeuli depU 
£tz perfeverat , per dilatatam pupiliam in oppofitam chartam 
^ candidamradiet,ibidemque fe fpcdandam pra:beat>invcr/am 
tamen,prout in ipfooculi fundolnverfa eft. Sitenim chartacea 
feoeftra cd» in eaque depida crux ab; &ocu1us 'ik intra 

Vidc Fig. cubiculum exiftens afpiclat eam. Radiabit crux a b ufque 

'"•^^^'^^adpupillam oculicooftridam l, per radios^A l^B l, qui in l 
^ ^ decuuaciiperveniencadfundum ufqueoculijbidemque depio- 
gentcrucem op inverfiim^quoniam pundum a radiatin 
&pundum B radiacin o. Claudacurjamfeneftracharcacea 
c D, & cocumcubiculumobfcurecur^acqueanceoculum tenea- 
curcharca candida ef. Apparebic in ea crux gh> ficumha- 
bensconcrarlumeiqueminfeneftra cd habebac,hoccft,in- 
yeHum,Sc prorfus eundem quem in oculi fundo babec Hirios 
rei caufam eam cSe dicic Kircherus,qu6d pupilla in ceoebris di- 
latacuradfpacium vg. mn, &in)agocrucis op iooculifiin- 
doperfeveraosradiacperlioeas og>ph, ufqueadcharcam jef^ 
ibidemque depingic crucem gh. Acqueexhocpacet> qu6d 

imago 



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AiagiaParaftatica; 20 f 

imigo qii)e in charta candida ap|>aret,non fitphantaftica/ed ve^ 
ra& realis^alioquinnon eflet ratio^purappareretin {icucontra* 
rio ei>quem in charucea fencftra habuie. Quod autem non 
femper inveria appareat dida imago, in charta candida^fed in 
priDcipio habeat eundem (ituin quiem io feneftra habet.haxi^ 
puco effe caufam ^ qudd in prineipio pupilla eft adhuc cbnft^^aa; 
ideoq*, radil imagi nis in fundo oculi qepida^ decudantur in illa^K 
radius pi defercpundum p in dcradius ol defertpuo- 
fium o in H. 

PA R AST ASIS Vlfl- 

Vtaccenjo Iwnine in obfcuro tocoappareantjer^ 

fentes permHmm dijcurrentes. 

cliarta leviffima efForma ferpentem tortuofum > Coloribus Riprifen^ 
•*^congruentibusdcpidum>proutfigufamonftrat Ipframen-'*'^'^^'»- 
CQmubi A, adglutina fragmentum vitri paululumexcavatl,^^^*^^^^ 
autlamellam aliquam exiguam fimiliter excavatam. Sufpende^irif/iV#- 
(erpemem ex ferrea virga a b, ut facillim^ circumgyrari poflit,/^*''^'»^''' 
V^ombenteexcavatovitroacumini a virga^. Hispraspara* 
c^eonocavirgam ab cumferpentefu^enfo inoWcuro tubuy^ ^^^^^ 
cnlo,propemurum *> & infr^ colloca lucemaln acceniam; ^^^ui.^ 
ealorefic halitibus furfum vibratis^in gyrum movebit (erpentem> 
umbra vero ferpentis in muro apparebit^repentis> 8c afcenfuni 
tcnunas (pecie. ; > 

Alher idem (peAaculum exhiberi poieftper intcomi/fio^ 
oem fpecierum in locum ob(curum»fi nimirum velin parieteauc ^ 
feneftraaliqua obfcurati cubiculi , aut in uno cubi paraftatici (ii« 
pta Paraft. ^.defcripti laterei fian t multaforamina minuta, & fi? 
biinvicem vicina>extra ver6 foraniina illa ftatuatur ferpends 
cortuoQ ac repenti fim il is imago in verfa : hasc enim ubi illumina- 
tst htxky pcf omnia feramina fui (peciem trajiciet>& in obje- 
#iimjnQrum auc planumaliudprojiciet. 

laatioiieidipiumexhiberipoifitopevlcrAieucrl* ^ 

• • __ri_ 4 ' • /V 

CC } ftalU 



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2o6 Partisl Lib. IV. 

ftalH polyedri^dicemusin MagiaDioptricac.^.Paraftafi^xaf^. 
i.Syntagm.i. Guilielmus P4rtjienjis pan ult. dc Uni verr cap. ii. 
docet j ut rupriettamjdixr^ib. i. cap. 5^. fi juncos 8c paleas Duini 
ftertia^ in concla vi aliquo, & luceraam de cera 8c corio ferpencis 
fulphurato accenfam inferas,YideriferpeBtesfaltantes. Anquia 
snedium illuminatum tali luceroa movetur &qua(ifaltitat>& 
jiiocorum palearamque (pecies per ipfum tranfeuntes codem 

CA PU T III. 

varUmm rerum Taraliafi exjoan. "Baft. 
^orta,alwque AuSioribM i earum^ 
queDidcrifi. 

JOMnnes Baptifla P^rtA io libris quatUor de Miraculis rerum na- 
turaliQmJmpre/Es AntuerpiasAnnoi5^o.lib.2.cap.i7.varias& 
prorlus paradoxas enumerat variaruni rerum paraftafes (eu re- 
pra^encationess quarum tamen aliquasin viginti iibrisMaeia: 
naturalis > quos mulds aonu poft edtdit, & in quibus omnia^re 
quas ih quatuor prioribus libris dixerat>repetit,non reperiunturi 
diltem in edittone Lugdunenfi Batavorum Anno 1651. quaego 
uton Similes paraftafes enumerantur in libello quodam qui 
i^lbertp (JlUgne falfd adfcribitur , quem ego Icalico idiomate 
cdicum Annoi^yi. habeo. Exhis duobus pieraquedefcribuDt, 
6c Idiocis ohtmduntjWecierus in fuis Secrecls,& alii. ^Quorum \ 
tliqua »quia curiofos & incaucos in errorem inducere pofluDti 
placuic hic proponere» & racionibusphy (Icis ponderare^ uc veri« 
cacifuusconftet locus. 

Paks I, Capitis. 
VarUenumeranturTaraftafis. 

frAf$ntB' T\l6tMtn caput ly.librii. exquatuor ,quod eftdeellychniis, eo- 
/fS/il ^^'^rumqfie pra:ftigiis,& quomodo homines equinis> aJiorum ve 

aoima- 



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MagiaParaftatica. 207 

aflimaliamcapitibiisvideantur, fic ordicurP^/^. Pmmultum^ru$x^0. 
toffuw, v$rum4niiijuisdrc4n^hmH/modi ign^rarenturj Mveritati^ Ah99^ 
H^0nderent^uadtifsdicun$nr,i &4b imfepribmfremittuntunNec 
fArumgdvifiisfum , cuminter^nti^nas multas camfererim , quibm.hMC 
fuere curd^ frdfertim AnsxiUa , f&msnd dffertiQmfidem sSibendltL 
Hec p4rum in his inveniendisdeftidvimm adexpUmUm naftrsm hi^ 
ftmam^ecMhrefuerit earum commemini£e , & in medium afferre^X' 
ftrientiAaccomm^ando. Us frimsMjfitefAt oferAtor^&d atia fauUtim 
dtveniens, His prasinilSs>docctquomodo cubiculumcoiorattihi 
mldi poflit perlampadem accenfam > ut omnesadftan tes colore 
quovolueris^imbuti videantun Quod eciam repeticlib.to« Ma- 
gis naturalis , & nos dicemus libro fequenci in Magi a Chroma- 
ticaChromatifmoy. Subjungfcdeiiid^diftdFcap.ij.&feqii^ii- 
tiiS.varias^ &primoafpeauviM»ii<^^ 
easqua?fequuntur« 

PARASTASIS !• 

^lgridbJcdmU Jdcertis cdssdas^ei' ftilU^frdliurdemtmAns lucidm 
excifiMtitrvemuUistdmen fUresddunakis \ efr fdfjrdceumUcium 
vel Jfsrteum injkies, ftfoterisy okofermifceto. Sicargenteo coUre 
emnevidebis ferfufim. Idem docet ffiuM-K^AlhertmMdgnuSy ad- 
dcDsftillas ^caudalacertarum nigrarum abfcifla cadenteseffe 
a^CDto vivofimiles» & licrum fuccoiiloinfedumcollocaride- 
l^eiexntralampadem novam,atque acccndi.. 

PARASTASIS It 

adfianteslumimfine cafitihus videantur^ 
efiicere. 

hVrof^memum fabtitijpml tritum novs oBaexoUo JindsebuBsre'^ 
mcdfsrefueritJifilfhurimmiJceds^ofercuUolldimfofito, ni cro^ 
inuevolit vdf^^novdincendemkccrnd) ei^ddftdntesjntcdfitibssst 

(hn^ 



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208 > Partis I. Libcr IV. 

mdnihiis viJehunturj^cuks digitU camfrimendo dum c$mdeU dceeW' 
ditur, idque fauUjper videbis v$ fieri foterit^ Pfcudo-AlbcrtasMa* 
goUS ncnabct. PigUailJpogUo dt vnferfenteyorfiw^entp^e fea^dci^ 
i reufontko.cerAnu&v&ie fdgimentodiAjinosdeftriddPgnicofi^^ 
in vnafignata nuova fiena a acqua^efa boRire dlfuocolento^eUjcidrd- 
freddare^efannevndCdndeUse tuttiquelliche Jlardn kquel Umejfare* 
richfJidnofinzdcapOf Hoccft. K^ccifeexuvtasferfentis^durifig' 
mifftutnificemgrdcamyreufonticum.ceramnovdmyC^fin^ 
teri\ dcmifci hdc omnid , CT* fonein aHam novamdquA fkndm , <^ fac 
imBireddignemhtBtimfmedehderefrigefiere.&confi^^ 
§mm M fmecdfite. 

" :'P A k A ST A SIS III. 

lumtni adfiantesgigdntum fbrmaa^fa-- 
remt^efjicere. 

'TNOcc^hpcP^r/^lib. 2. (upracit. cap. 18. his vcrbis. KjdUqui fo^ 
^^ldm Ipeciemyqttdm dlchdchegnivocant Arates,delfhinifinguediffc 
^onfciunt/vnguento mdcerdri^oUigi in^dftillos curdntydr vaccinifier^ 
£oritfUmmdferuruntdebiU \ dtque eregioneddfidntesmajori hominis 
formd vifitntur > quod mdximi evenitf fijpeddntes decUvtJpeSiati loco 
morenturaUiori^vtfertingensrdditishominiscdfutfumma feridtteHi 
Uqttedrid^odemque fheSentur dngulo^vt eiufdem videatur altitudiniss 
quod ddju/vdtur meaij crajjttie. Sic fife no&u in crefufculis duhio fiilt 
Lundlumine^^elfibnubetdti^dnte^dcciditin ftemoribus^vbilu^cf d- 
nimdlid coeterd montiumnemorum^dltitudinemfuferaniesvtdentuft 
vt fhdntdfmdtd futent. Efhomines frddmbuldntesvidtoribuslucefih 
modicd^dibtisterrdm^cd^itedfirdfertinprevidenturymontiumma^ 
pcimedfienfuy &cum frofe fint^miUidrio fere diftdrecreduntur, tamditt 
metum(ubfe£lorefirvanteSf quamdtuSoladveniens illuftrdverit om- 
niaynecdtjlantialatet. Neme diequodam itineris longinquitas deti- 
neret, maritimum iter inire decrecueram \ maneautem erat yfrimqum 
diluculdfJeShincertd lux fecit.vt med ftatura,qud hominis ferfiUamnon 
Attingebat^nautdgigantum ftaturst fimilis vidtretun eminentiorterm 



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\ fimaLcructmumenuUmdntemmcdereU^uits dumquecaufimexcagU 
' tdrem^rdiJmibi&v0luptatifuit.?Ccud^ Magnus ficha- 

bct. AfdrefdrerejgUhucmiminformddiElrfknti. PigUdvndJ^e^ 
ciechidmdtddkhdchegni , efeftdU, e canfettdUcon dl^Udnti^ ^^g^^Jfi 
£Delfin0,e fk diejfdgrdnejticomedicedros feifdfum&diejfdfifrdil 
f jfu0co diftercodi vaccd che fi monjid , epd in cafi o Uogo doue mn pojfi 
vjcireilfumoperUforta.eUcaJddidentrofiaapiepianotcio e fidterre^ 
^ noi Imferochetutt$coUrochefirannoincafayParerannoc0mehuomiM 
1 ffdndiinformdi ElefdMi, e diCavatRgrandi^& e cofi frouataaffai 
mdrduigUofd. Verbafaciliintelliguncur abijsqui launum intel- 
liganc , ideo in torprctationc non egen t. CorneUus A^rifpa lib.i . 
Philofophise occulta: cap. 49. ait. Si centaurea permtfieatur cum 
melU dt, fanguine vfufd , & fonatur in lucerna j circumftdmes uffai^e^ 
hunt foUto mafires. 

P AR ASTASIS IV. 

%)te(juina W afinina videantur adftantium 
caftta^effitere. 

i (2lvif4uumf toquit Porta cdf.17.vt equindveldftnindvididmitr 
^ddftdntiumcafitd^difticiUaggrederUofm. Vincettdmenoferufi^ 
r duUtnsreidtfficuUdtem. Eijuodbfiindecdfut^velajinojnemortudynh 
f Unguida fit virtms eiufdemquecafdcitdtis fiBiUm fabricato olUm , oUo 
, , fUnam yjuk^ fin^dine , vtfuferermne^yos ofercuUto , tenaci^ mff* 
nids Ut§ \ ignem fibdeUntum , vt fUneiuUUnstribmfirveturdiebm 
l okum,eIixdtd^cdro in oUumcurrAtM nuddfieHenturoJfd s fild tunJi'- 
r /^ofla fciUcct) fulvis^oUofermifiedturiquibmddftdtiumcdfitdfer^ 
iM ungantur \ftmiUter in UmfadibmftufeifunicuU in midk fiatudntur^ 
A ,McfrofeMcUngftVtresfoftuUi\&mnftruofofi^ Ex 
^ ^imukddifcmcfmfonere(dftsinimJUxf^^ 

^ tuitor. ExbnmdttocdfiterecenterobtruncdtoeU^umoleumdnimdli' 
1 Uufdciemhominisinducit^ SicvdriisdnimdUum a^itibmmonftrtfo^ 
1 fwTdreddes corfordftiis dccenftsUcitsiUuftreturdomm. 
I dife&orf%namvtidrcdnddbMtiquis€eUbrdntmr^ necitdfdciUterex 

DD eorum 



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Vid Partis I/ Libci' ^fV. 

€orum erutttir diSiis. Aliter umen docet K^naxilams,nec irriie. tquo^ 
rmn virtu k coitu accipitur , mvii^ kmfadibus ellychnfisa^cenjitm^ h- 
xwnum capta , equina vi^inu^nprtjtce utd^riu^tiiui^ 
^r$ditur. SiciUudqHodafrUmvocantinJuWtiieuM^^ dtceptm 
enim accenfum tdem fr^Jlat^ Sicanimalium reliquorum auricuk* 
ribtis accenfis firdibiis. Hacc Porta in primaquacuor librorum c- 
diciooei quas camen in alcera viginti Uhrotiifn ecf^cione Lugdii- 
nenfinonrcperio. Pfiudo ^/^^'r/»^ A/dfg»«drfiminahabet aitenim: 
Afarcfarere che f huonw ha bia faccia dt cancypiglia ilgraffo dett^ore- 
imadelcduej vngi conejfovn focodtbomhace nuovo^ e foniloinvni 
Ut^faiUnu^va dt vetro verde.eponi la lucerna fragli huominiyeved^ 
rannofi hauere la faccia di cane. i t e m . Afareche la tcfla delt hu0m 



AiA> 

aliorum quorun^vis aninrialium formis^quos ohiitco»' 

PARASTASIS V, 
U wuis plenum domicilfum videatur , efficere. 

Crmdeflorefiere jdmincipietu^Sy vasfmropknttm^leottcc^mmode- \ 
turinfra , cui raeemum cunffrondibtts immergao\ firmitnr^nehipu 
indeconveUatventtts', fertttUud Soh oferculttm gj^frto ftfftUicMktOy 
feliSfo tamenforaminequo petiohtsintromittatnn ita immorMrifimto: 
vbi ferfeBam recefetit uva maturitatemjinteo exprimittir, exfreffm^ 
qut humor fervaturin oleofitu diebttd fauck : lucernk Wmurn actetifis 
omniauviscernesiknajfrondibttSy &arboribiiScircumtimffkrividehe- 
rit, vhifortaJfiarhoresfrorftetCttrentfronMtts. Inaliisverofrultthm 
vtitor 5 idem Otim arhitrorfrttfiarifoffe. Haec Porta cap.illoiy.ilbri 
'iecundi,t]ux camen in utcinta edicione non reperiuntur. Coni^ 
n^thx^ rfiudo^^K^lherttiSiMa^W^^^ 

ideni ex aliisrefetc lib jl^dlccttlca: f^il^^^ 

phia:cap.49. u 



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- Magia ParaSacica«\. ^it. 
?AR ASTASIS yi., 

^Stnii AltertmUHd^Hm Icalicus ita habet. Piglk delgrdjja del 
* fimnteiqual tu vugt.c^ vn foco di fiU poflo ia quello^ e togli dehm^ 
n$deueffequie^tdglid quelioin qudttropartiyepoifrendt deUograJjo del 
frpi9te,vt/uprd, e poniquelloincdddun pez,7^ diquelPdnnome£eqme^^ 
efiUBe qudttro paveri , poifili in qudttro Umpadinuove c^noglk]^ 
Jsmtucinorck' ponili in quattro Cdntoni deUd cufi 9 e fara come ho deito. 
Hoc cft. Accipe pinguedinem (erpentu quem volueru , & immifcetd-^, 
im fiUis dccipe deindepdrtem pdnniexequtdrum , edmque£v$deim 
^muorpdrtes idccipeprdterea pinguedinfmjerpentu vtfupra , &pone 
wnuatudrittts faftihmexequiarum , &fac quatuor eHjchnia , &pone 
iHam^uatuor Umpadibm novu cum oleofamhuci^ & coUdcd in quatuor 
dupJifdomm,videhug^qu£dixi. 

PARASTASIS VII. 
Vt homo tria €aptta hahere^njtdeatur. 

V^^txdiPfeudd-K^lhertmM^ vcrbis. Tiglia de* peliet 

^dfudmortd^ fk vn fajjhto^ e fectali \ e pigUd delU medoUd delt ojji 
frincipdledelUjpdUddeflr^iefneJcedd conUvergdvirginea^ponifoprd 
illimite daJU forta \ e queJU fbeentrardnnodentrodelu portd ^pdrerk 
^hebabhidntktKecapi^dccepdendo ilpauerotutto.deUapredetta mijinrd^ 
6:merdquelUjcheentr^rdnnOtpdrerdhdu^ Sevuoidn^ 
ttra fare che t huomo parera hauirecapo d" ajino , pigUa del Jagimento 
Jelt afino^vngiUteJddelt huomoconqueIU,c^dppdrerd. Hoc cH. 
Acciped( pilisdfnimortuit &fdcfdjcicutu^drjiccd \ dccipeprdtered me^ 
MamdeoffefrincipaUhumm virgjpjsa^ (Jr 

foneJi^erUmi^dridsUmms & omnes ingredientes per fortdm^ vide^ 
^murkaberetridcapitdftdccenderucandeUmexJitpradiBamixturd 
(9nfeBam\drinffredientesetiamvidebunturhdberecdpitaafinind. Si 
vit vkeriits vt homovidetttur hdbere cdput dfini^ dccipe ftnguedinem d- 
fm,(^vngecumipfacdputhominis^&dppdreHtquoddixi. 

DD 1 PA- 



212 > Partii I. Libcr I V, 

PARASTASI8 Vlih 
pfhcrmnes mformaAftgehrmna^drearrt, ^ 

TiStui^K^>tU>erf$»f\ddioctx&c. frgUaecchUifefceteglioccUiit 
r eJmdgUtetritiUictnmm*yfeJltndoU,ememBinvn^Vi^cdhktrt 
ferfitrepormiifeiftniUsUtfitantoeglia, e ceneJ^&feniinimUm' 
f^deverde.e fotiiUdutmti i coUrochefono m caft, efarerannoinfmu 
V AngeUi^chefira axcefi k Umfads, Hoceft. Jccifeocu&spjcmi, 
' f^oculesojhsgidt, (cftaqoitefpecics, quamoffifragamvdcantii» 
SrciHa , ubi eam viAi) C'trre manibut, acnndefijmo ,aejoneintrt 
vasvitreumferdiesfiftem^dtindeoffonefarumoleit&infundelm' 
X fadi viridt,eam^cotlocd anteeoFftiirrdeme fint,(^dffarebuntinpr 
j[ngel$rum,(iuamdiuacetnfi»ritUmf4(^ 

Pars FL Ca^itii, \\ - 

T>iacrtJtsfrAdt£farum(rarafiafkir», 

«f^"»^ P K^thsntfinfKirchems Vh. Kj.<fidLiice&:lImbra par.i.cap f 
JJ2K« ^ •DiacriUnlnftituensnonnullarumcxrelatisparaftafibui.^ir 
Mfc»$». Ct idfeccrc^, partim ni cBriolr aovitatc rci ifledi fn erroiTSrgri* 
yiffimosincidant-.prtim-etiamtirfolli wieas, expulfijomnibi» 
«wwlS* fticis&irapofturlsi Dacumin vcntat. Examinans deindc nonnur' 
|i.r*/to/« ^s.roiris raodls iriridct atqucexagitae PorVam ,& Pfcudo Alber- 
^T* * cara Magnum,aBosqoe quifitniRa exipffsrcfenint, &tanqoanr 
Tcraalnsobtrodunt: Infincaddit. Tpofie, LeSfnr,fiiatmm 
'ViieMcifcahuiuJino^tinfMimverfirrSocenimeoX 
efiMcuriofi&imferitaiuvtn^sfibiabhnjuJhffdfcommentktfMie 

twn rarofa&um, ilUtJiones^ DamonuminmMuntur , omnijtm»»- 
veatsife^vUaratione Hlis ajfentiarur» nifijeeundum JHatara frincifi 
friusexa{taratiitnistrutinaexaminatif,in0mnibmnonram^dft- 
Bum, <iuamtjuodfieridebeafy fibiferjuadeaf. <Muha temfusafertf^^ 
Authoribusnoninfimarfirfufajpmcifata,^ua:frater»fini0nemm»i'' 
fiholasetiami!hefenfia,exferientiatamenrerummagiJira,fa^a,mef' 

itciAy&;^nafucUimfopiris^eJfedacMtiCOmfrobavit^- fuN^ttrt 

imtttf 



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IJagialPiraiaticiiw 21^ 

imitdimniH$nqMh€t yfedid quodniOnrtt^ferAMm fnammsxim^ - 
ionJentMeum^ eHgendnm efi. Hacc Kircheras^ 

EgoUcfateor , nittluin ijs cootineriqiKtveritatirepugnaAt» Aumm 
idnumvit in phyfica fumfamentufn habent^ fi hitdligantiir ot «^«^'^ 
TertralfbnaiTt; ita non aadeo^niareijcere, necnniveri^aK^ JJjJJ ^*' 
cerbiorialrquacenfura notare > & multa putoin fanum fenfum • 
traiij po(re)& nec veritari, nec experientix repugnare,prasferrim 
qux Porta habet 1 n (ecunda editione cttata: nam qux ex All;^ i 
to rcferunturtraagj5(urpcdaruntd«fuco»uttipfiimet Porta ali- 
c^bi hi etur. Scro>do&orum viior um ^ui Secreta fcribunt^fcri^» 

^ pta non femperadnudam litterara^utamnt^eirernterpretanda;^ 
£cfubindequ6clariora videnmr verba> ed maius fefrretam liib 
ijs la^t. Bene ergo exaininanda funt» & accurat^ expendenda 
no nadivprymtantum qi^ae adhibeotur > fed paiCyorum etiam 
natura> prpprieutes, alia^queconditione^ > antequain fentenriai 
prascipitctur: non enim minus reprehenfionedigna eftnimiain 
non credendo,quimiactedendopronitas. Prx^atetiam fubin- 
deiufpeoderejiidiciura > pcarfertim in rebus quos aviris ahoquin 
dQdlsafieruntur. £xaminenuisnuncfingula>.& quidnobisvi- 

I <{eauir>^^iamm>nonaIioanimuquJm[iiKveritateminda^^^ 
concrour»; 

Diacrifls Tarafiajis L 

A I>Chryfoparaftafrnquodatrinet,utdomttS feuconcIavear>>^ 
genteumapparcat>nihiirncredibileineaafierimibi videtur,. 
fiirerum eft ouod Pfiudo- Atyettus Uagnns addi t , (uccum (eu ftiUa» 
ex truncata tacertdrum cauda effluentes cfie argento vivo fimlf 
les. Experientia cohftat>lucemas ex varits oiei$,coloribus,fuccis>. 
dlychtHis prJtparatas > varris ohic£kz illuminatatingerecolbri- 
bus, uri dicemus Hbt-tbfequeBriin MagiaChremarica 5 cur erga 
loctediblirautabftardum vrdertdebetquodibiafieritur; 

'Diacrifts^arafiaps tt 

A D Acephalc-paraftafipnqttodattioet^utfinecapitibus &ra^ 
^ aibus appateant adilan tcs lucernat dii^o modo pra^parata?,, 

DD j ficrii 



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fi€(rp0t»ftiVt%6ciesc9cn^ qMiin yuIcu,&,QMmt>iUfifti. 

ica abforbeantur aut debiU^epiif r^i^incdi o d^^ 

nato^ tti¥fl?l^j4.y^AMi^ P^rpqg^^nt, y.eleu^poiimo. 

; Vkie«tel4!«^iq»eiaj¥>d(xe?enir9j in acre,vaidc.Yapi. 

din: &^ l«inNsd#|i(k»^c vixfadcn^nanusasaliorum yideamus» 
ceit^ncodifi^.^namusdiftind^» vefW vero & reUquumcorpas. 
incegrdaividMnusaq#i?^Mmus. . i 
- \h <^ r:<i)iacrifis ^aralUps • 

AD Giganto paVaftafin qMfped^t, ut bomines fub elcphb. . 
tum,magnorum equoruitr>im6^igantumfbrma,fa6ceft,ma< 
gnitudincapparcantinihil incrcdibdeibi pffcritur. Potcftcnira 
fumusaliqtiis cxcitatus, auc vapor itacdndcnfarcmtdfumtmer 
fM^^m^ tntericaum, utfpeciesobicddratTiper 

ipidi^cla^*^^"'^"^^^^"^ vchemcnccrv ot obredumirifumfob 
magnd valdcangulo repraefenteritoculfsi adcoqv fublongima- 
jori magnitudincqu^minfereverafic. Conftatcnim cx Anadi- 
(^cis4iB/efradfonibus>& explicabituri nobisin MagiaDiopcri- 
cajpccicsinmcdium denfumJ rariori incidcntesrefringfslcc^ 
dendo ad perpendicularem , & iterum h dcnfo itlo mdSio iflf ra- 
riusmltudinddentesrefrfngirccedcndo k perpcndiculan^icieo- 
queobieftumperhuiufmodi media vifum rcprasfcntarifubloQ- 
g^matoriaogulo , ac proinde long^ noaius yideri , qu^m in icipfo 
fic. Videnusidqtiptidiefiert in Soiepricnte& occidcnteiqoif 
dtmi atnfu^tphapt^ p^^Ppc horizonteroeft multis vaporibus op^le- 
caimuIt6'raaipr-apparetquamaii4s^&aItior4tquee^ 
pia horizonteifl>qu4m revera eft, «t dicemu&mclius inDiopcrl- 
ca Magia. Eandem ob caufamJn mari appKcnt aliquando,pro- 
col^cSkantibu$>InfuIa:>autftopuIi>quiaIi&temppril>u&nopap- 
parent', utmdiiesmifaicontigic in varijsSiciliaBurbibu^fnaria^- 
jacencibushabicatici^ ^ qqibus Melit^m & Gaulum verfusAfH- 
cam,lnfulas Liparenfes, Vulcanum, Stronjgylam, aliasq; \gnm^ 
mas Infulasverfusltaliam^fxpediftindtflim^ vidiadmaximam 
etiam altitudinem^Ievatas» quarum tamen aliisdiebus , zttt i 

vapo- 



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XlagijLPaiadatkfl. >2if 

egpttorifCAn , qui ci!tmminynitk>fic«m 
' tamiptertlao^}>ropagoacuta TtidUoie3Kubi{uageffcrivb^^ 
ibgeiitft*^ prorfus gigantevrftatorse atimtiins^lHHilijMai & f>ro* 
pugoacolonnn, oaaverfus iegradieatem / & tuuco ^ 
matnfbflam aquisrepletanrfuperareteotaneefli»\ oti^ 
* xtLT. Goh0rruttade& ad hQVfp^xculomnH^s > uteicaoibii»id 
«mranii coi¥liifrit, & nMlMrdiebusrioqoeBGBfaoiikatecaj^^ 
'N^afiddl^fe, ahiqofc^i pBrfoadebantiqQ4ai.fpoftfumiUo(i 
fbfll^' l>Miderimeg^AMMem4}U^T^^ 
goad^^t^afftationcm per no^remfoidomunciiliiittadani 
piiH^re habebant; egreiliim hdAnmaisA^^ pmpogoatf iiji 
iralfiMb^VeHbs portamiiterttrrip!Uiie)6cx)ufaiafeincek>p^ 
(jBft^pfbpu^aculum ex vapodbiis^ftiilaeleTa&iQeadeo 
fatAMtv Vifum a ftrf(fteexcubias'fopra portam ageacefttb jeaAi 
vaAa & horrifica fpeae. Ruibcus in Lttihiraoia fiih ccepukH- 
lummattMnumvfdens lopumfimul&proceramafbot:em> m 
pofitlone ; u t radius f\ (aalfs ftt lupi vemiccm profuius fiimiwitfi 
quoqoeacijoris cacumen^ttiiigereivcredfidit lop 
grucoAtfidiyexatcraare)'^^ contralopum p^ 

digk>i^iiii^ltUdinjs > quiiamentfasladenoonifiQtdioanasma- 
goimdinisraitdepi^cheiirus^ Quodc^gofit^dtinobtedunpej: 
fncdhmi k vap6ribus do»^enfotiM>(peaitur ,.fierietiam potell» 
dttadfl^^jrtorperrtiedMtoi^ fun^ 

tuf an^iem' i Porta & Pfeudo^Alberto Magoofupradi&aadiiibA- 
rt, arquecomburi in flamma^ vaccinoftercoreexficcatoaxci* 
taca>.quia fbrtaffis eximiam virtutem habent ad mcdhimooifc- 
denGM^duAi* ' . > 

* * • ' " ^iacrifis ParafiaJtsIK ' 

QUx Porta Sc Pfcudo- AlbertusMagoii&ibircaOnoparafta^ra 
i&oyw^P.ifi^i&rmhacDotatcefiS^ V^(^crfmffbm 

fqmm^mt Mfkmitafiik tk§ knc iftiif^i/t^fmhiiiijb^ 

anfi 



**ur«i t Ub. IV, 

nU*Uicetu Uq«9rtm»m»rsctf$tu4finmh ^fftid cff}cMtm,tfcaifim 

fmtinun&i» c*fitulnnn4ntcttm tUfi^npf^r^jUtice virmit b^ikes^, 
gdhominem ejinine e4fite tefrdfint^nditm , mutto minmeemiferefef' 
finhciim nec vUnrnin Neiwi^imdttumfrincifium htf4ff4ret,ex f «r 
^hecfhsntejine anef4r4ft4ticumdedi(cerev4le4mm. Pefgttd^indf» 
^.ait,nec capotaiiiiiaQinin oleofiUxatufiirei>(ibiI^ia «pogn- 
ram fuiiroprimerc poffe ncc! okum ilkMl j>oflecapitis rp«»^ce> 
pr£l^rever^&realtter,fNiadrumtimperillu(ioo5acpraj|^- 
«s diabolLEgoputo,fi hoc telint diAi Audores.Teram ^ efficacc 
efleconfutttioneWrchai.attolerabil^cius cenfuram, C^ttTO 
exiftimo,didos Aoaocesid oeqoaqiiam perfuadere vQlutOjp^iol 
tattdlmaflcrere,homiDesaccenfo ellycbijio itapraspara^appa- 
Tcretam>U>Dgisattribus,oretampromioente,totocapitecamd& 
formi,utafininocapitieorumcaputfimilc videatur. QuoieO' 
^ idem P»rt4 in Catoptricis fuis ait,confici poffc fpecula , i n qai- 
bus homiots appareant cum caotoo, porctno, afininocapitc; 
non qu6d revera videantur habcrq.eiutoodi capva». fcd quod 
proptcrfpeculi vcl protuberantiai«*«ol dcpreifioncmio mcdio, 
os,nafus,alia3qHe parbes pcotttberare,vcl alio .mododifponi vide- 
antur,ut ipfemet explicaf Noo tameo affcro , hanc onopara- 
lbfimdi<aismcdii$exhiberipoflc,fedvanarooi»oipo,&avcri- 
tatealieoam«ffe. Moveor ,quia kjfemct Porca, qu6d juveois, 
«ullafada^perieotia afleroerat iheditiooequatoorlibrorum, 
feDiorfaaus,iaoditioocvigiotilibrorumomifit,fortafliscxperi- 
eotisldoaus dereivanitate acfalfitate. Addcquodmulta ibi- 
dem prxfcribuotur,qu« valdc ridicula vidcDtur,8c oulluroia 
veraPhilofophiafiiDdaraeDtumhabcoi,utoptimiarguitP.Kir. 

cfacnis. ' 

Diamps ^ardfia/is V. 

PScudo- Albcrtifta<>hilo.pataftafia , qua domum fivisplenam 
eJihibtrc fc poflcptiiat,his verbls ceofot Kircherm. Pnkie* 
finivtrh, &4dfefpt4^ndttm mir^e <tmf«ftt4, Sed ninmeri. 



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dmtstmrkt vefmm$pu mercei fieciofis vertu divemdere. ^uje enim 
leeimditdm > nem M$tmmmem gdmdimriimem eleve* 
mirejed & eteifemetretieimemmcerdtMm frerfmim dUmdcemfe^mmde^ 
gtm^jetmrsm i DdtetdmemjtemcemceJJiiddmetmritdtemeem devemirei 
me fmu ex frieri rdtiecinie nejlre nen videt , uvd exprejjd Juccmm elee \ 
ferm^ftmm » mihil virttttm iutrefrdpntendmm ebtimere iFe^m igiimr 
€xferim$entmm,drc. Afkotior Kirch^,quia puto pode quidem 
di&k radyn« pcatpartco ell vphnio exmbei:.i colorem aliquem ri* 
ridaniatuvasfcrarlosexftibertpc^c&Qacrcda^ *^ f | 

Diacrifis ^araftaj^ FI. d ^111 

QUas de Ophio - paraftafi docet Pfeudo- Albertus Magaus^ 
atftimo cum Kircbero noD folum falfa ede Jed omninofu- 
pcrftidoft. Ciireoimadhiberidebet pannus exequianim^ cur 
diyidim quacuor partcs,& fierl quatuor ellychnia ?cur eaaccen- 
didebentin quacuorangulisdomus j Idem judicode VliPara- 
ftaH ParaftafisVlI l.nihiIimpofljbileairerit»dummod6 
velit>qu6d pulchri ac rplendidi inftar Angeio* 
rum »non Angeliappareantho- 
: miocsr ' 




' EB LI- 



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2lR 




m 



DE MAGIA CHRO 

jSiATICA, 

pe b^^jn^^^ eflfedibus colorum Na«ira 
& Arte produdis lo phntis.,miac- 

];alibus 9 amtDalibus ) ^iif c|ue ' 



ibu5^^ 



Celctfis 

•acoiadif- 

ficiliftco* 




P,R O OE M I U M. 

Olori^ quem ^x^^^fia, Grdci dp^eUam ^ tam abdita cB 
atque tgnota ^elfummu "Thtlofophis natura^ quam 
tpfipatens efi omntum ocults^ ^ uuUibinon ohytus. 
Hmc tamuart^ dc lUo mter doUostn huna njjt^^ 
Mem circumfiruntur ofimoves x tamqm tnyeteratum amm^ 

d i 



aca ftfut. 



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'1 



MAgiaChrQHMtict. 2tf 
/«f^y ) Ariftoteles, nttnc mothum eius (jiuodeSi^u^^i- 
cfMMPft, num fer^icui termiffoti.^xtremtatemi thxj^ti^^ 
^ma&tattm cvforis tpuc ruifr fettff'. fero^taiiAkonqaMap 
Av^tnpace, aSIum corporis terminati j al^ n<nifamiit*vet&ei 
aqtte ac recentiores , lumen njarte refiexum dc modtfkatum. 
Veri^ptfft ergo nefiioquis?htlftfifhutyf^diumuftut^qm(i^ 
krumahdttamnaturam eonjuieraffitt nectatamfenetttatitft^ 
tmfittfronuntietvity ncucv^ef|>eftiUonuinfo<niK fehalyeilff 
adlumen Solivta intcliei^um noHrum ad ea quse omni- 
umiunt roanife(lil£ma* Sed his omtffis in ptedtumfrofir 
remm hoc cofite nforios Chromatifinos fiu coktmn ^ji&itt^ 
tam a Natura, qudm ab Arte fa^ost certt in ijs colores affdrete^ 
fiu i/eri tUt pnt, fiu affarentes ac fhantafiict, 

CHROMATISMUS l 
L'tg/20 qttodam aqttam in omne geiji^HS colomm : 

tingere, 

D Omx dutt degerem , invitatus lin^ c«m Patre AtbapaGo 
''^Kirchero ab Anciquarioqaodam>ad ef^afterium fuum vifen> 
dom, ▼artam ibi Hi rariflimam reperi Nacuralium.ac plemmqoe 
^te^bantm rerum iupelledilem. Incer reliqua verd in me- 
diam procuii t fcy phum. ligneum , rudicer dabofacum » & incer 
auisquuias pcojedum> ac paen^ negleAumidicens fe nefcire quiL 
dem quod fcyphfgenus id efTeciufpicari tameneumhaud Yift- 

Srem e(Ie>c&mincer rbs raras abantetefioribos fuis repofictls 
mt. Poftulavic Kireherus adferil ii^uam. Qua c^^y- 
pboRi ad mediecat«m impleflecpoft modicuiii tempus hi omnls 
geaeris colores aquam tindamexhibaiil,vari6fira,Tariaqiiead 
Mcem & umbram obverfione. Erat nlmirum fcypkus ex 1 igno 
quodain Mexicano candido, quod Indigeoac Coatl & Tlapf- 

EE X zad 



iio Partii I. Lib. V. 

lipMm zad vocafit^elaboratus. Quod lignum alii non nift cotruleo co- 
J^MM^ lore aquam tbgere abtehac deprehenderunh at Kircfaerus poft- 
^^^^qoMSkpoetimf^ donoacceptflec^P^ 
9$i0fu CM ,i)uodam h lAexico reduce (<)uod poftmodum Ferdinaodo 
111« C«fari,unquam rem exoticam , dono transmifi t idem Kir- 
cherus}vanaexperientiitdidicitj idaquam in omnem colorem 
cransformarc Nam in poculum elaboracum>aqua m eidem io» 
fiifom prtmbiatMst carruleamcolorefloris BupoQx red^>& 

Sid dititii^ tn co fteterit aqaa^6 intendorem colorelm acqtttrit 
anc deinde aquam fi vicrea: phialas iof uderis^Iucique expofQC- 
ris> n^ vefti2ium quidem cxrulei coloris apparebit, fed Inftar 
aquxpurxciaram&limpidam»utancea,fepra^bebit. Atfihaoc 
idtream phialam cum aquaTerfus locummagisuabrofiirodtre^ 
x^risytocus humor gratiflimum virorenri referec s fi^dhuc um- 
t>rofioribusIocisobverteris »lubrubruin> fi variorum colorum 
pannis,ali sque rebusobjeceris,varios aliospro rerumobjeda- 
rum conditionecolores induet In tenebris deinde, vel in vafc 
opaco pofica, casruleum fuum colorem refumec. Cauiam hujos 
cnrbmati(miNaturaedabimusinfri^ Chromaci(.fo^ 

Didilieni frucex^uc rerum Americanarum Scripcores re- 
ferqntygrandK eft,& non rar6 in molem arboif» cxcreidt,Truii- 
^}lIiuseftcra(Ius,enodis,inftar pyri arboris/oliacicerisfoliis^ 
«utruta: haud abfimHia; fIorescxigui,obIongiJuteif& fpicaciiB 
dig^fti. Eft fttgida & humida planta,lf cet pdrum r«cedac roe^ 
diotemperamento. Vocatur boc lignum NephricicumiDo- 
flratibus Medicis>e6qu6dadrenumveficatque vitia probatiffi- 
mum fit remedium. lu aucem Barbari pra^parant. Lignum 
aflblacim & minuciro concifum >in opcima ac limpidif&maaqua 
fbficana mraceranc. Hac aqud aifiau6 tnuocur , coqiue yfmom 
Apftridilu)wc,& mirabiIesexperioncurcffedus>fincuIla bumo» 
ram comtnQUoiitt. Vide Kinhtrtim kb»i dc Lucc & Umbr» 
far.jcap.^» 



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Google 



STa^aCHromaticl 221 
ANNOTATtCX 

I 

jLI/^r ^SdMqiu firiffimmin xMethMk^Byibrimlk^^fipefomsticM 
^ 'f£r.t.c4p. DeHydrcf0$4^qm ceru ligmgfMerctfetifMfe^squMm^ 
f$idm eff €rM&dUm$inffiiH§mms iibs ceUres,fms lece citdte dixp^ 



eHRDMATISMUS Ih 
^rte varios coioresin fiores mdtfcert^ 

QlXanu colof um varietate Natura io floribus ludere (bliea t adc#bm ju* 
pculorum ooftrorum oblcdationem,is (olus ignorare potc-*^ 
rtt»qui rofas > lilia , violas , tulipas , anemones , & nmleliortoruiti^ 
pracorumque delicias ignorat. Hic autem oroatus omnis afi* 
uode non provenit> qu^ro ex chromatica quadam virtute m 
/pcrmaticafacultate conteota. Sicut enim ex virtuteplaftici» 
uoaquxque plan ta diutur propria & congrua foliorum, florum» 
Cc fru&^um figura ; itaex chromatica lisdem conveniens cotdr 
' cribiiitur,£imulantibus fimul pnmis qualiutibuSyScfaleamo- 
Biacoiiugl^rebusioexilUnte^tanquam cQforum vebicul^ 
C^amodo vero in um diverfacoIorumprodudioneNaturate 
^ gcraCf^tim^ explicat Kircherm lib.u de luce 8c umb.paf.3.cap.(. 
' Notil»reliA1s,k)Ium hic docebunus exeodem^quS ratione varii^^^ 
^ & peregrimcoloresyquas Natura doribus dcnegavie,Arte inin^ri^ «mT 
ctpofibtack>lcant. Ncfcio enim quo. vitio noftjra ^o^S^^^&^ii'^^^ 
ut qiMilaadmodum io aliis rebus,ju & in floribus, eorumque co^ ^^^^ 
^ briDUS^uxrara,chara>&pliuddedetocuIosinioli^ 

phofi ab Artc^ qbam folita concodionc k Natura proyenieos pi* 
^ duia. Prii!» tauMO quidahi^ca.dc.£^irapant>&&jr^ 

n iamns * , ^ ^ 

TiipIcxvcrunivcHiS^verpIerfsquc flbribus in/blcns color aUf^tri» 
iohortismagis expctitur»qu^inveniatur ,ait P. leAmncs.B4ffifi'4^»t^ 
brrerimh^QictSite noftvalib 4^dccukura.florumcap.y^niger5|J[^ 
iidcli£Ct«4U)%ub£i 

E £i ' ke(cat^''^»<^ 



) 



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Goo 



-212 Partisl. Libcr V. 

befcat, oculosque pafcat jcyancus, qui coclumcolorctio tcrris. 
Hos omoes ait Ferraritts^ hani$e Tabr* edo&m , arte Jndu- 
ci pbflc. Nam fqoamofcis alni fhiaus in iptamct ukrb ioareft. 
'^dlusarborc.actcnuHEmam in hxinam contritus,Higrumi nia 
foccos viridcmi cyani flos In frumentariis agris paffim obTius, 
itidcmqilc arcfjAus.atquc in pulvifculumrefolutus.cyaoeora 
(ive codeftem colorcm dabit. Uftts autcm hic efto ex eodcm 
rerrarit. Fimum eviltitm , vtpote hitmida levitate mtftura alibili 
aptiorem,fumito, & tceto bonofithmtoaciemftfttos eo emm erajftih 
fctilum 9vis excrementum iJoaeamadcommiftionem extennatwr: exi- 
• ''"umquoqtierdisidiicito\nameodem&aceM 
L7^,Z^'%ir,(^adradicesacriusfervadendasvu 

vehxprefpe rttta futH , vetpradiffi foUinis atterutrius terttamctrcher 
t^^fmotartem cum eamaptoitfiinditod-fermijceto.fcrd^ulumtt' 
noinfil»,quodiritrate(iamextranf>Jtt,exeavato:eammaffamtnen»- 
dem demittito : in ipfam medicatam intritam colorawda plantaradi- 
fem deMto : deindeirrigdto,curato,coiito,utmoseff. Ittudautemfi' 
eLhu^^JijfAtbiflorls radicuUs hocirtifciodeUffasmedicandae. Ut, 
ir%ter'exemflum,c^^^^ 

relrmo ficirecolori^Meil^r^imdor enim,docilunumrum om, 
cum perpcuus & pettuctdus p,cotorati alimeHti particuUs radiatio 
hau/tas, totoqueprohe cerpore permiftas, expiSto infiore,tan^uam tnrt' 
nuo in ore mamfeftat. Ha:c Ferrarius.qui etiamputat.limuW- 
oi.r-v.«-.-coIor iftefueA«imunaeademquemaflapr«didi laftammis con- 
i^tide >wfundatuf,fieripoflcutNatura,c^fuopteingeBio treqfieilterlu- 
qu0modo „j floribus vcrficolore pi<aura,coHudentw Artis in vitameoro 
iafciviataudacior. QuiActtamprobabillconjcaura ideroFer- 
ijlri6ic^Fabrb aftrmar, florun! villos ac ftamina,&,qualia vido- 

niusid^roco,capillamcnta, quia flore* concretioois puriorfue- 
cus, & ve^uti difcol oUanguigfu Pt, eflficaciifima poUerc doawa, 
utflofculis aIiis,cao<WPiri, muItipUccm atqueamabileffl 



^ fucuitifaciant _ 
G»Uf»n» Aliamflores colorandi fationcm. expenmcntofrequentet 

«xploratani,prjcfcHbitidctnB?/tariu3fai5-vcrWi. Ulnmfit^- 



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MagiaChronaatica. ^123 

fnlvcrcm: e$ pulvcre teftdm ritc afplcto : mcdidm cdBdidiflprisfUHSMm 
MjkrcHlumcUpMn^t^niqmdinfufihtmtmi^^ hn- 
miishdnriat^w^ ^fHiai^frdtcrciuMmc^iUi ticftarM Mjfundds^ cMVCtc. 
§lufrefpf9mfBiUn(t{titrM pluwM^cmhjkhduciiMf^dfricotrdnqHiih^ 
itein Solemcffcrto^ Sirceum dmuios purpurdrcpldccdtflorcs^ braflli- 
cm Ugnum , cuiits rofca fanic offcBorcs Idnioi imbuunt yminutatimtf 
tile^Utvetfl^mcntMcoitciditd^Mtifmin MifUdJecoifitito^d/mccddtcr^ 
uatftUrtdtvecoSm^M /uiflddt.: co ftmpitreo dccoffo^immjdmclcfcrttif^ 
rit.matutinmQitveJpcriiniOt p$ciMdtorbibidtmofokmirifl^cdt^Mcai$^ 
didat hortoram gcmmutdt fretioJoyraroMc mtrdcule findr^dinm in 
Vhiditdedm gimmafl^e diUdUt\ cimrhdmnifcuj^ind^qum fetrm 
KjnircdSK^Mdtthiolm InfcHoriamttffeUdtrVul^ Sfinumccrvinant 
dicimat^mdMtri^mas baccasmtiMceididtillmyindtptdincoquitOyprd^ 
firipthiuefoimfotmdirr^^ SmMutcmfloreurn dngentumptdUr 
rem fiorem ehymica dmtaationc fldvefiicre idutUbilitcr avara cupido> 
tft\ baccddc^cmnondumfdtisntdturdM itidmdpcrtdtcxcoqmtofld^ 
"^tcrramfliccofaturato. StdeniaLdiumttluciscandorcm vuUufra^ 
ftreutis ftorteUimterfdfleMuUs trijtdmigrfedincnoacflercvobtftascftv 
wismcm fdHdm & chdkdrtttmm m dtrsmentum inferuefacito i eofi' 
tidiicm tntirtgds .florit cacumcn snfcribcs^ Hocidem irrfgatioQis. 
tcmei)nith|Mra^cripreraciDprtm€d^ quacuor librorum de: 
MaplaNaturaL>i^r/jLlib.2xap. 6. Acio recunda editione vigm-^ 
ttliteorum* Itb.j^c^i5j^ ubi eademrepccitquaeioprimafdi- 
tioaefcnpferac>hocr«mediamomittic;^ \ . 

iimt Sdrtdnm ySc anceipfiim iRrrAiv Tamprp tio<!^ura!iIic^ 
tamitulipariim»&foiiaromremediafras(cribut\c. Liliacaodidai 
rofeo rubore tiogi aiuoc> txx^dtboIU »4^ PJinio lib.i4. cap. 
|uhom6o(6 Aordceotes JilioramlbipifiMiacaulicull Jecem vel 
duo(bcimiiy£i(cicii}um coiltgaticut:^,^ m^(!tmo4u& . 
<l^onec fotnjdi teiiiperact<{Qe:^^j^(Of is cffic:^ cauUbusouaos» 
Qodulos five baibulos.reai1tcaat ^ FcbruarJodeinfdemenfeaut: 
Mardo^ccim paogeoditempu& adiericUcapifeacalicd 
«toigri vicunuKereiMiir y.doocc purpureiuniColiDO^ 

:l!ISIIIt}i 



^4 ^f^f^ ^ Lib. V, 

Tlnt>ac te rcrobtciilfs , afiacim dFCttmAisS fjtcc > fcraotut, : oam 

ciim dchi(cent, faturata florcbunft purpurS. 

I^m P^rid & ftrrmmtxTlmrimino i/4^r^«/,rabdcere iiiiMUt 
alio quoyis colore tingi» (I bulbi dilisenier abfque (auciaciooc 
periantur>&inora eorum (quamasaffatim cinnabariStaliusT^ pr« 
arbitriocolorinfundatur» & pingui acftercoratoiblooperiaD- 
tur. 

Tuliparum quoque flores arbitrarla pidura variabitt ex Fcn 
rartj prxfcripto , iibiduotriduoquebulbilubeantur maceco, 
' donec tenerefcant / deinde eximantur » m acecum nonniliil cx- 
piret: exindecoloresminimcacresedacesv^innocentibtts bul- 
Dorum inci Aifis ex vino ftillatitio inducancur ; coloratt demum 
l)ulbi elapfo menfe iniiumencuc 

Ro(xquoqueflos,iuxtaPomm & Ferrarlum, pcr^rlnos 
facil^ induec colores , fiincaulcmiuxcaradicemdiffiflaraj id- 
^demque in diffiifos raraulos^auc arruginem^auc indicum,auccro- 
cum,auc casruleum lapidem, aucalium quemlibec hicum ceouif- 
Hme comminucum largiter ingeramusi5c plaga deindc benecir* 
^cumligac&flmumadaggeramus. Caverccamenjubenc, niqux 
plantas aduruncacqt enccancpignMnuadliibcafflUS» cujUSflMdi 
cft auripigmencum. 

Qu6d fi verficolorcs reddcre velimus flores, jubcnccom- 
pluragcneriseiu(dem, acnon eiufdemcolorisfloreaicminaino- 
villam caprinamv^ pilulam defixa i vtlin^cilem arandioem 
inclufa , vel in laciniis coiligau (erccc Corrupctscnim vagiais 
& inyolucrisi aiunc h feminious varia pcrmaftioneadalceracisdir- 
icdlorcm florum foboicm cxifterc. Quid candemijdimidcioii- 
tionc (entiant ad flores colorandos^paoB poft dicemus. 
<$Um /#• C^ididijfencianCyvidimus^quacLxf/i&tfxr^^ 

ti4, jam vidcamus. Eft autem KircJicrtts in rcbus bbcaoi cis cxper- 
ci(Bmus>nec ullacft herba^plantt^flosi quorum non (dat nomiua 

t.fx m ^^2i^)^^^^germanica^&virtuces » ucfciuntoihocsbocaoici 
:omani»8cegofa?pi(fimccumaliisdcprchcndi Is efgolib.I«De 
I«ucc&; Umb«par.9.€ap.^.aii^ muktai haUucinaiicos P«olcgos/ 

qui 



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MagU Chromatica. Z2f 

1}iil«m9icis fiiccis colorepn floribus indudpo^Mitaiit » citm 
i; ut plurimiini c<iaccs fint,& rodcndi quadam faculratc pr«ait j, 
acproindc florcs potiiis dcffcruaot, quim jnvcnt. Undccrrare 
aitPorom, qui cinaabaris fuccoradiccs plantarum irrjgacas in, 
Horesintcnsirubicundosluxuriarc opioatur } crrare, quotquoc 
ochra« ndaraca , aut ipigmcntb ihfuccacos flores in fiil viim fcii 
flaTcfccBtcmcolorcmacgencrarccrcdunt ; crrare, quibulbos 
priib aceto per aliquot dies mifere tortos, deinde fucco quodahi 
mincrali defideratum colorcm fe educerc pofl^e Cpenat, FMrU 
litfMt (fubdic ) h$mMtm inexfertvrum perfmJhMes. K^ppetit Hs. 
ttr*bm0gene» . tmitis heteregened fenmmiUrk nMnr* (qualis eft 
pHcdidorum fuccorum) impatiens, J^kun^mtur ntvd prnm 
mn^ttnducereitfiiterAt, hmogeneuidfuccUMefi, herhMeii,& 
nmambittvUherbMeisfyprttihgend$N*tttrd<^MsdMmJtmtUtndine 
fmMhickpr»}»eneceff«efiy&c.lmedic*»mfUm 
itamd»£fii^uBtimJiiccnm,etidmfUntiscenndtitm»fr0^ti&c90^ 
JUtnrM&ter firet tingereftffe , tum^uid emnif ttn^ur* *h iffk htmid§ 
Tti^tUnfit freceditt tumifuUcelfrexternfttnuOirMtipne ceUrem 
utnrMUm ittternumin J^ermsticM ma,fik UtentemfineefientUUfiu mu^ 
tttitaffuperMrepetefiyfedJe ttndem nuturs priprU rudicaU trthuts- 
ri$mfilJkrecegetur»&cenfiquenter0mnemextrinficksMdvenien^^ 
tdtrmw^tntnfuinAturap$ trtnfmuttreftttge» vitchremttictj^tH 
fmuvmttm tpt^dhihitur ruhicundum , renes & vefict ih iHUihnt 
miaAritiitaitrtithiiihgerefoUnt. Secus enim ih ruhrictfisUcistmhes 
dmfMiiikaresrubicuntits erumperent,Jicut in crettceis in tlhes & ctn- 
£d$semmferedeberentyqu0d ttmen exferientUcentttriumdemen'^ 
^^(«lclumi^eqntem herbam excipias; quanft piofcoridcsafle- 
tinSgfyi coit» terra colore mutare,8c alibi viridia,alibl albicantia;. 
jflMralea l^abere. Hemeigttur confiJUt ?9rt*,xJ(Uxtj7^ickeri 
\ttt»tiemm0disquibuJdtmtin£iurif^fUrum^U0sTerrtriiusn»'' 
'puCnlturtJlorumrtcittttiTtbreLynceePhiUfofhtittdoiitiSi 
trlLjnceuminremthifsfithocvidiJfedeJtdertrem: ' 
pr?cmiflis,ailleritlftrf Aww , alium Natufam modDmoo^ 




226 • , t»artis I. Libcr V, 

fivc infititil Experientia enim docet, perficam moro iqfitaitt 
i>ro4pcere frudus colore fanguiQco non (ecus acmora ipfa ni- 
Dentes > & amygdalum infitam pyro affumere colorem norum 
pyri. Taceo alia mille exempla>qupniam res nota eftiSc minim^ 
€$Ur9sk^ dubit in arbonbus ficplantis. Idem autem fieri poflein floribus, 
^^k^^f^^^^^ docet , & aflerit Toru^rerrmm , qui & artificfom 
dmmtuf. defcribithisverbis. K^tquevtinaureitmJlavdpukhrmJinkhdre- 
ditatem gcni^d injitivdm rofim gelJiminumMofttt , frimkm m* 
mittendas fUntas , cumgenitati terrs transtatas , ad genifiam afjerd- 
Wfitty^uhdiBamaternomeUus, quamnovercali ^ fuftinehunturvhere^ 
dtiminolefcant. GeniJlamdeindeterebraifiufotiusferacutotHbehi 
^ifiobemminimefaciat.hecferurat^ obUq^uemediahiferforemnss vi 
ntOutali contentione in fuhlime feratur cum ftirfe ramifs immiffks , fufii 
\ . tibradicehumoraffufus. K^dhacrpjivelgetftminivelutifraducemra» 
mffdumffuam tatejnfiri circumdari rrunco dehet funmo kviter coy* 
y^iCC^drcumrafi Qotiemy^ ; vt u exfedite ac froxim} adharefiat : trans* 
^ftjfis^iinis terffis^gemmisforaminiaptemiis:fuba£fo etiam [ttfo vnt- 
na^circumiinamus > 3^ vincuio circumligemiss:fofiremo infitum furcn- 
fym i4t$m ficcrefientis idemgenifta niju fiftotOtur , hoJ^ftaUtentssfrth 
pceamatrerecid^misSi, vtim^tefcentecorttieinfttum coatefisa^d^coist 
cfoifrvcifkfer^ciemvfrofiitticis adiffimvfquereceftumfitrcutnktJ^' 
tfsnctmt^ , trtiss vifuccufaUo rtonr eydcafusvnifoiijfimkm ihJHtt Jer- 
viat^ Ita^ cutfi ^tfia^iquecumattisquotfuediverjtcoltruc^ 
tibtss flAntis concorforantur y exferna^ matris vteto iterMm concifHiti' 
Utr fridem nata roja (^gelfiminum\ vtbominem^ fuamvss aduthtm, ai 
tuivam virtutss ns^um^faciem (i^at^sm d^euhdem rttsafirfa^ikfiir- 
fiftusdofemnwt. 4^vero fi candidum autfurfureismcariofhyUumcstti 
ejotoredwarevtUs^^ avu^tijpmis iUitm ftantis fic imf^frabit. 
fim^AMtcyfinumyOutfotinsvetuftumerraticum intuiium, tpsem ^tU 
choriumaffellanr^ radice tentssrqua fotRcaremfiperercrijphtdinetnp 
recidas : tummediam rasUcem eonfideratetnodiceg^ diffkdas^rik pBtsjM^ 
fifi ^f^jtdefctitdat :jic floriferansj(thoicfh a fdrtnte vu^mJfth imHtit* 
t^^yirtrpHmxoa^entet * vimineo demtmt nexuiffitm vuthereHtfiti* 
vimf^dus ebfiringas : ac fiutaam 0oJ^it4m vf<onfineSy d^tdfificer^cir' 

ater^ 



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, Ma^ia Chronuticit 227 

precarlumc^Urdri pcji PoBicetwr^inJltioeruditA. 2ufLtt4fiiame^§(pe^ 
Bicidtm hocfifim auribm^nunquAm ocuUs vfurtavu iBud eadcm frs^ 
terea iofido , fi fojje confdit , vt in CMdidosnores col^nrderiveturau^ 
fkrfUremJirubrufdJlinAc^^quimJifn^^ 

mh$f/d frdjcriftd rutionejungantur. /am verv fiex albo rubro^ bico^ 
loremexfetisrofimy eam ingeniofuf infits^t queminoculationem Jhfe 
emflajhrationem nominantjicfeliciterdabst. Ineonjifruticetdequo 
iujerere^at^oculumgemmamwadinfitionemjumere voles,noveffam, 
interram^ (fmaxime nitidamqudresvirgam : imhacdeindeoculum 
conpder^bis^uibeneaffareatiqui^jolem^e^etorientemjbon 
risindolem habeat ) eum oculum modtco in cortice ita circumfignabts^ vt 
ismedsmfit: acuto^Jcalfeffoeundem circumcides, (^caute materiam 
deldnrabis^}ocutumUdaSiqHemamateriareJe£fumintercidesmedium. 
timfofimodum fruticis , quem injerere viles , generofam acniiidam 
virgameUgesy S^^tuJdemamfUtudiniscarticegemmi^dimidiatama* 
tfriam denudabis :in eam vero fartem,quam nudafiijlimidiatamgem^ 
mm^xalthro fumftam fruttce aftabis ita , vt emflaftrum deUbratM 
firticonviJtTat : duorum^ oculorumt diverjarum^gemmarum inter Je 
apafegmenpavnmocubu'^ atqueindsyijagemmavideantur. Fbific 
fcceriSf circagemmamUbriflagamrevincies, dabis^oferamniladm: 
dcinde comtmiffuras c^vincula bene Jisbaffo tenatij^ Usto > quod imbre 
nm Mlabatter, coffines :Jpatium tamengemma reUnques,vnde Ubera e^ 
germinet. Ne materia , qsiam injeveris ,fuccus alio diffifeturfed vnum 
ihbitmiirindividuminfttumvtenutriatsfuferioresramosifiqmfint^ 
snifktahts: tum fubifidefoboUsdetrahes,qua a Utertbmradicibm^Jitb^ 
rcfuni. Pofivnum & vigejimum ^icm folvi fotejl emfUfirum , qttii 
tmfotenijuaffiicatagerminacaaluijje^ J^uanquam vniusaUeriusvh 
menfiseutior/uerit mora. Sic rojam Uges in vnaJHrfea biformifaren* 
temtolorem ^five bifrontem , lanifciUcetfororem. Idem bicdofocuU- 
titlt^Heffdmenfum a cariofhyfforum fUntis^Uo tdmen cuUu exarabis: 
Cm(nimifJs,vtqudocuUscai'Mt,inocuUrinequeanPya^tediJ^ 
iUtaadfiartutn hocmiraculum conffirabunt. IgitmrquacandiJU^ukrn^ 
bntmofhj$igencrofi foboles ramesveindmsmediafartesdividum^ 



228 Paitis l. Lib- V. 

//^ > iimfofiiU^mvkemMviduiuonmhMSi 4fik cedgmentMturin 

corjmsvnumy^iugdexdijJuniUbustAnaemfMrttbHS^^ 

vkus jurefimhuscdfillsibitur. Ha^enus Ferrarius , cuius ipfiifinia 

TCrba^ob llyli eiegaociam » & prxcepcorum accuracam pracfcri- 

pciuoem^alterre oon piguic 

CHROMATISMUS IIL 

THrpuream rofam ex tempore candidam 
reddere. 



' D Ofam purpuream,maximc chm recens eft^ficprimum dehif- 
'^^ceos infoliaca^picevolvi, rulphurisnidore/uffumiga» &fta* 



r€ddir$ . , . ^ 

€0mdUnm. cim deaibefcec : fivequidfulfhufeusMher^ ioquic Ferrarius^/^r ^;c« 
^ tenuAnte atque rArefdciente fenetrahtlis, tenuis refumeatus ferv$dit 
(^inficittftve quia iuxta deiicatus i atqueodoratusreptfioiolidijjim 
fuffisus horrorem infilito faHore tefiasur : five tandem nh formofo eolfffi 
nimiumcredas^uifumolevijpmodecoloratur. Remiacpeexperieo- 
cia probavi^ vulgaca dudum fbic,eciam apud veccres» 

CHROMATISMUS IV, 

QM^MeraliavariiscohnhHttmgere. 

PLurima hic afferri poOenc j fed omiflis omnibus folum indict- 
Tk^ti' bo breviter ttbnnullasexperientias4>.>f/A4if4/?^ irir^^ 

Aj^equibusiprelib.KDeLuce&Umbparjxap.;. Vbiinc^r 
^i^hascbabet, 

Si argcntum vivufn vapore phimbi congehcumcocbleari 
aeneo impod tum carbonibus accenfis calefeceris, ecce mox cibi 
in liquefdda matefia taota colorum vanecas parebic , qc niiila 
maior in mundoconcipipoflic» ica lucidorum > ucoulli eorum 
quof apparences vocanc, ijs comparari poflinc» 

\. ^s album fi facere velis, id non uncikm calco calcioaco^ftao* 
Qoq^ adequeris , aucargenco per colliquationem codiooein, 
wixm eciam proieAtone pulveris qui fic ex alba calce Mercurij 

fubii- 



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lubtifnatr> nocriu otco taruri. Atil?iafiattc dodBatteiemiii^ 
ftitues^fi pulvereni ex calce tartan,alufnine> & arfenicoalbo cal- 
cis tixi vio dilucis reficcacisqu9> in a^sliauefadum coniicies* AIio| 
fnodos videapud Kircberum. Plumburonigramin caiidtdtiin 
hac arrecon vertes« E3Carrenicoalbo»calcetartari»(afecoiMMit 
oi, '&ammontac0fiatpufTis> quemacetbD»fulumfepteadic« 
rumfpaciomacerabis» maceracumqueaduccum co<|aes»:c«tus 
pollen lupraitquef^um pIumbamproleAt^dabitniagnaiii 19 
tingendisargenceisvafisrubfidium. • - . ^ 

Boraxaurificum candidus ; casrtltelis^eddiftir^ 
Qaqaefuba<9u5glaftocingacur : purpttl«w TCfd fit, fi iiiteafiv» 
tin^ fuerit. Siroili afce fiiccarum crtfhdKpuinttngescolorU 
busfflinim^ nojciis. Salesquoqueorobisgenerispromiku^ VU 
triari; guoque in cingendis vicris eo oci foleo t Suoci vcr^jtiogefi^ 
usludt u varum nigratum , amarinthifanguinei »i>alauilitptuiii^ 
polygooi coccigeri, femink heliocrQf^fj t-ricocci ,qtiod prifltOjtl^ 
/fjdu (oo Tirorem reddit,moxca?ruIeum,& parpureuffi » chartis 
tingeodis aptifljmum. Foliaauoquecyperiifeualcaonar^auo-^ 
rum fticco arabes equorum juoas » caudas^ penoasqueflrutoio*- ^ 
Dumongerefolen^in rubii]|ii,^flavuro. CoccimlUquoque A<^ 
mericaoa» coccos Bapfaicus » cberipes notlras purpuraro ringft^ 
Aloifolia,rubea,iratis leu gtaftum» vari^ttqgunt. Sedde^lsalibi 
plora. Vide Kmherum loc^cit & io fuoMundo fiibterraneo quem 
lammolitur. • 

CHROMATISMUS V/ ! v. 

^AmmaUatingmruariucoloribui^ , 

\rrflnagoaeftcolorum varietas io aoiroalibiit^lta multiplicet ^Tflmrff /r 
^ <|uoqoe eorumcaoilradfigoafipoiluot. Pkraqneeoioiaoi-^^^^v^ 
roalia exnaturali con>ptexiooe & tenroefanieofio fibicfirfii^i^^''^ 
col€>remveod!caot> ideoqueteroperiereeooraatacoaMMi^ait» 
Noooiina taroeo exIocorum& cliautomcooftttuttoQA a^ecii» 
decKfiantia»aliiifflcoIoitmacquiroQt»utinaffu^ 

FF X patet 



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tjo Fvtts I. Ljbp? 

albicantibiisalbefcuRL - Mulca etiam ex cbromacica in femine 
latetite facukate fuK colorationis originem babent. Maxima 
lameo ccdcnrum Yarietas in aoimalibus ducQps originem (uaiti 
failvwabimagmadoBe vel aninMh^ 

wii fDcubaotium i qualem.eoinp tuoc colorem imaginatafiie- 
ridr, talcmfic iofietumderivaot. Hocfciens Jacob Patriarcba, 
tai4<igacas maculo(aH)Ue virgas pecoribus coeuntibus obiecit, 
eflTecitque ut maculofa nafciereotur pecora > ut babetur Genefxy^ 
\\iblffb3a:v^ eq|eii,aliaque aoimalia » eiu^olo^ 

fis^oihiceotfoetiis» cuuis fuerint velamjnai intra qu^ claula co- 
Iveriat. ]taquoqueavesexqluilentpuIloseiuscoIoris> cuiusfu- 
crintcortiQac»totraquasclau(aeovisiocubuerint« Necaliacaura 
< eft)^t t ves domefticas t9in jdi veriorum fiot colorum» fyl veftres 
yer6 uoiufhkodi &c^.iemper4Qlfi qupd illa; tdm di verforum cblo- 
rum^ciesiiwrtuatydumovisiocumbuot, h^e^ver^ minim^. Ex 
iiis igitur pattt # q«a arte anioulia variis coloribus tinjgi pofEDC. 
De vi iroagtnatioois iofignisa^ ootis foecui ucero gcuati impri- 
meodi^iccxnusalibi» . 

■ CHROMATISMU^ VI. 

Qjdmdconte in VMtks colores fi tranf 

4 ' ^ mutanfe. \ 

ciMiiMZjiy. /^Pportuoumvidetur»hoclocoQotioulla dicere de notiffiroa | 

^i^!^ ^Qoomious,quiwadmirabiliohanrladeohti^pa^ 

Imu tam variosie cplores mutat £(l Chamarleon animal quadrupes 

oviparum»eius fer^ forma:, quam Crocodilus reprsefentat. De- - 

fa:ibitid>li^#ViMP^lib4. de C^adr up^ 

[ iYaalifimalisio^exkme,&accitratacoiiii<fe Acpria36 
<(uidem 'capot cpofidef emus , k mcidio capite retror/um ojTea 
pars triqttdtra emioet , reliqua pars aotrorfum coUigi tur cava I & 
quafi cttoloulattrcmiocimousufiriffique ofieisni^ugioibusafpe- 

^ • , . ri5,&i 



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WfagiaClirdiniticL . ^iji 

fhjkievitetkmtls. Ocx^UmckiQftectSu^pngfu^es^^ 
pori concolores condtmtini, quoriMi p«|iilki«oti tmnncnir >^ 
ani nrial totk» oculi nf M:u drcum(jmit,owlrnip€f iriaatc^ . i Li» 
guam habet longan) , 8c terreilri lumbrico iimilem , tttdMttseiCr 
tremitateiponglofusquidam &glatihorus m>dusexiftit»lctan- 
qti^acetabul&infumftillfU5:par€ccummoco,qaoprcd9nnFcir 
toxolfit Dentium $c gidgiv^rum 4oco,T)S qabddaai coflyriMi^ 
um6tferratumhabet>Dec nob(iiD<riu$4abh]fiibfeyi«5;\ .Guh 
k& arteria , ut Arijhteks ad vertit lio. i. dehifl:on animal. capii. iA 
pWdem fi tu, ut in la^^tftitl!, t]n#Md%N^morum gemitCHiMiiih 
lcontcm reduxit. Pulmo in eomparationc ad molem corporis. 
illi incft maximus Cor habet rtiagnitudine cordis muris dome- 
(iid \ hepatislobosduos, quorumiiniilerellmaior t folliculus 
feUis granum hordaffiinMiMMltt 

Tct, Dcniqacinteftinaomniainterancislacertajfimiliaellepro- 
diditArrftotelcs. Crura poftca illi AintreAatj&longioraquam 
Jli6eita;,quamt{»h^#^^ 

^ pofterioribus valde di/cre^aA^s f^Mrahbic animaliconcel^ 
fvttnam priorcs pedes habent ternosdigitos intra, binosextra; 
pofterioresVero ternosextra,& binosintrapofiideDt LoQgi£Uh 

gitorum eft, altitud»il^i*imi quinque , mcdiurfajMtJlltcC; 
imum ventrem & Tu^iMftAifrdorAim ftexus coftarum conciBct, 
<iBU(ter fexdccim, EtdemifAi YnAcul(s<iifttDdusutpardu4iC€rQ<^ 
lipiii^r. Chama?ledti<Mfrali^tiitiili^^ 

T i/flfarina,higr^ca terminatione. 

^ Multis in loeis reperitur Chamae^eon. Prim6 in Africa,^^^'^*^'*»^^ 
t aft^,dtmtftaccfcVi^5o,perhttel-as Roma^ k^regiZhL. 
Rfctf chcro,miflbm fibrdono €ha At* ibPrincipe^i^m^ 
Tunctam> D Joann c ah Auftria,Tunetani Reguli defun£li filio, 
qurduminSieiliaijegerem,Titncco*fbgiens^cum aliquot Chti» 
ftl^lil^tih Sfciham\^ it^ibi^^ 

ftris inftru(flus,ac taif(|em*fun>m4celel>rjtate i^ temphmoftro^ 
— - _ f* .ii- 0^«^ L . ^ am fe 



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23» Partk I. Ub. V. 

dotrferens«cAHfiii^m cum RKirchtf o «micitiam contiaxi^ui- 
defrMioeiKes UecBcis^poftqiMm Tuoetiiiiirediic ad eum mittit 
Avi^icotaBroboG o»jIi»ms ^ ^ua« ipficmcwodifti Klrcheri archi- 

yid repiBrii ,^ 

f rltoiiiw quoqtiealcfcin CalroiEgvpti inoiimerosobfcr. 
vti(reCUm«leoQtcSiiautonilaeferofii]Cbprcorumief>^i«^4^ 
bdi nonio^deanCipraeoipuicircarip^s Niii»uti& circa Alexan. 
d^ Mgfpa. In A6aiqQ0<}ue,& tota India Orientali freqiMO- 
its reperiuncor»prcial(tttiin Madagarcar.& in Cocincina,ucif»> 
mmreeionum Hiftoricireferuot. Quem defcribic Kirth^jo- 
cocitaco^xPalarftioafecum tolcat Romara Reiigiofusqoi^ 
ek D.Fsancirci Oidi«eiicoius natuf alesiifieaiones^umfingulai^ 
ftudio diu molttiraqtteobfert aflecidem Kirchenis,ceperic noo- 
otoUiv^ilfaeftequc ab Audoribus ipfi tribuuncur. 
chmaU' Dc Tidu enimChamsIcontis narrant Ptittfut , & SfiUnm, 
nuUamatecia ^oulenta fic potulenta>fedf<rfo^trenucriii 
HacdccaofecomparaotiUuni ftcllionibus,qui morc cicadarura 
roreTicamdcgercdicuilCiur. Multi dodl Viri non modo fcn- 
ceoticPIiniaox adftipuUtotur, vcrura ctiam jllamrpboraoc, di- 
ccntesCham«leootemosiii4n$ren»perbaberc,qii#llcontinu6 
hauriata«ce«', &dau(o ore vcntrcm intumelccre, quodacre 
h«uftofitpIcons».q«ipoftmodum in alimcntum paulatim cop- 
vcrcacor;' lo ciiosconfi^mationcmTcvcthusapud Aidrovan- 
dumretitt^yfeCiiftaotiOopoh nonnullos Chanaa:lcontc$i|i 
cavea excrafencftfam appcnfa , folo vcnto & acrc viditantcs 
per fpacium multorum dicrum obferyaffe. Adco autcm ino- 
lcvic hccapudJlomWW pcri^afi? , utjn prqvcrbium abicnt, 
Chamaleiioti*in«»vivercjgu.it<in«i<;iboui 
:r<«jioionCmfcf«rfcwfi<»nemfallam omninocffc, mujtjoculau 
* affirmancceftet <jl*'JSifcheru$l9C.cit aflericfcvidifl^Cham*- 
leodtemcx Palcftina aUamro p«^»ri f«ic exporreaa liogua 
looicam apprendije|e,«^ nm finiiiMlipJl!*>»«MW«ifn<>^P w 
tcerod«nififi<Q': •> ' i ■ • ' -ilf '11 V j 



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Googk 



Migtt(iliippMiQ>* 
ioiiltiMMSyriiaiiioranttii-, «idifleioaii^it^iliqvrGhilVlcleoK. 

rmprpterffiiqudd fki&A li«iu$aq||ii«ti$ aoafonliwpnttdi^ta am- 
maiia io Tcotriculo 6c inteftiois jnvenit. £t certictir Nattw^^liuic 
aBitii<iWiUqg»am^yoJHrifiqlMi»h»i«»gfti ^ indi- 

' . PiwtcreadecQlQcibuf CtMiaarleootaioarraiiMfaiM AuAa» ^^ ^, 

g» V^r^m aliiDec docuit CKperieDCia<«rtf^ dCAliMptf* ^ 

IHpl^^riC^rus ftropbiolo candidiflimo ifnpoiitiitn itan:an- 

Id^eoceai,tl)t ^ ^<<icni ab ipfo (If pghiol^:4ignofci potairit!: 
. & firnobiH^itius fidedignus Aldf qifaiH(oriaifravit»{edoQO Cxhi 
dQnnitn Chamxieontern in candidi6^iidari€^iodufi% , &ciMi 
domumrever^usexplicaflecfudariumiputanereanimal eileela- 
prum.tquoniamrudariicolorempro$^ Gauiasjntlp 
utio0i^buiu^ ju omne$colorfSi;?^iA^4S<o 
Alii ia dmiditacemanimalis jd^ rcfeti|iH>€ft)Wii» aw iy « 
frigid^spigriquemocus, 6c exrguum faDguiaem tabti^m rirca 

cor haimiqv«.a»^^p^M<rP/M^^>Ae^^^ neceiTarid 
frigida»«coofeqiieiiMrtimi<ia»4^^ n iMMriib 

I hanc cimiditatem , £c quompdo invarioscolores mutetur^non 
imcolo cxpHcatum ab Atidbribus. Ahi catifam didae muta^ 
ti<mttcibo animaUs adfcribunti quia cum acre ta9tu|B^uu|^ 

kfitti&fe^cnacuhc^ sid cjuolTciiotjilfe^ 

c#lores recipiendos idpneum.; Veram caufaio ait Aldrovao- 

idus^c«iiiiumjudicio,aiFerreSolj^^ cutim glabram, & 

peUacfdam Imius anim^«)j^fiaiilc^ 
lamiiDe coroe«^<)ub<cunque cc^om flli ap^ropinqatfflcils^ed- < 
dcrc potcft. In eadem fcntcncia eft P. Kirchcru5,qui ita dffcur- ; 
yi^^Cha^^Mofrigidiffimuqr^tiniiciifiu^ » . ; .»i 



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te,aua io colorem rei,cui infidet, iu (etrati/flKiitet,4ittoullirati*- 
• MdiliMto?^<^ I Qtfnt«1il igi«tire^^ 
iiiQ^m lm<ra#cifri<^iite«>bi^^^ 
cuiuiitdil«uuhum«fecoiilbtpdl«ftri,&colonbos«iw^ 
«pftffimo. ' 

• OMAlgiltlrimpocMirvltldtialtenv^coIo^ 
«oloris prsleBriam operante dilatat fefe ,& dilaundo^ kiftiH^ 
^,.^. ^ Mddftj^tem«dlori<Ml»imbibel^isidtbtttapeHe,)i]^ 
• « fMttCOtis^pcltiiAttimlpedescotorisrectpwotury&colortt^ 
' p«fer.ci:Ufiq|Ui»hQmdr]»eUisfitaniformts,&eofytkraos,fi<u^ 
'tami»rpiiyfubjiea9m>fiWcok>tMin<ederiTift(i(ft,1»6<^ 

)L^mio»Mi,M6pi»i6^krkh Kitchtras', tfnhd n^amBi^if 
•«nieki$frn4}to^cOtore<Hbtfiibje^o mdveturt quo^manjfiiihHn 
4goum •ft,<f«rt«MiBf»qy bdttfttii>p^ 
«otu <eiot»biea^ ^ot«m tranfiltotet.: i^iketkKit^M 
•lc«ltommtopiM»)«^(P^)»;i eft , deke^ficQflMf^ci^iiiM^ro^ 
4tof|f#p»UiM,IMj>M4btum^^adhti^Ii9i«dt^^ 
^dwiitfOifkfirtitolditeifi^dcuUsMhtttetitSttmAat^^ 
tl6ia)ittfrd<)tctifi«rj#^4rAM» Jib.t.Op«ic.pr6por.4 iv Vidb ttiim Ce^ 
MNM» itbt a.:ihB-QuadrHped. Ovirarjs „ 8Lf0M^imDill^tH.iit 

"t^i Jfdmmm tmfa£ in Qhfcurd ciSicsda dl^kn- 
i^umfiteHsv¥mii coiohhm' * 

' ■ ■■ kMuti^erk ' ■•;••' 'f-'' " 

c«/Mfof .ITi£6nmiffitn6modb««ttios4M«pi«<crip»0K)tidi^^ 

i^dumimoPiAthanafiusKircbenisidefficit 
ihmjS^ Njgriiilfly uBriMopam ajyaBrliMtotb«Hifliw,^aaamca' 

!>4. w- . ' tOlDr 



Digiji: 



zedbyGoOgle 



Ilagla ClirpmatiqL 



23f 



niM^fal fepiamfn atram fuccumlVDolitarumolao iqi-^ 
inir<;MJ»& ellychQium ^fili$oigri«,^anficias»4tq^e^in Idc;^ o^^^ 
rcora:acceii4as^ atra^enim api^relpuQC adftitptiiim^^^»^'^* 
maaus. Id («oe fecifle AoaxiUum PhdQfQpbum teft^^ir Porta 
lib4o« Magia^Natunctpu^.ubi additex Simeoae Se^. 

Si quisthryallida»id eftjuceroa: ftupafn iuattamentp»^ 
jrrisa:rugineiQtioxerit>^accen$a luceroi cubiculum ohi^ts^ 
ouioeq^Ha reliquum lunien amoverit j jipcDiiK^ cirgam* 
ftfo^ Tideri f^im ^erpQs» p^r^ifii oigrpSs propi;er4i|iftaruj{ijt4* 
ruro inl{>erfiooefki« . 

3iquisver^ Yiridi lampadi Titrea:& pellucidatoleuma^ 
crugiiM'miftuminAsderit>e1lIychQium(|ueexbot^^ aui.gpilipi^ 
eiusdem coloris conf«cerit, atque i n obfptt^9 cooda^^i acoeode» ^ ' ^ 
ijt ; oois^l^ adft^ocium. vut^ 

cMBolaaiiaappa^fbuatviridia, , ; , - r 

Pallidae ac macilentas ut videan^ur facii^>(ic efficies. Vitrea 
ampliori craorri intunde vinum va|de vetm^veigraccumi 6( iotus 
{akonjtce qi^ntuntpugnoquis caper^ppc^i^vcraterem fl^grao- 
tibus |iT»paoe^rbaoibus llne dammi^ nuppatur>^ eb|iU 
lH«fi^'p^r>t«;)dmove candclf^P|Sc ^a^lucccndetur. Hisfai. 
ftis, extiague reliqua omnia lumina i ic ules adftaodumtaciej^ 
apparabuo^ nt (ibi mutuoborrorem i^cutiaot 



tur 9 6c metalla : tam eoim opertum wmedirp viutur colore, ut 
defnirancontiogatylabif^ fquaUoreperfiiiarpunicea ioliy.i^^WQ 
ScoigrumcommeaDtia. , Idema&meliorifuccefrueYeokK^aie 
r^rfsj G acceofum iulphur in medio adflaotium coUocetor. Ad« 
dit» fic folitum fuiffeludereAoaxilaumPbiloropfaufo: fulphur 
eoimcalici oovo immlfium»carboQibus lubditisa eircumfere- 
bat^fic coovivis exardefceotis repercuHu pallbrem diriimafifuo* 
debac Id iepe atctditPofita& cafu f dumNeapohuoBoioiigro' 
Leucogais coUibm opdu deambularet : nam ^ooteardeosM* 
pbortalesdabat Yultuf* 




GGi 



lib.io« 



L 



V 




▼el ar^^ridi irttaHus¥^ eoto^yicro coDf^am, Tclaqu^ 
siKqiio^iift^K{rfetam.iSi€nfm:lpe^urtsH^ 
^hialam eom lumioibosi pofteriori partcexpofiie^i^iltif cMuro 
'cubfcuhim^omnemqtie apparatum , & vultusiiomififeiineoikni 
eoloreimbbeot,quophialaipfa»eid5qtieaqua,eftimbuta. Siki- 
ihen inmedKo pnials hj(penderetur,iifteIiorem ficereMie#Mn. 
v#dfecigitUriD%tiiicfinen3l€eri Vas vit^^ dtiptieatttm^Ce^MHifii 
coUocari intra alterum , & aqua continen inter utritt(<!|Helupe^ 
ficf^»fumei) Ver6.cbtlocari in medto,uti infigura apjiacetimqva 
Tiferuiniextenus eft a b cy mterius d £ f, aqua hiter illa ubi o 

V.IC0111C ; . :TateohJcm6dAtftyiildH^f^Jlttjm 

iam ccdum ^ nubes » cplorc aUqu6^ AaVitiF^iaoftiii^ i fiilfm$rmn 
per vitra ac fpiciKacolorata afpiciantur. 

1|t honimes^AorttiiVideantu^ 
ptfooem partiT tertiife tbqutto /Sc yinurii illfid accendei fublad 
omni afi^ htce & adftantibiismanen tibus lAiitiobiHbw i fpeci- 
eta mortuorun^ ^i^b^^^ Ci0^ffmkhjj;.dtHrtim.r^^ 
eap.S^. ^ • 

{^uprJi lib. i.cajp.^.retulf mus ex UMil»4 > C aceto 
nthh 6clineus paiinus id acttom bene imbibatypoflmodiim 
v>^fuppo(itS candela inAahnni^iir paoniiS ) fpecie$ idjjb* dif* 
Altf^titurper^medihWl]^^ forAiidibi^ 
fes admodimiil^ies prcfelbtiutp e^h^^ 



)i»{*r«. accenderisi Tidebis flammam idtenfocotorsnrireotftmv St cio<t 

I . . r J Li - " tibi 



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MagtaChromatica. «$7 

ubi AumBoam rubram Si falpiuv adnMkoemlii|iKvi«.CBru 
un HaminaiQ iMbebis. Siraiti modo alioruoi quoclibet colo<- 
taiafcflanwaam oxbibcre ptotwig. . 

CHROM ATISMUS *X. 
Chartam Vimis colorihm rmrn lureico 

tRter caecera colonnn arcifida ,illud twm lpfifmiinran*fe«u» cbMMm 
*tcoetTurcarum fovimiirt , qoo chawadepingi folctidfiiJiiA Tmrcicdm 
qaadafn coloram yanecacc, piaarairancin ondaspdbgfcprttfip v^Hsc^u^ 
b^AODciD nriarmor varicgacum,liibindcinpcnnas.aTHW»div€^ 
/(co/orcs,aii^inaIias figurasdcgcnerancc. fnvciwrai eiilMM 
mirabitc» & arcanis curgcns. Octcrifeic idP. dthimMjfm Kmhitm 
Hb ro.tfc Lacc 8c Umbra.paraxap^.cxquoilhKl^dklf cicartiitx 
qutdam Ulmcnfis^qui aflSrnnavic mibi^fe cxprarfcripctsi KndMK 
roregatis opcrando « omncm omnmo figuram bominum,atii* 
mayum,arborum, civicacum, rcmetium , pofl^in<chftfcamiQ4a» 
cctc- Sc Cfj^ habccJ!:2rrJ^/KrTo cit. 

Omnmiaragacanchifium pcr cridmimaqa x pui i ffi m a in i -^ 
mergimndonccifi album fiquorcm tot vacmvt u m pcrco&tw, 
tncaplblamcturdcm cum charca? foliis ajmplicudinis, profiRKfi« 
ticbTcr6duorum auc crium digicorum ^itmmdic^; dbmum co» 
kiccsllifpcrguntur> 8c diducuncur, ijsquccfaarca immcrgitiir, «t 
rooxcfic^tut:. Ob(eryandumvcr6,nitcnador(it^ vel«iamra* 
rii>r, huidfmodiaqua : fecuscniminicftico!orcsveipreptcrta^C4><pm 
oacttatcmaquac non aptfe fefc explicarcnt, vd propter Barittitcnt^J^J^' 
ftliqulditatcm nimiam datas figurasminijrs fidel icer re c if ic f C Pt $^9M$Mnt^ 
Qualcviorcsfljcrinccobres,hoc aptforesfuturtrnnt Laccaad 
rtsbeQm,rnda,uc vocanc, ad casruieamcotoremvidenturjrptifli^ 
mi , pnrfcrtim (i Indac mifceatur albQsattquis colbr oirhiaffi' 
eltis /aturitatcmdiluendam^ Aurtprgmcnttimadflavum,5ccc« 
sdbm ad album,Iicc tgravcs fuit n a tura fiia^fiiun lcTiotcsdefibn 



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25« Partt» I. Libcr V. 

cpgimur adyber e. Sioguli fcparatim aqu&^ovi aIbtEHiiibd(s}Qtai 
boviniquefelUs,& oIei,quod vocant Petrrjeufn > cxiguaquaDtK 
tatefupra marmorapprim^diluuntur, & infuasquiqueicmcilai 
diflttbuuntur^oeccraili oimisi becuimisliquidif (ed medioquo. 
dam modo temperati. Obfervandum, cumpenicillo in paracan 
priilks aquam afpergunturcolores, utxquali&uniformiienort 
fefeeffiindantfupra aquas fuperficiem , in fatis amplum orbem 
diecidentes guttac fingulas; quod oon contingeret^ aliquidftttl 
de iK>vo iofuoditur . 5c permifcetun donec pptatw finis 
tur. Colores ita afpergendi funt (inguli (ordinequtdemiw 
certo > (ed eo quem docebit experientia meliusconveoirt)it 
Gomaqua: kiperficies omnino coloribus te<P;a latuerit , zhd^ 
£oQece(Ietur« Cu jus etiam aliud (lenum eft^ciim coloresffli 
htis colIedi>6cnativ6rptendpre in|U£Oes, non autem dilatift 
emortui apparebunt ; n ifi fort^ vittumi^uiurmodi vel ab ^oi| 
lore» qm ex (e mi nus iitilluflrisivela nimio infufo feIle,quoddd 
rar6 accidittoriretur. Si enimplu ribus>qu4m par (it| colorm 
aqua oneretur,praeterquam quodfundum petunt , & aqiiamM 
ficiunt,minus bene obfequuntur ip(os (uicanti caIamQ,*vtlp^ 
diotioainusque terfas ficbene pra^cifas colorum lineas exhibcoti 
ioquptamen totius hufuspidurxfplendordcpuIchritudojMii 
ta e(Ie videtur. 

Infuiis igttur coloribus > 6c aqua? fuperfici^ variis Cf^^OfOI 

fUttM injafpidismodum obduddi (i chartam ita pingerei^^ 
ttiufmodi jafpidemrefcrat/ tuncfoliumcharta: fen(i|oii&m 
dePones,abextrema dusorafadoinitio^douec adaltet^ipM 
poutam perveneris« Tum totus chartas extrema: ambiiftta 
ofuhe lateribusadhae|i(ns digitp leviter currente premauir»jl 
noc utcoloromnis, qut foletin huiu(modiambiture(ideB^j| 
ipfa charua(Iumatur,nequid fuper(it. Deniq, appreheqil^ 
tx ora (enfim eximarur » fk in loco plano ficcandi expoofq^ 
Ycro chartarn ita vis pi^gere,ut non jarpfdcmifed alfas(igtloM 
vortices,plQmas»aliai|ue(imiIiareferat',tunccalamphiociM 
dui^orcdudoqaeab bno capfu}slatmad oppofitumjgunitd^ 



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M^i^Chromatica. /^19 
iV/y^iecabisj^iiiloogum produccs. QqibuspcMAis^pcAioem 
c/cz:Ajii% ordiocloihgodifpofitisconftanrcm jbmmmpcaprulxla* 
&T^adiiiium4cdaccs : £iccoinitraosver(jCQlorumduausrcca« 
bat9Uirpcrpeodicularit€r,& folia, (ivepiumas cxpnmcot» quas 
AciBiqueiogyrosfive fpiras > aliasv^; lioeas irrcgularcs^ eiu(dcm 
caUmi opera,licebit pro arbiuio dctorquercr 

Ca^rum, totuifi hoc opus, cxp/cditum arttficenn requiric. 
ticeteotfncoloresfupcrnateottC^fl^^ feofim,&aqua 
: idkittnt> fi loQgiori naorS^ Quiimdiuver6aqua 
~ eademvfiiicfiepoffit, vixccrt6potcftafieri , c&mid pendeatab 
eiqpcrieotia: ciim enim coloribus infeda • & turbidior obferva^ 
bf^^c erit efiundisnda, & pif rgata djligcpter capAiI^i ^liz de 
: Iforciidhibenda. 

. : - , Qvicuoquc raodum prxdidum beni obferraverit» is baud 
dolu^portam ^bi ad in&iitas alias inventiones apertam iove* 
oieti^u^tamcacurio/oLcdoriiodagandas relinquo, ait Kir-^ ' 
€bctQi. Vidi^etiam H^rjlorJirHmtfi.x. Deliciarum Mathemat^ 

CHROM ATiSM aS X. 

hiiMgims omiueolom 

fMrvoqmdamrn^d^exhibm^ - i • 

ipRodiit Eocfapculo mirabilic^^ 

rDmiDFranciainvcntumartificiumjnquicAVrf^^^ 
JLucc& llmb.par.z.cap.^* SpcdanturcnimimapiBesomnico^'''^*^^ 
jofumgeocrciiepiAg, aiobnfcrapcr,^ ubique,/ed tunc potiffi-"'*'^ 
"|^,Gum lucifucrim variicxpofitar v tuoccniraphantaftic<ii 
^ aodam &omnigeno colorc dcpidaeapparcnt, & coclcftisiri-! 
idiscolores, eosque qui in pavonumcaudiSj, aliaramquc avium 
;plomi$M|>arent, «nwikm^^ 

"^-^OTcaquc varieta tcioodu vero ad candclam , ajK iotcrdj|i ad: 
>ram,ocullumquidcm vcftrgium colorisdcmonftranL Ho- 
' )W^ijia4Iuccm,intenmalmk^ 



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14^ Poft» I, Lih. V: 

. f^ctfl njQt ex latibuIoTerd fatf^e ptodo&is, reliqoi eradefcant. 
Ti nguntur aattem iRo t olore nod pidse imagines, fed ^ eamuio 
ihcilae. RescflrftijttirqiiimdfcipotefHrpcaomdecipieiisVeuin 
Bic cotor neatlqdatn terrethis ^ , dcc peniciHb iddudtjs» fi^ la- 
tedte Natarardt Aitis induftrii per evaporationem in charu . ut 
dicemus, produ^lus. QuodltiTC^m ciim prim^m vidtiet Kir- 
cherus,b^fila%<^uahtniihil ad^dttfirataer ei fi>e<9aculum-.(ed Na< 

. tureelitebras cutif<ftitri ing;re^s , ftartificitini tubolfaciens,to- 
tum fecretuin ( qudd n^ pro multk tpiidem aurl copta comrau- 
hicare volebatoftentator) DeigratiaexNaituneprincipiisiote' 

Srumnonadmochimintenlb ftudio eruit-, quod iSc curiofoLe- 
:ori itiretiltaTecotlipedl^titiiselibenterltye: clt. coihmunfcarit, 
&efliqu9d fequitut. 

Accipe &Iiscommuftis partemunam,faKsattimoii{kdda- 
^ plum primi,vitrloltRomai^i & Cyprij, hoc eft,viHits6c cxtulei, 
aruminisToIfici,vuig6 della Rocca,tantum ex uno, quadtum ex 
altero. MifceanttiromAiaflmd-, poiiaiiturqttetabalaeoVapo- 
ratorio Chy miftis noto » & mox ubi liquefadam (alicthliiltuv^ 
ram vaporareftoti^K, at<«;>ni^if|lagit«ct itlcl^,9apori cxpo- 
ne>&: coloresfalibus vitrioIisquenaturaUterinnti, vaporiqip<;r- 
mitti>i^g*btsilK>xtft(^icoi?^iimt^Mefi>tinge(itv ^ 
cthrmm i HaEC coIoriiin,gj$q#fifi cft:q^(iM«ixided(CJ^irchrro, ulteriiis 
hgno si- philofophandicircacoloresiiiosphaQtafticos, quosaq^ainjit 
^ rV" NepftfllSb, de quo fupra Chrbfriatli! l'ti5&a.pi'<>dniSti. 

dl%ujpf f titat coim , aquam didam pf odiverfa^^titttljrafuiSli ii^l:iVinoii 
'^lliilv^wvltl^^^^iydi^^oil^^PP^ origiiietrthaber^,o6a^ 
. - ' coloTtshdffce falinos, dfe quibus hic triiaavimus,pc? cvaf^rado" 
. nWtSrilgiWibtts idda<^ios. Cumet)imdlAumIigoum^IdaitvJ 
ifn»Mt&tliV|^ac, ItifaltVtf^^aAA omma c^dhifnlieffli' 

ifi ht^a^^tiiitibUlf iS 6kf^iVi^ntiis conftati 6r ut colorbsifli¥ji(^<flu- 
tfthOdildidquecommufticatf, pfodivetfalucisiiieidcilriailiv^t 

. . , * jehaijfcge.' 

.«^- 
CHRO- 



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DEper 



MagiaGhromatica. ^41 
CHROMATISMUS XL 
Imdgtnem finger€,quA oculos adte (emper^quocunque 
te^ertemycomvcrjoshabeat. 
^ita eft ratio qu acdam fan^ mirabilis 1 qua humanus vultus tm^hm 
'kaad vivum cxprimiturpiduri, ut intuentemquocunque''"J^^^ 
locp ftpcerit,defixa femper acie intueatur, haud fecus ac fi mobt- ^ 
lt|ifiiagohaberetoculos, eofqueadomnemlocam, qu^fefpe- f^nvirtai^ 
^jforconvcrtit » propriS virtuce circumferrec. Vidt ego buiuf- 
a|(g||limaginemFrancofurtiad Macnum in periftylio Patrum 
^jiKdicanorum, in quo antiq 

^^^nfti patientisi eft enim inter illas piduras inMgo Chrifti ^ 
iftfau, cuiusocuiifemperintuentemrefpiciunt^five^fronte 
iyead latusdextrodum finiftrorfumque, ad muitam etiara 
littam,difcedat. 

/•^^lilduras igitur huiufmodi imaginem,ita procede. Siftat tibi 
''"^naalfquacohabitu, quo volueris, proprototypo , quas 
ilos pcrpctuo, conftanter, 5cimmobiliter,fixis ocuiisrc- 
Huiusper/ona^tedidaratione re/picientisvultumfi ad 
lif^jnxeris, habebii pecitum 3 femper enim qu6cunque te 
w tften ifetocc refpicere vidgbitun Cuiusreirauobasccft, qu6d 
ocrtufquc oculi refpicicntis perfonac in pidoris oculos 
idctduas pyramides vifualcs, quarumbafesfintocuii i« 
[i]U2ecumad vivum ^principiofintfundatar, & ijfdcm 
'ijllundisinfiftant; idcoqu6cunquc teverteris> oculis 
sices perpetu6 te pcrfcquenter , cum fitum refpcdum- 
lcipib acquifitum mira quadam vi & proprictatc pcr* 
(crvent Quod nunquam tamcn fieri videfflus,fi oculi 
bncentun Nequcctiamhocunquaminftatuarumo* 
rfliim habet : quia cumftatuarum oculi fphasrica; uc 
I figurae fint,& promincntcs cxtra plani fupcrficicm-i fic 
rj^ramidis vilualis perpctuam quoque mutationem ha- 
queocuii in obliquo refpcdu totam ftatua^ oculi bafim 
lettdanc^ acproindeftatuarufti inomnempartempro-. 

HH fpcaus 





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^42 Partis I. Libcr V. 

fpedusAttiltiseft. Id folisigiturplanis fuperficiebus buiufmodi 
iD oroDem partem imagiDis alicuiusre/peclusdidaracionefieri 
poteft. 

Hac ieitur ratioDc aliqui pidores imaginem mortis cum ar- 
cuiuartincios^depinxerunt , uttelumarcuiimpofitum » quo^ 
cunque te vertas> non fine horrore inteexpioderevellevidea- 
tur. Hac eadem ratione & arte innumera alia depingi i^pidori- 
bospoflunt , icaad Natura^exemplumcffbrmata) ot Qikilip& 
praster vitam deefle videatur: nec enim oculi tantum diAaratio. 
nedepida> (ed &inftrumentaverfus tedireda» inomnemptf- 
teiA proiedionem mentientunKircheruslib^de Luce & 
para.poftcaputi). 

CHROMATISMUS XIL 

Vkltumy manftSy capiffos^ eoloreattq»amdt» 

durabilitingere. 

c^tcfik^ /^Arotingi poteft velutcitdablurpoflit» velutdiutiiisdurer. 

^*^^ tollatur , accipc juglandium & maiorum puoko- 
Mii » r^)/- granatorum cortices % eosque aceto macera dieDusqua^ 

^h&c tuor, vel quinquC) ac d einde prarlo exprime. Succus h\c facienn 
manus, & cor pus totum iu tingit > uc i£thfops quis videaairi{c 
aliquot dtebus durat. 

Oleum melhs colorem croceam reddit > & rubrum» ut per 
dies dtecem aut plures colornon recedat. 

Sulphuris /ufiumigatio factem adeo decolorat^ ut videarii , 
)!angotemporeareerIe<ftodecubui{Iesfedcit6aboIetun Atfivii ' 
multis dieb^ per{tet,fic a^gerrime aboIeatur,u tere aqua fortiqox 
aurum^abargento feparat, exhalinitro &vitrioIo.coDfedl> & 
prsecfpuc priiis aliquidargeDti corrofbrit^fic viginti dierumfpa- 
cioperdUrabit: 

Capiltos & barbam rubrd^vel creceocorore tingitoleofli 
meHiSy roifluraque menfis fpacio perduratt. At (Icani vel £avi 

£ieriiit 



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Magia Chromltica. 24^ 

fueriot capiUi > poterimus eos nigrosreddere valido lixivio , ift 
quo lithargyrum decodum. Porca lib.io. capj. 

CumiQumlivorempalioremquebibentibusgigDitCumi» 
ao etiam fufiiuQtur» quifaciesfuasextermiQaQtiUtiandiutem»^ 
6c corporis maceratioQem (imulent. 

Excremeuta fanguineo colore tinguntur» ut (anguinis flu- 
xumquispati videatur, fi mororumfrudu^j vcKangumem por« 
dnumcodumedat. Indics ficus frudus, qui mororummodo 
maturimanusinficiunt, ficomederis>ranguineam urinam red* 
dwit. Rubiaetiam tindorumefu urinam cruentam exigiti ex 
HtfcQriJe. Legi tur etiam , (i quis manu eam Iiabuerit diutius» 
urinam tingere. Poru Iib«8. Magia: Na- 
tur.cap.13. 




HH 2 



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1 



244 ?Kth I. Liber VI. 

L I B E R VL 

DE MAGIA CATO- 

PTRICA, 

Sive 

DeProdigiofarerum exhibitio- 

neper fpecula. 

PROOEMIUM.. 

fjyj^J. l^^S I ^^^^'^^ ohyiHm.quam IfecuU 5 mhittam prodigio- 
i W > qtMm fpeculorHm phajmata ; mhrltam ardu- 
M^^^ 3 ^«i/» finceraatqueperfeSla J^eculorum^ ^eo- 
, rum qu£ p^r ^ecula exhibentur^ notttia. In altis artthus Mquc 
fcientiis prima Elementa nihtlabdtti habenty t^pauca ^Urum^ 
que qua ex Elementts deducuntur^ miraculi laco habentuty c^- 
teracenfenturcommunta^i^ njixadmirattonedigna.itn €at(h 
ptrica^ hocefiy defitculU Sctentiay njelipjaprinmBlcmentA 
cenfinturmiray qua^^eraexijsdeducuntuty omniaprodt^ofi 
funtyomnia magicaymulta etiam fupra humanam fidem. ^id 
entm magis incredibtleyquam fpeculss hofiiumnaves longedfjf- 
tai pojfiexuriy rerum imagines tnaerefit^endi , charaSiercs& 
figna qualibet in maximam dtfiantiamfiegano^aphico^ art^ 
Bi^tMCi^ f /(^ proijci y abfintia cordm ruideri , prafintfafifitproculdi^y 
HttruM. altaque innumcra^ exhtberi l F/ac tamen omnia, fieri 



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Magia Catoptrica. 24; 

docebintffs , (^fa&a ah Archimede^ Proclo^ ^ aliis ofiendemm 
in bac noftra ^Magia Catoftrica qua aliudmhileji , quam re- 
condtta qu^dam facultas , ea j^eculorum ofe exhibendi , qua o^ 
.V mnemhumaniintelle^uscaftumexcedcre^ideantur. ^are 
ffii^ienterVhtonit judtcio in Theateto ftatuere prifei , Iridem 
Thaumantisyidefi, admirationis filiam ; ferores eius meritm 
' wHBinuieJfecatoptncaiimagines t£ operationes^quiffe ipfeu 
jl- .^^ecuitsprognatM , non fecus ac e meteorelogicoj^eculo , nube 
"^^^Hmrofeida 0" cava^ Ariftotclc & Scncca tefetbus^genus 
k fulchernma Iris. ^uoniam a^ero LeSiorem meum non 
r felt4m ^ecula , ^ fiupendos eorum mirarieffeUus ^ Jed 
m ettam caufas a^gnare^ aut faltem indagare mecum 
; ea methodo hancMa^am tradere conabor^n/t quiH^ 
opo^qut modo (Jeometriconm Euclidis Elementortm 
ignarusnonjti ^^aftarefojfet. CaterinudApraxicon^ 
^0IKj^miist^ Sitergo 

.^.^: PARS PRIMA. 

*i;|iBE PR^LUSIONIBUS 

CATOPTRICIS; 
'acipue m hifieFralHfionibtu expUcaboi Trirno ter- J^^J^"* ' 
^tfiu.uocabida in. Catoptricisrvfitata tOftpote finems. 
mtelligentia percipi qua^ di^itri fiimus pofibac , non 
\ f{is:jtdjungemuinonnulIai Hypotbefis f^^velut A- 
dlCatoptricfs recepta: . SecundhynonnuUas f^eculo' 
'ietatesyommhus (^eculis communes, proponam^ac de- 
ol{ abatruero proprietatesfingiMs^etulorumgeneri- 
HH %, bmpro*' 





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i: 



24tf Partis I. Liber V I. 

hfaproprioi, tradam pojled fuis locis. Tertio^nonnuUdt ^ecu- 
hrumconfciendoritm fraxes^i/ela i/arits Au^oribiu/vtlA 
iffs Arttfictbus acceptaSyprafiriham^ I/ts exflicatis^a^bmm 
pcuropede (atoptricaMagtaadytay majoricurn<voU^tii( 
in ijflem 'verfabimur. 

PR^LUSIO I. 
DeDefinitionibus, &: Hypothc- 

fibus Cacoptricis, 

"D quod meeUantibm fpeculisvidemus , e^t ipfim obieBm 
\radians in fpeculatUt pojiea expUcabimtu in tertia Hypo^ 
fit hnde ofifio per Jpecula fit per radios refiexos , dum mtmrm 
direSli radtj objeSiorum in fpecula incidentes rejle^unturd¥ 
culim, In bac igiturper radios rejlexos '-vifione multi occnt' 
runt termini fiu afocabula , quibus tAuBores rutuntur, fi tat 
cim ipfis y quA nunc explicabimus. Subjungemus deindemt- 
nullas Hypothefisy quas fine demonfiratione fibi concediptjbh 
iantCatoptricaScriptores, 

cs,^.ru. DEFINITIONES 

;.f'"" CATOPTRIGiE. 

I. 

tmdufum f^Orpus radiofum vocamusomDeillud, quod vd luaieQtKl 
«nfm. ^ fpecies colorum difiiindic per medium cUaphanum.Tanatf' 
tem lumen , quimfpecies colorum , appellamus radios. fiMOft 
pusquidem profiindens Iumen,appellamuslumino(um}cotpi( 
v8r6profiuidciisfpecie$,Q>IoratujiL ! 

IIR»' 



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Magia Catoptrica* 247 

Radi> corporis luminofi&colorati, nonluntlincxm^tbe^KMdifcor^ 
roatica: omnis latitudlnis cxpcrtcs ) fcd funt lumcn ipfum ^ip'^''^^^'^ ^ 
<]uc fpccics , diflfufa pcr mcdium diaphanum fphasricc , & hncish//;^ ^ 
rcdis. Concipimus tamen in huiufmodilumine, & fpeciebu5> 
ineas mathematicas,& fuperficies3& (olidas figuras mathcmati- 
cas^nempe pyramides , conos, cyhndros,&c. & ijs ut ulibos uti- 
mar iD explicandis ac demonftrandis fpeculorum phasnomenis; 

Radios recaus feu dire^lus (fi ve lumlnis, five ipecierum) eft, ^^/J^ 
quao^radius abaliquo corpore luminofoautcobratoprofu-jij]^^,^^^ 
fus,pfO]pagatur per medium diaphanum tedk,tc in nullum cor- 
pui<;pacum impingit^ Radius ver6 refi^exus (five luminis, fivc 
^ederum) eft » quando radius rcdus ab aliquo corpore lumino^ 
oaoccoloratoprofuftis, & per medium diaphanumaliqnantr« 
Ipei^pfogrcflus r impingit incorpus opacum aptum ad iplum re* 
leSttnmm > & ficimpadus,&urtcrius progredi prohibitus , re- 
ledtctiracrevertiturin idem mcdiumdiapnanum^perquodan- 
eatfttofierat; nonfecusacpila luioria pera6remab impellente 
id raumm ofque delata , reneditur k muro, & in eundem aercm 
'cventeir. Efto m appofiufigura corpus feu punAum radiansVide fm^ 
K, rac&iis redus fcu diiredus a b,. corpus opacum in quod ra- i^IcomL 
liat» CD« punduminquodinciditracfius, &iquorcneAitur,^i^*^ 
i, liiwaperquam refieaiturjt fi £> eritradiusdiredus ab^ ra:- 
diuiirer^refiexus bc. , 

IV. 

Cofpus fpecularcfeu fpeculum^ cft omne corpos poYitumjfi^inm^ 
jYC ab artc,five a na tura^ Politlo autcm corporum cft p^f tium 
fQperficici politi corporis continuitas pcrfci^a finc ulla poro."^*^ 
rumjjniequahtatis^afpcci^ Specu* 
iiixi^Kdomne, aut planumeft,au 

loc ews^miftum. £t tam convexum qu^m concavum, autcft^/^^f^^^^'**' 
pharfijcum,autcylindricum , autconicum,3ut pyramidale, aut ^^^^^ 
ilfpticumj.aut parabolicuma.au t hyperboltcum^autaliarumfi. 

gurai^ 



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248 Partis I. Lib. VL 

Vide Fi^giiraiiimfnquibusconcayum&convexumd^^^ '^^^^B* 
i.Icoiiir iuperiori reda cbd reprasfentat (peculum planum^curtt f 
BG convexum 4>bacricum,alceracura hbi concafumipuei 
ricum. RjrliquorumfigurasdabimusJibro^equenti. 

zhes ineu , Dueaincidentia diciturilla» juxta cuius diredioneAlfa^ 
^^a\' usredus corporis feu pundi radiantis incidit in poliliiSlliiidl 
xlco^' (uperficiem. Talis eft refta a b in pr«cedenti figttfaL ^^W^. 

X I V. ^ 

Lm$0r$ju^ Lineareflexionisdiclturillajuxtacuius diredioti^ 

Mhnk^ 115 redus in fuperficie polici corporis receptus , & propter j 
tis opacitatemuIteri£is indiredumprogredi nonpermir 
fleditur in medium diaphanum » & ad rifum in ipfo exid 

Vidc Fi&TaUseftreda b£ ineademfi^raprxcedente. 

.i.Iconifr VI L 

^ ^ Pundum incidentia?,& punSum rcflexionis, dicit 

^incidMu ii^ quo Iineaincidentia:inciditinfpeculi fuperHciem , &|t^ 
^ r^xi#-nea reflexionis rcTertitur in ineaium. Tale e(l puiii 

p. idem enim eft utriufquepUDdum^quiar^diorumref 
7lco^ per fit 4 pundo incidcntia:, 

V^indi^ Pcfrpendicularis fuper fuperficiem fpeculi , k quo j 
cuiMriifu- xioyxiidcurlineaortbogonalitercreda inpundoincicfa 
^frjuicm ipcr^i^perficiem fpeculi illius , Aquo fit rcflexio , fi fp« 
^ ^planum. Stverofp^eculumiitconyexum^autconcafs 

dicitur perpendicu^arisfuper ipfumlineaiila^qua: efli^ 

cularis fuper fuperficiem planam , fpeciilum in pun^ 
Vide Fig.tiascontingentem. Taliseftreda kbm, qua^perpc 
I. Icoiiiif eft>ut fuppono^reiftasfeu plano cd, contingentitai 
xi^* convexum fbg, quamconcavum hbi, inpun<S<>j|7^ 

perpendiculans in fpeculis fphasricis.tam convexisf 

vis> fempcr tranfit per centrum fpeculi. 

1 X. 

t^hnk Superficies rcflexionis dicitur iila fuperficicsim^ 



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MagUCatO^rica 249 

j|pt^cd«|»^caa,quaecontiB^&lineamiiK:id^^ 
#^*^tw>fe>&;PerpeDdicul»r«ii)janidiaam. Talcminap. » 
ijjwa.f^Ml reprA/entat lupdr^bics £ba, in qui func re<9;« Vi<Jc fik 
w,B^,i|K:, fiimag»ncmur cp, vcl hb 1, vel fbq, c{Ifr/pe.r.icoaif 
«ifiilBAfaperficicm eba fupra ipfuro crcdam. juv^. 

3C. 

„CathetU6 incidcntiac dicitur linca llla>qua?ex pun^o ali-^ . 
|»,«)rporis in fpcculum radiantisducitur no^maliteradpIa-S^!![. 
a»fpetulifuperficicm(ctiamprodu<iam,fiopuseft)ai»tadpla- * 
^«•ijcontinj^eDfi fjjccolum convcxumaut concavumia pundo Vidc. FiV 



. alis cft recla a d f efpc^au reiaa: c d, contingcotis Ic< 
«ulum «Bi» quimlpccumm fBG, inpun<2o b. «iv* 

XI. 

' Catiictusreflexionisdiciiuriineailla,qua!ipun<aoillo,ad^ , 
•^^inatur ipfa Imca refleitionisC ut 4 ccnto vifas , Vel ab r^LZ 

adqucmf eflexioterminatar)duciturnotmaliter ad 
^bli fupcrficicm,aut ad planum contingens fpccu- Vidc Fir. 
^Hcum in puoa;o rcflcxionis. Talis cflr £ c refpeau IconiC 



%lakesc 



CD. 



Xll 



XIV. 



ictes incidentia?dicitur illafupcrficics imaginaria fu- 5«**./?«« 
m efc(aa,qu« continctur cathetoiiicidentia;,&; linca 

htcidtiiiu, 

Taliseltfupcrcie« ABD. Vide Fig. 

Xfll. . ^ i.Iconiif 

fes incidentt* dicitor iHcqncm fubtendit cathetus 
aruperficie rcflexionis rautqucmconftituitlinca in. «SL, 
un&dim Iinca illa , quaceft communis teaio fuperficici j r 
b-& ^eculi plani, aut plapi fpeculum fph«ricum in. |:l5^* 
-«•^^contingcrttis. Taliscftangulus abd. jIiT^* 
XIV, 

foflexioms diciturille,quemfabiefldiecathetus;J&j, 

««ijuemconftituItlincareflexionis,un4cumpr«. f5 
mfeaione, Taliscft^ngulus ebc. i;ic^ ^*' 

5^ . n XV.Tri.xiv. 



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2fo Fartis I. Lib. Vf^ 

XV. 

^Mmguim Tf iangulus iDcidentisr cft^quem fupcr/ptcull plani ftjpcrff. 
^***^'*** ettmyautfuperplanuni contingcns fpeculum fphscricum, fbodat 
Vide Fie. r^dius inciaentiae, una cqm fuo cathcto. Talis cdtriangulus 
s.konifT ABD. 

XIV. XVL 

Trimpthi^ TrianguRis rcffcxioniscft^qucm ftipcr pr^diAam fdpcrfT- 
viT' ciem conftituj t radius rcfltxionis una cum fuo cathcta> Talis 

luSoni^^^^^^SI"'^ '^^' 

/» his^du$bus triangulis '( etUm in aUis fimiUbus trUfigulis re- 

S4ngHUs)linea CB, & db, dicunturbafesslined EC cf ad, 

tkenyliniit BB, dr ab, hypothenuftyjtvefubtenfi^ 

xvn; 

Lincaiuperficiei reffcxionts c(lilla,quameificit Aiperficits 
Mrfiemr$. rcffcxionisfecans planumfpcculitaucplanum Gontingiensrpccu*' 
YidcEi ^^^* cftcommunisfc<5io fupcrficicircflcxionis , 8c pla- 

jj^^f ' ni prasdidL Taliscftrcaa CBOi EtfiLipcrhanc linearonm» 
xi\r«. daturpropri£loqucndo>dupIcx.pra^idustrianguIus«. 

xviin 

*w^f ^^- Imago dicitur forma illius objc<ai , quod in %cculo , aut.ifi^ 
^'"•^'^fta v^cLextraipcculumapparct* 

xix; 

t»eHs imMP Eocusimaginis dicitur Ibcus yifipnis^pra^didas formar, ftili^ 
pnujjt j^e- cetlbeus in quaapparctillaformain fpeculotaut intra v^lcxtrai 
ipfumt. 

XX. 

ueUnMih- Iticlinatio radii fupra lupcrflcicm tpccuW^ cftangulusaco» 
^yVf^^^^ tusjqucmobliquus radius incidcntia: rcfl^exionis cracit cum^ 
^^^^/''^ perpendiculari. Talls cft angulijs, abk, ebk,. rc/pcdufupcp- 
Vidc Fi ficierunt (pcculi plani i c ds convcxi f b^g, & concavi h bx £t 
2^{^Q^-phi^iam dicuntur fa^pc anguli incidcntia: & rcflcxionis } /iKit 
jyy, * enim rcmper.interiea?qpalcs.. 



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MaguCafioptcici. ifi 

HYOTHESES CATO- 

P T R I C 

JJTpothefis p^Hty qud fine demonftratione ^^^cedi pofiu^ ^^^^^^ 
mii^t»ri Mathemattcis. CKps tamen fiquentes nofirds cat#. 
CMofincas Hypothefis aliqmbMargHmentis^ matons prmtta^ 
m ifgo^roborabimus. 

\. 

i^mglefieculftm, ctnuscune^ fi^fiS'*''^^ refleStit lumeny 
K-^^ colorum Jj?ecieS y ficundum lineas re^ 
fii,,t ' Mas y t3 a ^iuoltbct funSlo in quoi^ 

incidunt. 

a^erientia. Nam fi opponas rpeculumlumiiii Ford , &: j^^^^ 
iirivact illuminato,obliique radiantibuslo (peculum,ma-rf/2#^ /1«. 

tadparietemvicinumreflexioluminis&colorisi&mo* «^*^*- 

il jj fe nl o movetur radius reflexus,mutanslocumin pariete>&:^^^^^ 
jdMSm fp^culo aufercur lumeti reflexum } fignumergo efl:, quod rt^nf. 
^ t'S^colorum fpecies rcfledantur k fpeculis. £t fi^loco, 
litradhis reflexus,manusveIaliudcorpusmundumdu- 
:i}rndum lineam redam ad fuperficiem rpeculiyfemper 
lumcn & colorjquod fignumefl:,reflexionemfieri fe» - 
\ Hiieas redlas. £t quia omnia fpeculi pundaeandem $fiettU 
rviib, fequitur quod a quolibet fiatj^eflexio, in quod luni£f «^^^^ 
ciescadunt» Caduntauteminomnia,adqu«icorpore^^JJ*^^ 
i> & colorato ducl poflunt lineac tc&x^ uti ex naturaj-a 
i|»atet,dequa eginius4ib t.Praelui!i. 

Jiijr} C O R O L L A R I tl M, 

Tpiiliiitliijr II ^ettCmradUHtit : nm intfftjkstmtttmftrti Ztr/mf!ir. 

41 X :ftrcipun-ttmift»ftt* 

r • 

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tfz Partii f. Lib. VI 

pimffgMtgrnJ^rfJ^^ c$»jlfdL Sidhcinfrl 

demonflrkhimm^ 

iS' ohjedim radians transfertur ad IdCMm ocuU^^ 

antea^ tramiu radiat m oculim i taw in 
n;iJionc dircBa^qudm m re^ 
fixa. " 

(9hhaum P Acct cxperientia. Sit cnim objeSuni radians radiatiopc dT- 
tfMmUtum rcdialn a, &ocaiusio transferacurquc a id b>6c eia 
'^^r*^* Ai non minus b radiabit iir a per traniiteni BAf quam 
^*^'*antea radlabac a In b pcMramiwm. ab. Etratio cft,quu 
trsmitiim ubicupqucpojDatur objct^um radiiuis, onmia c^tcra Oia^enc 
^ulum. %adem,radjat in orbcm^ pcrJineas rciJlas,pcrdi(Jbfupra fib.i. 
Vide Fifi. P^^^^uf-y.&^- Quodautcm didom cll dc radiationc dirccTa,in- 
^^ljj.gi^tcni^ctiamdcbctdcrcflcxa. Sjt enimobjcclum radjansin c, 
^ wV.. radretquc dircifle in pundum £, (pccuti plini ab> aut con- 
cavi FEG^ autcofivcxi m en, & apundo t rcflcx6radi«ia 
a ocuton: fiobicilumcollocctur in 8cocuIi|sip c, atftlwc 
ebjeiJum radiabn cx d dire<5leia e, i&cx e rcflc>c^ jD c. 
^atct cadcmexpericntia^ Etratio cft,quia,per di<JUIfe«)- 
^cfipriiccd.fi objcdum c coUoccturin indequcrlaict 
ih cx B rcflciftuntur radii vcrfus c oppofitatn pai?pni>. 
et^pfi maiieBtibus otnnibuscasterisponaturidcm p^|C^^ 
isr, &^radictin E; inderadiabicin x>i 

tlL 

lh ff?ecula ol^jii^Hm y nan jfecies: ohjeBl vi^ 

eletMTi. 

• ^^tCtum^ 

ir)UIdamputaor,inipecuIis videri itial^^^ 
afefif.vf* v4QQQj:es jpfa&. ^ed&ac^famelk liSiqtiisYidetfeiffaljqua 



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• Magia Gatoptrica* 20 

^ecu!ipattc,matusif)djmmpartemnoo vJiietfe^npiiHsjeilJa 
parte (peculi,(ed in alia,& tamen projicit adhuc /pecies fui in 
priorem lllarn parcem,quiain cotam (peculi fuperficiem eas pro» 
* jicit. 1 f. Si<]ciisvkiicin fpeculoaIiquQdcorpu;(,&:nnqtat(itomr 
poi^flaccidere> ut non videat ampliusin fpe^uloilludcorpus» 
iicet videat totam fpeculi fuperficiem^&corpus ameariiiim 
non mutet locum , roiittatqae adkuc formam fui in fpeculum. 
ill. RcsnonapparetfcmpcrinfupcrficiefpccuIi,fedveIintra, 
vel extra Tpeculum, ut patet cxperientia , &c rarieadfignabitpr in 
requentibus» Etquo mgg'Scorpusvifumrcmbv«iir ifpoculor 
aut^eculum 4 corpore, eo magisapparet hnra>4altemmfpeotu 
Jis planis. I V. lii uno eodemque punSo fpeculi ikdtverfis vifi- 
bus diverfa confpiciuntur objcAa. V. Si qtris moveat Ipecn- 
lafPjimmotomaneDteoculorOCulusnifail vidctamplitis tn Q>c* 
culo,etiamfiobjedumadhucmittatinjprum/peeie$. (pfumer- 
go objicdGm,non KJblum objeai vidctur.. Vid^turepgp 
foetulum ?res objc^b ,ied nonnbi cft.. 

iv:. 

Radius mcidentia^,8c rcflexionis,6cquaiuor puo^^ 
fJfil>iJi5^*ncidentia?,imaginis,St ocuIi,funt in eedcm plano^ De- ^"^^!^ 
monflraturaYitelIone,&.abomnibusadmHth:ur. nl^!^' 

Si extrema pun<a^ ob jefli radiantin fpecuHim<]Uodconqj,^'^^^^ 
ftiamradiantintermcdiapunda; Sitfpcculum ab, objedum 
radians^ cd, cujus extrema punda c & radientin b & 
Radtabuntetiamomoiapundaintcr c 6c d idterjedaini^. 
culunii AB^^qoidcminterpun^a a&p. 

PR^LUSrO II 
DeProprietatibus, oninibus fpeculis; 

cotnmunibut.. 

On.omnesfid fracifuas fotHm ?roprietat€s addttcam') '^^^jj^ 
quidemillaSi qua ommhusjfecuUscommunesjmti^nUas 

11 i mim^""* 



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2f4 Partii 1. Libcr VI. 

fmmqMcertisJpemlorumgenmhM proprujkntyfiiskcisif* 
Jeram. 

PR01>OSITIO L PROPRIETAS l • 

Jn amnibus Jpeculu radijohlique iucidenies re^eStm- 
SHradangHlosaqualesangulisincidenti^. 

jhtgams T^Etnooftratiir I. m /peculis planis. Sit emmfpeculuro plv 
^dmitu '-^num AB, radiusiacidcncia; c£> & radiusreaexionis ed, 
*'^^^^^cproindceb)eAumiit in c, ficoculus in o. Quoniam^ 
%^S^-oy>jtdt^nitOiia c, fiponamusangulumincideiitlareflemajo- 
\€ui$u remangiiloreflexionis^angulus c£a eritmajorangulo dei. 

Ponatur jam obiedum in d, & oculus In c; radiabitobi^. 
VidcFig,^mjj eodemtramiteinoculum quoantea«diabat,^| 
iii.lconii.^ ^j^fhfj: proinde fi ponaraus angulum incidentiareffentt' , 
wMi^U' ^iorem angulo reflexionis,crit angulus o e b major angulo c Ei, | 
^^mc$' ^acproindeidemangulus cea eritmajor&minoralcero quo^ 
d€m$$in teftabfurdum. Angulus ergo incidcnua: efl; a^qualis anguiorof 

^;sS^;:;'flcxionis. . 

md Mgulas Demonftratur IL infpeculisconTexis. Sitfpecuknna*- 
vexum M£Ni & pun^lum incidentia; ac reflexionisiit clH' 
caturqoe reda a3 contingensfpeculuminpopdo £..Qoo« 
niamigicur^ngulus deb a:qualiseftangulo cea, ut^bOK»)- 
ftratum efts ^ctiamanguli contingentise m€ a, n eb, totx- 
<]uales^?i//rjcii5./^y^^%/Wi*erittocusangulus ciem, z(plSi 
tociangulo oen. 

Demonftracur II J. in fpeculis cohcavis. Sic Ypeculoii 
concavum f^g, 8c reliquautancea. Quooiaaiigrturangufa 
jD £ b asqualis eft angulo c £ a, & angulus conctngencia;. g £ 
/ an^ulo F£A} eric ctiam reliquus D E^c arqualis relb> 
quo cfiF. <^uod fi]itdemon* 
ilrandum*. 

PRO 



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Wagia Catoptrica; 2ff 
PROPOSITIO Ih PROPRIETAS II. 

homnihtis ^eculxs^ radijferpendicularit^rinffid^ ' 

tes refle^untur in je ifjps. 

Cltfpeculam plaauni a b praccedepcisFig.cadatqufi fapra i-iui/^^^^ . 
^pfti m radius icE perpendiculariter in puodo e, & faciat/*«^«a*^ 
angulos K E A, K EB a^quales, Dico, quod radius hic incidcn.^^^J^^^j" 
tia^redibit in fe ipfum per eandem re<3:am e.Kv Refle£latur c- ^esuUT^^ 
ninHfifieripote(^in c, itautradiusreflexionisefEciatduosan-/^^^^»^ 
gulos c £ A> c£ B. Quoniam igitur in omni Feflexione angulus.'^-^''^^'^*^ 
inckjBnil«a:quaIiseft^nguIoreflexionis,^ I.hums^ cxi^angu* y^j^ 
WcEA asqualisangjilp kbA]» parstoa3quode^iimpoflibiIc.jjj j^^^' 

Noo ergo radius ke refledeturin c, necadaliud pundum^iy. 

extiarc^am ek protradam. Eteadem eftratiodcaliisfpe-' 

culiti. • 

GO ROLL A RFA:. 

C\0Bpt$ir L qwd radius obUquelmcidemm Jpecukmy nonrefleifi^ 
^tur infeipjum^ ne^caditdd fartemanfftUminorUquemficitcum Vide Kg^, 
fUwj^uU: 'v.g, radtm c E incidemin E> nonrefleSiiturinfiifJ^m iir.IconiC 
fiomMmSneam zc, ne^caditinter c e^Ayfedinter e (jr B.jciv.. 
RiMefty^ifUa alioquin angulmincidentid non ej^taqualis angukrejfc^ 
xunk. 

CaBptur \\\ qnodflradtmin qualecut^ue Jpeculttmcadens 
ffMaktfad^gngttlis hinc4ude , iffl in feipfum refledatur^ alioquin inci* • 
^iae^r^xionisanguliinaquaUsfprent. 

PRQPOSJTIO lli PROPRIBTAS Ilk 

%smpeper j^eculiim refttxe:fion videtur ibt vbi efir 

Jcdhjhi non efl^nempein radio reflextonisprotraUb. 

C^ei^ecuhim planum e d, fupra qaod obicdum feapundumo^iViifttr^i 
^obicdi A mittat radiom ab, adpundum e, qui radtus 
^illojjanaorcflca^tur adioculam c Oculus c nonvide^IIII^J^. 

hifc ' 



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2f6 



Partis I. Libcr V I- 



yHe Fig.bicobiedttm a rn a, nempefaprarpccdain^&fecufldimrdife- 
iv.komi (aionemlincaefrad* cba, fcdvidcbit intra fpcculym, fccun- 
XIV. dfitfn dire^Hpncm racji> c^. Patet cxpcricnva. Etratiocft, 
quia vifiofit fccundumlincam rcdam. Vltcriorcm vcro huius 
rcirationcmphyficamhancaffigno* Vifio,quflBfitmcdiantibus 
fkf^qt^ ^ectebus vihbifibcfs fn cfculo rcccpri^ , ut cxplicavimus lib.i. 
'T^*^ Prsclik. 4. fefcjaitttf COiiditfdilcs fpecicfurttqaaipimmcdiatercci- 
./«^^pi^o^f^^- licctlpccres ab obicdfcoprofundintar purx& 
nnllotroter^ffcibdhc^ fi tameti in via, antcqua ad oculunfi pcrvcni- 
ant,C!nfgaftttrr colorcaliquo,ut dum tranfcunt pcr yitram, aliud- 
t&^meditmtcdorttxiwobicifhimrcprarfcntatutcdora 
expcrientiS q[t!KH;idiaitta conftatS^c ctiam dum fptcics dtfccdunc 
obicdo radih dirccSis , & fi(ectmd6m talcs radit>s dircdos 
proccdcrcnt ad ocuium yfquc , pcrvcnrtcnt ad ipfum pcr talcm 
vct calcmdctCFminatum^angulttffl» rcprdefcncarcntquc obic(3u 
cum tali vcl tali magnitudiaofi in via^ntcquam ad oculum per- 
vcniant , aut rcfleaantur^ aut rcfringantur , dc mutentprimam 
viam I ac in oculp conftituancahum angulum , maiorcm vcl mi- 
norctti5 pcrcipict oculusobic^um non fccundum priorcman- 
gufum, fcd fccundfam poftcriorcitr. Similicer rgicu 
A dirigat radimtt in & iti b pcr rtflcxioncm mucctu> pn- 
madrrc(3icrfccundumlii3feam ab, &infticuacutnova cft ^{t. 
-cut^iiwiftamnoyamdiredrdnempervenratradius ab ado- 
^ culum,nonfcnciccoculusillam priorcmdircclioncm,nccfecuO' 
dfim iUanrdirigctur acquc ducctur in obic<3:um A^quiaab illa 
ncwrpatrcurimmcdratej ffedfencletiftamfccundam cb, & abca 
ducccurinobiedum,quta'abiUaimiT{ediat^patitur; &itdjudi- 
cabict>biedum cffc in ifta fecund^dirfc(5l^iond > ncmpeinlinea 
CffF, proutexpcricntiadocct. Quodauccmdiximusrdclp^ul^ 
prano,intcirigi dcbct dc omni gcncrc fpcculomna^ quu irioflini- 
ibuscadcm ratio militat. 




R I S M A. 



»t, ccianryifioncm rcflexam ficri pcr lincamreiJanii 

quod 



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MagiJl Catoptrici. 2f7 
qu«d fupponit Euelides jn Gatoptricis Hypotbefi.I. Unds&oc,^ „. . 

^XIOMA CATOPTRtCf^M. 

'DEscmn&Apfaretm radio , quo ipJfmJmuUcrmAdreiindm^cdicMHftM 
forrigitur. Cui confonat illud aliud Kifieri in<uaOioptrica«*>i?M. . 
Num.19. UcmreiitjHmAtur exfUgd^iifqusmvifiriusradiusexocu- 
kprimum exit \ cfuidquid jam in medio itirure inter rem oculumin 
bacpUga per refraSlionem&reflexionem radijmutetfiri tfuia nequit 0- 
culmfercifore^ quid radiisferoccurfimmediortmextrafiaccidat , (oi 
futatiBosfergereineandemfimferfUgam^ uticaferant. 

PROPOSITIO IV- PROPRIETAS IV. 

In (juolibet Ijfeculo res vipt apparet in concurju cathr 
tfinciientiie radij reflexi frotraEii fer pun^um 
reflexionis. 

CltfoeculumplaQum ab, obie^flum c, radlansin x^^^caxoohknmm 
rcncdatur radius c D inoculum e pefcendat^ c ixxl^f^^A^ 
cuium perpendicularis five catlietus incidcatias c a prottiiAfi^^^]^'}^* 
verfus radiusYcrorcHexus £d protraliaturdired^idQnecrif^^f^j 



occurratcumcathctoinpun<ap f. pico.obiedum c ^parc-^*[^!!^^L* 
rcin p, Sititcrumfpcculumconvexum,autconcavum AB. cu-^^j^^^ 
iusfcentrura g, obiccftum vcro c radiet in & indeln EVideFig. 
oCdlum. Defcendat^ c ad centrum g cathctus cg, &pro.v.vi.vii. 
trabatur radius rcflexus £ d , occurrens catheto in f. Dico^vmJco- 
obiedum c apparcrein f. ni£xiv« 

HaDcProprictatcm demon(lrat£iyriSr^j in CatoptridsPro- 
poCi^.iy.ScjtS.exHypbthefifua i.4.&5.(]u6dnimirumvifiofit 
pcrUneam tt^izxnJbL quia in fpeculis occuDatoIoco>in quem ca* 
thetus inciden^a:cadit» rcsc^ua^ali^svi^eDatur, videriamplius 
noti potcft nettope in prima Figura occupato pundo a> & ia 
rdUqaisoccupatopunAd h. £xhocinfert,neceirari6videri 
incatheto CF. 

/^4;9i^rxiir(i^i!^il;iDParah'pom.adyitenonemcap.3 

KK ' cUdemeaiikiii. 



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-2;8 Parcis I. Lib, VI. 

clidemYals^ aflumere» qu6d occupato loco^i > non mpim 
▼]deaturobiedum:»ametfI aut h tegatur,autplan^auf^ 
ratur^dutrimodd D maDcatinihilominus c cerni aiTeritjD f 
aboculo £. £uclidisergodemonftrationeexpIosa>aliamcu- 
* det^enititur,multisjidnau(eamufqueprasmi(Cs. 
BiiWmI^i Egoputo,(i£#c//<^itfHypothe(is4«&5LfnteI%^ 
dtfmdtfHT. p|gj.y5 intdligit , fallam effe , ac proinde vim nullam habcrc 
demonftrationes in illis Hypotbelibus fundatas. Utrunique 
« per fe patet,& bene a0eritur 4 Keplero. 

Puto prasterea^Hypothefes illasaliter ede intelligendas,& 
demonftrationes Euclidis in itlisfundatas,lcgitimaselie. Addo- 
co ipfum textum grxcum. Hypothefis^.hstccft. Erroririir/jrWcif 

ti,&c. InJpeculupUniSCCcupatotocoin^uem perfendknlaris an vifi 
eadiP^res^judalihvidebatur^viderinon poteft. Hypothciis^. eft bsc 

roT^ KXf^roTt svoxlfOify KXrmhn^&ivrof rS roTrn 9i i ^ttJ ru c^ttfiiinsisii 
xivTfov Jiysra^ rn^ &(fcu^ctt, ^Kin o^irm ro ofc^iAtvov ro i' dv f v T«n?WJ- 

' i^oT<rorvfjt€auvei^ InJpectUUetiamconvexk^ occupatotocpper^jMeminctfh 

trumJ^haritareipfaperpendicuUrkducitur^reseiuaatiatvidehaturi^ 
derinompoteH. Idemquotjue incavisevenitjpeculu^ SupponitEu- 
clideSjtanquamexperientiSquotidian^certum^obicduniiii o- 
mnibus fpeculis apparere vcl intra, vel extra fpecurumi&qoo 
magis accedit ad ipfum fpeculum acce0u perpendiculaj^^^oc 
eft,fecundiim cathetum incidentiac,qaalis eft in Figura rd|p^A. 
rel CH, e6minusapparereintra vel extraipfum » dooectoir 
democcupet ip/um pundum in quod inciditcathetusi qmoc^ 
Vule Fk« cupato non apparet ampli£is in fpeculo. Explico. In prtma Ft* 
v.IconiL^gura»pun(5bum c apparctoculo^intrafpecul.uni iupun(floFV.gj 
XIV. velcircaipium,& qu6 magisdefcCdit c verfiis A,c6naajgis'aifGcdit 
rverfus tdem A,donec occupavcrit ipfvim pundu Ai <^uo occQp^ 
Virf, P tonon videturampIiiisaboculoBJtem idfecundafiguraobiplu 
^'•^^^apparctoculo Eintrafpeculuinpuhdo v.g, F,a^utcircaipfu<»jjSc 
qu6 magis defcendit obiedum c verfus h,c6 magis afcenditpun- 
Aum F verfiis idem donccoccupai?ent,j^qncipundum h» 
• ' ' quo 



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Magia Cf coptrica;T «f^ 

(^oiSbmpto (pu occtif^Mo^f apparct ampIi&siD fytctgA^ ocii* : 
\o I. S\cctiamintcrtiaFigura,'obic<aum c apparctpculo p\rict Pig, 
excrafpcculumin f, autcircaitludi&qu6magisacceclitadpuo<tViKlcou. 
Ctum Hy fecundumcathctum CH, e6miDu$apparetextra>do-xry. 
necoccupetipfum pundum hs quo occupato^non vldetur am- 
pliusinfpeculoabocuio e. TandeminquaruFiguraVobicifluVide Fig. 
c apparetocuio e intra^etulumm autcircaillud,&qu6^'n. Ic<h 
magis acceditad puodum h fecusdum cathetum chg, e6^*<iv« 
miQiisapparetmtraidonecoccupetipfumpundum u\ quooo 
cupato, oonvideturampliosaboculo £ infpeculq. 

Hoc fuppofito tanquamcerto> & experientta irrefragabi/ij 
comprobato, formzt EucliJes fuam^ ScyjFfypQtbelMn^qua: ion 
celleda in fenfu a nobis explicato , verifCma eu> 6c extra ompcm 
calumoiam. 

Quiaigiturvifiofitfecundumlineamredami ut fiipponit i« 
demEucIidcs tanquam certum, &experientia comptobatumt 
in Hypothcfi prima,8c nosprobavimus in Propofit. pra:cedente$ 
Euctidcae Proppfitioois X V I. §^dmmirumi»fUnitJ^itU$00$^ 
nisresqud njidctur , fecundMm eam qu4t i re vi/a ducitur ferfCfidicuU^ 
rf^it/^/ivrtdemonfh-ationem puto habete hunc fenfiim. Sit io Vide Fig, 
iuperiori Figura I.fpeculumplanum ad. obiedumradiaos <!,v«Icomu 
ooAw %y radius ipcidentte co* radius reflexionis dEi ca-^^^^ 
thetivmcidentiac caf. Quoniam igiturobiedum c apparec 
oculo fi in radio reflexionis edf protra^o^circa f, &qu6 
mansobiei^m c jper cathctum ipcideotias caf defcendit 
verms A, c6magisaicendit ^ verfus iciem a> donecoccupa- 
toloco A abobicAo c non videtur ampliiis ab oculo Bi^fi^ 
gnuroeft»Iocum f efieincatfaeto caf^ atcjaeadeoinipfocon- 
curfuradijceflexionis ftD protradi^ cumcudocatbeco^ Simi» 
lcm fcDfiim puto habere Demonftradonem Propofitio- 
nis X VJII. & X VIII eiuidcm 
£uclidi& 



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^4 Partis f. tibckiVi. 

PKoVxyiiriO'm:m<rmiErAi v. 

JmfoJfAik efifimiddm pim6fa emfHem rei vift^ah eo^ 
• dempunSio cHiufiunque ffeculi, refiediadidem punSim 
oculijrvel e.Mtobusfun£lie eiufdem jpecuti rejUr- 
Sijmn^mnfnimfmSifeiufdem 
' reinjipi. 
'TXEmoDftrathocrifriK» lib: y. Optlces Propofitip. cx AVtau» 
n:irt. Etquidetn fifcrmo fit deradiisperpendiculariter 
fticideDtibui rd^ecii^, Ires cl^ra e(V> qma noD pofluot iduobiu 
pdndtsextTa-fbperfictetitexifletltibusad idem punduro %er. 
fkieiduddns-perpendiculares, aut h contrarro » //r 13. Vmk^ 
Quoad radios oblique incidentes» ratiop>te(l e{{e, quia aogQliu 
redexionls non efltt zqualisangulo incidentiar* 

PROPOSirro vi. paopRiETAS vl . 

*vm fun^o^perfciei fpea^fcmufctmqtie^refeiit 
Prmam i/tti/ufunSii iht njifkdddmi 'Xftfits^non 
efifoffbtle. 

T^Efnonftratidifm nteffo\o. cit Propoflt.50. ex^ij&i^«wte.dt 
'^£tratioeft.quiajaliqquio angurasTeHbUbnishoD eStti^- 
&s«}guloincfd&0tile. 

P^OPOSlTlQ.yiL PROPRrETAS Vlt 
^4l^vmfurt6tohrefex$onit eHitefcunqueJfeeuUyMddi- 
/verps^Xfifittyfo^biUefirefieStifirmaipluriumftin^a- 
vtmtitlyiidfvetltsfvnAm^ 

13 Atioeft,qtuaficutradi>diverfipoffimtindderetDtdempoo> 
4^dum fpeculi fecund^ diver/os angi^s , itaeciampo&ct 
veile£iifccund&mdiverfosaDgulos^tqueadeoindtverfosvi/iis: 
£t ficuti iuuns pun^ radi jr poiSttat mcyere in puada ^rvk 



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Magia Catoptrica. 2<ft 

^e^uli , ita ab Ijs poflut) t reBe&uCtd in di verfbs vifijs. Prasterea 
ineademlinearenexioDispoflunta/Iigturiplura pun<5la, inqui- 
basconftitui pofluntplures vtfus^fednon flmul; autunu5,(ed di- 
veriis temporibus: & in ommbus i llis poteft videri res^ £t fi unus 
vjliis motus fuerit , fpeculomanente immoto; tunc etiam^fecun- 
dom fitus fui diverfltatem ab eodem punde^fpecuUad tpfum di- 
terfa pun Aaformarum refledentur. SediSc unus vifus motus» 
liBldtverflvifusi eandem formamvidebunt > ^diverflspundis 
nili reilexam ; quia quittbet pundus formacincidentis » totali 
srficiei ipeculi incidens: » ad aliquam partem oppofltam re^ 

•i^^^^ PROPRIETAS VIIL 

ciemyat ficundnm quiddiafhana^f bi^. 
idum quid dtaphana funtfpecula vitrca & cryftallina,qa? ^fftnUft^ 
[na fupcrficie ad alteram vfque, ubiterminatumc^pc-!^'!^ 
^ l^diaphaha funt,ideoque intra le fpecies recipiunt^Penitus aumt^bu^ 
«^b^mtmarmor Iaevigatum>& chalybea fpecula.^ • Okmidim^ 

^*^TKapliana igitur/ccundumquidfpecuIa>propter dupliccm J^J^ 
inctdentiam> unam in antertoriruperncicfinerefra- ^idihk^^ 
pf am in poderiori cum refradione > duplicem dant 
ireftexionem. Specie&enimin primamAiperficicmia-^ 
^pundo incidentia^ ftatimrefleci^uiituradangulumai^ 
Hgolaincidentia&diredarMnar eaedem penetrant ipecis^ 
adultimam opacamluperficiem^fedreB^adacs &indei; 
ir ad angulum asqualcm angLiIalncidentixreftada&. 
Icaota > cur in huiufinodi rpeculi&obie^fn appareaf: 
aliquanda triplex. In opacis ver^ f{>ecuii& uk 
mcaapparetimago>quiaiinicafit 
fcflcxio^ 






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252 ' Partis I. Libcr VL 

PROPOSITIO IX. PROPRfETAS IX. 
^Moto oculo^obieBHmtnalta fpectilt partecoit' 

Ijficitur. 

VI Ucatoehim oculiioco>abaliisparcfbusfpeculi /peciesrd^ 
^a!^^ oculum vcniunc , quam ancea s quia mucaro angulo 

Z^^r, reflex!onis,necefle eft mucari angulum iocidenciar, cachccuin,& 

ca^eraomnia. Pacetergopropodcum. 

PRi£LUSIO III. 

. fpcculorum confcdionc. 

^fShir Vawvis multiflex fitffeculorum materia^ aurum, dr- 
' \^Jgentum^as^chalybs^gemm£/narmor,nL;ttrum 
lus i njjttatiora tamen funt nunc qua fiuntex ruitro fiuayjldl- 
lo^ ex mixtura quadamfufilt Jpeculis chalybeisfimtUa. 
igiturquomodo fiant^ prtus docendum efl , qjudm adeorum 
ptmtranfeamtis. 

PRAGMATIA I. 

Specula plana ex vitro feu cryflallo conficere. 

sfuwU jr\ Iverfi func mpdiplana (pecula h vicro /eu cr yftallo codCueQ- 
^di Referamuficatforesquosiegi,aucabarcificibusdi^ 

jiim. loMttes BdP^M PortA Rb. 17. Magia: Nacur. cap.zi. aiti^^Ve* 

neciis hunc viai(!e modum. Vicream laminam ad vicriariam 
conficiunc fbrnacem ,^mque ftipra planam cabulamgvpioad- 
slucinataln poliunt,pnmum ex una.deinde ex alcera parce,ane 
Ipeciilificibus noca. Laminam policam iic cerminancex paM 
nna. Quandtatis elusdem ftanneam efficiunt bradeam plaoaiB, 
6cteniiem, qua poffunc diligencii. Supra hanc bra^eamvii 
vum argencumpedeleporino excricancuc cotaar^ntea videa« 
ciirtfic ubi in fbperficie ha:rere cernunt argencum viYum,aIbam 

tcvm 



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Magia Catoptrica. 26^ 

&mundam papyrum ft]perponunt> fic fupra papyrum dexter^b 
poipuntiaroinam vitream,lioeo pannopriuseuerum » tum Gnu 
ilramanu premunt vitreamlaminam^dextera papyrumfubtra* 
iiaoti& pondus vitroimponunt,utomniexpartebradeacuQia- 
ttir^firmiterque adix«erercat. 

AliiHc proceduot- Vitream aut cryftallinam laminara» 
uc prius i utrimc^i poliant ^ (lanneam bradeolam tenuemac pla* 
oii&mam ubulx polita? eiusdemquantitatisimponunti utram- 
l^aeybnuf^lam inquam & tabuianHlimbailateribus & capite 
iacludunt > bra^ealas argencum vivum fuperafBindunti atque 
a:qualiter diftribuunt > hiuc cryftallinam laminampaulatiminrv» 
ponunt» a calce intra limbos laterales eam intrudendo,<8c fucfum 
protrudendo^ita ut argentum vivum fortiter Umina premat, ra*- 
dat^atquead£quet>&quod fuperfluumeft^rurfum verfus lim« 
bumcapita^emviolenterpromoveat. Hisfadis>pondusimpo<» 
ounc fpeculo, donec omnia bene cohasreant Hunc modum» 
didiciabartificibus, eumqueiniimiarevideturP^r/4lib.4. Mag. 
Natur.pritts editar cap.18. 

P.K^iAanafiusKirrlieru^lib^xo.dc Luce &Umb.par.^.€ap.i. 
ioftrufdusabartificibus Venetis Jubet conficere ftanneambnb- 
^m ex ftanno Anglicano meiiori > eamque fupra tabulam 
quantum fieri potefl planam extendere, & ita extenfam vitro in* 
ducereei mdufki^^ ur nulla in bradea ruga aut macula remd^ 
Deat; detode vierum un^cum bra<fleaIigneo, autmetallicoIinK 
bocirciimdare«& bra^lex argentum vivum fuperafiundere^atq; 
Wilkicque tamdiu fluerepermittere>donectotum (it^ bra&ea 
iUonea imbibi tum^ His fa^is>(peculum e(lconfedum«. 

ANNOTATIO l 

f^Karathne vitrumtermiHAridixinms,p0teHdc fitetterminariet' ^^^^ 
^<Jbmfilenitisf(^umy^HedtAkum in Italia vocant. Hdbet hoc feli- Uninc^iS^ 
mu diff0^ mod^ ttrminatum id commodi , ut faci^in quanrvk formam ^wn. 
ftiucifojpt \ unde faciUime &commodiifim\ fieripojjunt ffecula fphA^ 
pka^lw4rica^nica^pjrjimidalia,parah^ 



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264 Partisl. Lib? 

quArumvls JigurArum^tam concsvs^qulm cmvexa. CurMvi fleri hsc 
materU & arte Panormi in Sicilia concavum cjlindricumM cxhiheB' 
ias eiui ope imagines in aere fendulas^felicijuccejfu. Simili raiisnt 
multacuravitferi Ramd P.Kircherus. In exferientiis fer vamp* 
culacapiendis nihileBcommadius, quam huimmodi fpecula adhibtrr, 
facile enim ^fine magnls fumftibm funt. 

ANNOTATIO IL 

Tsrnnea hraBeoU mtUm^am flumbea terminantur fftcuU\ 
ifff^ ^meliusac cundidim fiatmum eHyeomeliuseB : hraifeaenim^tuvi' 
^^y^^ tra iUinunturt radtos juos fer vitri exiguos meatm irsm/matit iunief 
W ^cmU nitida ftpnft^ nitkhm non fotefl red£pef^ectdum. 
u^num. PRAGMATIAIL 

H^ecuU concava ex vitro aut cryflallo ela^ 

borare. 

SficuU T Aboriofius fpeculo concavo inducitur bra(flea,qu4in plaoo. 
Iwrf^^** ^^odfjtm docet PorJa libj7.cap.ii. his^crbw. Paretur iff^if^ 
t^sri. hraihajfeculiquas^titatis^mm fifrac^nvexam /ufer/lciem mift^i 
t^J^uatin cemtro firmato finiftrd manm > dextra csrcumcirca hriSt- 
amfeftraffahis ^ & extendesfiifra diffam fiferficiem , don^^i^ctth 
wxd fiferficiei frnnam induati ae undique re3} adh^eat. )iix tx 
gjffo Uquejientiformam f^ecuUfarahis^fcilkeiUefUAtsda f^^ll^^ 
camvexam (isperficiem > cr reficcaugyffo hahehis tjfum. Ssfra^fm 
fiannedm hraffeam extendesj &tyfo undi^congruet , i/uiamui 
hraStea ex eddemfiferficie cpnfeiU fisnt : argentum vivumfifrahi^ 
fleam Jpargito , & leforino fedeadhstrere curato ( artifices auvivsrti' 
cuntin Italia) fafyrum fufraimfones^^fifrifpec^Umcemfrime^ 
fttfjrum educesjubioftime adhdfijje co^rss^versss fuhlatlemmufida 
imfone^ mox remove^ fiddHigenti mamss mramentOt ne vc** 
smcencifiat^ifundi^argentumvivmmadknreat^ 
HaccPoru. 



ANNO: 



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MagiaCatoptfica. 
A N N O T A T I O. 



*• »^ A A € 

QO0cMvi/phariciJ^eculimenfir4eadrcttl0S, cuim fegmeHUquan^ 

tumvtsmintmtycnmcentrumhAbeMtidemyrMlierum incidentia ^*^*^ 
ittitUeatdemrefieaendiUgesfervMtMinfe^entismMximis rnde!!!!lTL 
9mntA(fecuUcencAVA,qu*etmdem circubfigmenta funt,MuaUacem'"*('»' 
fentur,nenquidemquantitate,fedvirtute. Ettantefunt maiorajhe. 
cnlaex matort ctrculoexafa,JfecutU ex minori circulo exciCis,quanto 
Hametetcirculimaioris diametrumminorisexcedit ; ita ut JhecuUtmex 
f/rr*^ lo.Jolummodh gradm fuhtendeMe excifum, 
mMtxtnfittdumftt, auamjfeculumex (egmentaminoris circuUquot- 
eMepidttsfubtendenteexcifum. SeddehacreinfiameUusazetur 
fifimfar.t,^nfineSyntagmatisi.caf.x^ ^ 

P R A G M A T I A III» 
^cula convexa ex vttro aut cryftaUo efficere. 
K^piia vitrca ex yi jropuro.& fine vcficuUs.qaantum ficripo. ifnuta 

-S^i? eamprojiciatur ipiftura Iia:c liquida, fciIicetcxand-'*»^'«*« 
w»tto«cpIumbo,fed antimonium bis aut terlique&dum Ct & ^^* '"^ 
iltnMiWMiii , & irftus colophooiara projicia». Sic roifturam'in 

Whrendo,quo<lfupcreft/ora5projicito. Ica forta\So.n, 
tlVatur.cap.zz. ' 

i/#«<Iib.4.MagiarNatur.pri^scditKcap.»8iiuncprar. 
HJom. Jngensformatov4sevitrorotundumuUinfiar,uH 
mfmtactbmfiertJoUnt,&ignecandensin ventre perfore^ 
f^ftrumento, vel aUttscoUtquato jam vitrovas tangat, ^ 
fmgatmr munereiin locum ittum rumfitur inflatum,fora^ 

'''''fSS^ff^f^transferas.faribHsponderi^ 
ttmm^elimattsundt^operator per JfatioUm revolvat .fermovens 
m^ctrctmhtutnfuertt concavum omne ,eodemforamine fuper^ 

«^O^^^futmficetiftcUtctda &terminatahabebitpc»U. Ita Por- 

ta,vcr. 



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26<$t FJirtis l. Lifeer VL 

»^ vei^sad'modunaK>bfcuris atque corrupds librarit 

B. i^thdnafif$s Kirchtrm jubet accipi marchafita^ wdm 
nqam; ftanni quo £brruminare lbrent,taatundemiargeDtivifi 
duaspartes.. Haeclique£ada£unduntur in aqpam £rigidafn,& 
totum percobndum imponitur lint6o.mundo:ie3cpnmiturque 
fiiccus. Hic fpha:ra9 vitireac» c^x nullum adhuc ufum (obient. 
infu(us,agitatU5que,eam mox in fpecuium terminabitx Hacartc* 
meminimeipfumaliquandoconyexumeffeci^efpecttlum. 

Secnientem modum /oggeicit P.mukhior Cor^utm Sacr<^ 
£Smda:Tneologix in hac noftraHerbipolenfi Univef^utePro* 
&fIor,6c Operis pra^fentis Cenfar) eoque ufus eft ipfemet QOQlb- 
mel in (|?eculisconficiendis,quorumaIiquaadhuc apudfereti» 
net. Rec. unciamphimbi > c^li^ua., Lujuato plumh imyce vndm 
Ofnamftanni. Thm adde vnciam exminerali ifuod Xiermani ^HMI» 
mnt^lGaUi eflain de glace vocanSi Laiini marchafitMH. Deii^ 
vpcias LMercurif infunie^& totumhoc ftatim in frigtdam fraciptM 
Referiesautemm fundo Hmhtmateriam-inftarbutirirecentijpminii^ 
lem : ^uamsibifefetitJiUfttdpurdhtioneemundaverUyper 
Undoexfrime\tfmdliutem exfrejJerHjfhdrd vitredinijcei &it^ 
Uterihtu amnihm vitriadhareaty &crufiuUm obd$lcat-y circumvil^ 
Siauidautem faferefi^fimdcye^t^incuatUo chartaceo inaUamvi^ 
aJfervartUcepit. 

ANNO^ ATI.O CATHOL IC 

I4 XdiiiiscolRgituriquaratidne aUarumf^rmarumvitreaJeutt^^ 
$f€0mia ^UnafpecuUjmtterminanda. AfeUus tamen eritye^aexfila^M'1^ 
^^^^^^exmixturason^ereiidequantoxdkam^ . 
•*^^> . P R A G M A 1 \ k W: 

*^ . Qul(CijPuram pfo jftculis mtal^ 

ex ea^omms gfnerie Jpe-- 
cmU conftcm. 

mWm?/a^S^^^^ qaarex itrifti^rarequentt cooficiunttir > metaffioiT»* 
•I. c^fi€tn.r<^twki^iOftsidsipm qii6d metallicaiint ,(ed qo&cl iisfi^ 

iniilin& 



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Magia Catoptrica. 26j 

mSliiaa* Miftoram ymi) ^ariiprasparanriex^oibusYequeittes 
f efcram mo4os« 

P^t4 lib.i7.MagiaB Nattir.cip i^rtapratcipiteampraipara* 

m4s ferdifret, reficc4ri curAto, idque tis, tervi r^potse. Jmi 4ffone^ 
^me4 binMt4rt4ril^r4lPiuef4nty(^toudem4trJenici cryft^llini iukt 
frm4recon^icusyinfceMrjuquiniju4gint4^ru4nti^^ 4Ujuevfi$4t^ 
tfUii&fifttes^ velfixies Isquefi^t^utfMrgeturydefAceturg^ vmox4dde$ 
^Mtiquincjueiibr^tsfi^nni Anglici^ &^nsuLliquefi4ntfiUi4ris \f4u^ 
i£mMX miflur4extr4hes ferr^mento^Uquo^&txferimentum csfies 
^0^^dis > veldupu fit :fifr4ngihilu , 4S4dde \ fidur^ ^JUnnum : vei 
40f^^o ^ui 4litiuMjl4nnif4rsev4nefi4t. Cum^d oft4tu^ temfe^ 
ymmtum fervenerit^froijcttofiifri binds umuts bor^cu, &finitp aui 
s^^^fmum filvtuur. Deinde in tffum froijcito^ & rqrigejcere 
pmm, trigef^Bum fumioe4dfric4bu > moxGnirifulvere\ vbi ferfe^ 
.^^pMfrifw 4d4qu4a4m&ferfoUt4mconffexeru;trif0U4dfricAiik 
f^^U0fi4nno 4fSonitortm drlumeninduces. PJeri^tertismJt^t^ 
»if4ttem4dduntjariiVtduriorm4jf4f4t^C^m4jorem fer(ficuit4tem 
f(cijmu Hxc Pprta locxic. 

^bmf^/4lib« 4. Magiac Natur.prius edita: cap.i9«ita prsed- 
pittien %^culorum mifturam^ Mixtur4 qu4 inj^uiorum effor^ 
mjtieme vsimur^it^feri c^mmuniser ^bomnibusejficitur. Ascum 
ft0m»rifUMrt4ri fuuliim^^^rfenicum^ vtflu4$, &infim§dinC'Orfo^ 
rcnml K^Wcum ^enno 4Tittriflumy& fHbijt4ntillum^4rgentum^ 
vcljgjSlfm 4&mm Adjtmgtmt. yjtlu ex flumbo cum urgenti duflo t 
tBifjl^SnturmeteUis. SedubiintejUuumvds^igmcontum4xfuerit 
^{^mtyfosimmittuut. Sic e^iUiter JpecuU temftt4ntur\Jedho- 
wwoemm^efuffici4t. ItmffeculorumctnftruSUonesrttulimus^nurse 
^Vat^Ji^elfe video^ vt foftquam confi4;4.&c:onfiru£f4fuerint, 
UviffftMru^ frdfoh^ntur^vt exeo refiliens r^dius fimuUcrum redun^ 
^'^^^^^'^^^^^^^^ JP^^^^^ » muUumg^ Uvor^ & fMrtiumconcinni- 
tatr^H^ ^vtroUveminimyfuerityJanditurfimuUcrumy&uthinc 
m4iet[34ehmi$f4re4tfigur4y& diverjk. ^ude^utemfoftqudmfuerit 
^^lmfoUucomm9detmubi4rm4 

XJi * t4tem^ 



2<JS Partif L Lib. Vf, 

tdtem^dr dfUdHtdfem redMCMtitramnhim. Sicottcrvttm velconvexum 
polies, n} rotd motus f^eculum frdngat , lignum dolabis.dtad fpeculifer'^ 
mam reduceSie^ ficeglutinahk^ ne moveatur. Indefmirijuhtiltterin- 
fraSiotfatmOyVeicoriovalde ferfricahis:indepumiceinpollinemreiu 
{ta( facileenim pulverafcit) ritePumicahU, vtaccommodetttti drUvo^ 
rem inducat. Vel uhi fixum adhdcreat tahuia fiannicalx , tripoU im. 
mittaturyd^ extricetur in extrema autem poUtura tartarofitltginefi* 
licis veljuniperictnerihus utipottris .eirmaxime prttnitehit. Smiri 
dutem fttpTdpdrdtur^ Optimt^s qudrdtur, c^comttresy efr per pannum 
incerneSya^ud mttdeat. n sec t b i. 

CdrdantisWh.l l^eVariet.rerdmcap.^^.bafchabct Sfe(%U 
chdfyhed wedttttfitint exdrU pdrtihtts trthtis^fianniefr drgentifmte 
nna^antimoti^dectmdoBavdparte. AliQui,imo pliircs, argetttBm 
cofflpendii causa rehnquunt : alii fafccm parccm vigefitn^ 
quartam^admHceDt>atrefercr/^^j/fi^r^T^iiW Mufei 
taUictcap.4 infine/ Suntquiexftannilihra,dristriente,eotti(ium 
jdm^dctdrtdrivncidy dttripigmenti albifcmuncia ddditisydcdonec fih 
pmmemittdtttfuperprunasdecoSiisMminas confcidnt. Detu^exct^ 
ptum metdllum Uquatum denuo tdhuia adreffitirdinem formaltSyah 
fdHis.&fumo Idcrymd laricisftccatis.efr vitiseittereldvigdtkjn^^ 
Ufigwtdm deducuntrpoH dijuddrdrend tdhuld^^tinedttne^lbtmlaii^ 
gdnt,iftdefmerigU$^dui:pumicelevt^urtioftdnnt€dtce\ Har^ Cttcfa- 
nc» ^& ex ipfo Kircherta , cfr DdttieiSchfuventertifi m fiws |}^*s 
PEy Hco Mathemat. pr. 6.^37. 

ZeondrdtisFlordVdntii^SLjsQdChtiff. Hkrfi^orJ^umTo.i.D^ 
IkfaromMatbem,par.^.q.ij.jubctaccipitresquartesftanniAn. 
grrcanr optimfy8t unamqu«irtam artls rcpurgati , caquecoHiaoa^ 
ri: Deihaetartari cakinattuncias quatuor^antimoaficryft^M ^ 
cmcias fex ^antimonn fublimati unctas doasf , oreicommunisuii- 
cias quatuor>nnarchafitac uncras tres^ H^cornniaralfceDtor» 
Sc proiingulis metallorum prxdidorumlibrisaccipicmiiacmK 
ciardoas^y atque e vaporari ac purificari permittuntur,add!cbpi^ j 
cisgrarc^pauxiIIo> c}u^ubrcon(umptafuerint>>iB&iidlli^^ 
cenafpeccwnmifbrniispr»^ ^ 

ScaBfft 



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Magia Catoptrica. 269 

lerExercitSi.feA.yhsecfcribitdc /pecularummifliu^ 
n^ficfote habet^ CaJpterivnciasnovemjAristres Fufisat^ 
f admfienturfdcu vinificcd vncia vna,ar{enici aHfiJmMtuidi 
n£mittenda ,quoad effumenty Jnalveolum ex top^aui eo 
tm vulgm columbinum^catitaheRkimfofitattSlnm fnt$d$mt. 
r afierculos atveatos , cfuosafberwntviticeu cintribtucottdet^a^ 
pscineresindu£Iosfiaantfifipmoyautfuliginerefindabiegmt^ 
it^achmty atque fw excipiunt fufam maffam. FwigefalUm la^ 
\affefi adglutinant pict. Inde mim^r^fiml aremtU , & mnoU^ 
nfrocurant. ^ua inoperacjusquaverfum mutart^acv^rter^' 
r agitationemi cautio eflt ntfUnicierepmtdamtpiafivenarum 
tta€qufrat,quibus^auttonga^ttutUtared(Uturfpecies;,quodevi^ 
\tantumduBufiatttkatio. Siquifulci failrfuermt atate^ 
' uiiafridiane j quipfe finiridis temiijfima fcobe^ t^utafperfi- 
ck futvere. f^remht gleba trtfoUtann,4mt caffitet^ (thf^ 
f-voxejtjtjdcinate^ quodoptimum omnikm efi^iti^kndorem 

Mtkbior Cornausydc(\yto\^zu\b^mhmcrmQnetSi feci^ie^ 
modum mihi communica vi c; Recifci o.fartesa^i^tf^ 
iaHqusm Vhiliquatumfueritci^mmr^fartafiamni* 
\ftqcfta. TiftmfaMxiiUm^antimoniut^fit&t 
'oeittofmatei^amsgitato^ ^feftnifieto^quamMnfumtie^ 
^^fttres^iiuantumfotesjmnmn^ De^ 
^ Um ante faratuminfunditOm Ham:egf mixturamfre^ 
yiffimam referi^ 

PRAGMATIA \r. 

metalUca. eiuamrnrou f^m^ ' 
e^cevev 

niodis paaraan t^iefcripm mUBura effidesipe^ j^^i^^ 
mvis fbrmarum^platKi videliceti rphasrica> cylia- mtsBM 
^yramidalia , dlyp tica > hypecbolicaiy pairabolicai ^^"^ 
ava^^qu^coovexa^ & conYenieocesi p/ius prac-^r^' 
LL 5, paraveri& 




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270 Partii 1. Libcr VI. 

paraverfsex ai^illdt aliav^ materia modalos > utdici folet /oetm- 

lainosacmafcuiiDoSiiisqueliquefMftam infiKleris materiain /2c 

reficcatam poli veris ut didum. 
M^duUs QP^ porro. rationc prarparandi fint moduli pro Ipcculis 
frp fiteuik planisjcylindricisiconkris , pyramidalibus , quilibet raciLb tntelk' 

gercpoceft. Diflicultas non parvaciliniis»quielliptica>|>ara- 
^pnpeire, g^jj^^ ^ hypccbokca cxcipcrc dcbcdt fpccnla ,qu« praccipuo- 

nsm & maxtgic mirabilium pbafmatum in Catoptrici^ funt cau- 

fa> uti in fcqucntibus vidcbimus. £os crgo ci^mandi praxei 

(ubncdo. 

meiuim ^ cfformandum V. g* modulum profpccu!odlypticoȣc 
-prefieeuh ptoccdcs. Supra a^ncam > ligncamv^ ,autaltcrius matcria: u- 
Miftiee. bulanuiefccibc ellipdn^cuius maior minorquedianvctcr iiteius 
quantitatis,cuiuse(iedcfidcras diametros ipfiusfpcculik&quid- 
j T quidcxtralincamellipticam cft ,cxfcindc,utmancat /olumpla- 
^^^^ 0um cUipticum am^ lima cirxiumdr^pcrpolitum, ac laeviga- 
^um. Huic plano ciliptico a b affigatur axis c d, habens 
manubnum ce. Figanturdeindcalicubidtiofbicra, af, 6c 
fi<^ ; quibusfupcrponaturaxis cum plano eUiptico,uJt ap t^ cir- 
cumdud poiffit» lofra plafiumtiiuraqijc fulcraigyp(um,argillai«i 
palcatum iutumj aliamvc fimilcm matcriam accommoda, & 
^Kcm cum plano (uo ctfcumducito , doa^;^ matcria fublbata 
concavannt tbrmam» cHiptici plaoi pcriplieria^ cxadifiime con- 
^ grucntcm» rccipiat ; tL iubeois modulum dlipticum foemiai- 
num. 

HuQcricficcariad ignls, fcu mavis folis calorcm finito} fbpri 
docrcm (pargrto , & pro mafculino modulo effbrmafKlo lutudi 
:aliud fuppnndiioko convcnicntisipiffitudinis^ &l cxficcaixjm fi* 
milkcrtollitoi^habebismodulummafculinum. Hosduosma* 
^iuios ka uni intcr fcicoundum concavam iiniiis & convexam 
:altcrius (upci:ficicm,ut intcruttramque tantumipacium vactmm 
intcrccdat,quantum fpeculi fpiflkudiniconvenicns judtcavd»^ 
tttramqucfic unitam fcpeti, ore apcrt o fnpra rdido^ & akgiH* 
(bus fpiranientis^quibus aSr cs^aiare poi&t Miiihirara dciQdciu- 

pri 



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MagraCatoptrica. 27i 

prapfiparataminfunde, & refrigefcetefinc, acdemumexpdi 
adxviga modo dido tn PragfDatiaprccedente. 

Siniiliprorfusrationc procedes inefficicndis fpeculis para- 
boJicis, & fiyperboKcis , imo & in fphasrlcisjcyliodricis , conicis, u»M»r 
ariisque omnibus. Ut frpro parabolicolpeculo prxparandus fitJ^^^J, 
modulus.dercribc in tabeHa xnea,autIigneaptrabolam a b c i>%,aki§n>. • 
tefcca omnia qu« funt extra linearo a b c, applicaaxeroBD curo w. 
manubtio d e^ quiaxi parabolae refpondeat,fi^alicubiacu- 
Icum B, manubrioffl ver6 de ad^partes d affige fulcro, utV^ide Figr 
axis BD fcmpcreodemmGdoercAusmaneat,&>ncircuradu-x.IconiC 

dionc iprimo fitu non diroovcaiuf . His fadis» adgere circum ^»'^* 
&rmamparaboJicaro gVpfura^ aut luturo , & cjrcumduceam 
maDubrio apprchenfanr, donec luto convenicns &rmairopri.> 
matur. Inrcliquisprocedbutdit^umant^. 

PARS SECONDA, 

De variis varioriim fpeculoruirfe 

affbft {onibus, mirisque fpedaculis eo^ 

rum ope exhibendis. 

FROOEMIUM. 

EX^licattL 'Vrdufiom fiemutit frscedeate Proprietatihi^^ 
nottnuUiSiqua omnibus ^ecidiscmmunes Jutttjifiipimus' 
wnceat exfHcattdas^ qua fittguUs ^eculorum generihusftecu- 
iares ^t: ^ts ad^ungemw mira aque ac jucuhda^eilacu-' • 
\iMfotius miractda CatofOricaiqua^eculorum offitxhi^i^ 
mntajcumrv0luftate,necmittoricertitudtnequeuttt'iad4>cu- 
njiottjniiniiMBtmdos, quam exercendum ittgeniumi vtfic- 

dmri^e^ 



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272 Partisl. Lib. VI 

Difcrimen them^n^QMleat froxis ^ ^quod geomtricis eviSlmefide^ 
^^^^^^^^^mon^^ expertmento. E£l ^uiffi 

M^i^a i^i^riW^^/fr^^^^ciW^/Zr^/w^f/t?^ dtjctflinoiy ^ Catoftricen 
ticM AiSA-JsJcrimen^ ^Hod tUarum demonjirattones irrejragabiles linetSy 
fUtM. ,huif0s reifja opereok oculos fonantur ; ^t mertto dixertt 
Forta , €afoptrica experimenta renidere inter Geometrica , trh 
geniojttate^mir/tbilitate ^njtUitateque^ (atoptrtca pltaintiu 
tn recejju habent abjconditum , quam prtmo in adttu promit^ 
tunti (s^ JireSieopereris^plmpraJiare poterisquam promtttoi. 
I/tc non materia , Jedforma quarttur j^eculorum^ a qua tamen 
Jt aberras , ticet quajtto Jrauderts eJfiSiu , non tamen omnt fraih 
Jarisit^ tanto Jape inexJ^eUattor ac mirabiltor is ejl^ quo magn 
d quajitaaberrasftrma. Sedomifjis hijce parergis^adrem ipjan 
'^eniamui. 

S YNT AGMA. 

De Jjfeculis fianis. 

A D duo capita revocabo orania, qua^deplanis fpeculis didu- 
^ rus fum. Priroum varias eorum Proprictates, alterum divcr- 
fos efitiSus eorundem ope exhibendos continebit. 

C A P U T I. 

'Df Specutorum flamrttm frofrietdtihHSy 

^iaZnm A Plaois ioclpimus fpecuKs , qooniam eorum proprictitcsut 
^Untrum. ^ notiores font, ita miniis videntur operofae , & viam ftefQUOi 
feqaeatibus. Perfe^i autetn pUna oporeetefle fpecula «otcoo- 
venMnc i jsiubfeqttentes Pf oprietates : & enim afpera fint» ^if»- 
qoalia. flaagulofa» lacuiiora>deforroia ; pr«terauimqu<&diq^ 
ac deFormia reprasfentantvinji fpe^ra, m^nime ijs coDveueot 
quac dcplanis demonftrare aggredimur. 



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Magia Catoptrica. 27) 
I^ROPOSJTIO I. PROPRJETAS I. 

2^<j/y eiufdem punBi radiantU afianis ^ecuiis rejle- 
xi, nequefiAraUcitfrnt^ fteque €oavar^M » fid 
^drper^nus. 

UStQ fpeculum pUnum a b, pun^um radians c,. radij ieci* Vide Ft^ 
^dences cb,ce» radijreflexi d€,eg. Dico»hosnequepa*xi.lcaiMC 
ralleloseffeyneque concurrere, feddivergere. Quoniamenim^tv* 
angulus c D A maior efl angulo c e a fen 4.fri. &<ai\gulus f d E 
zqualisangulo CDA,fer{. Pr^Zi^/^/if lieritetiamangulus fd« 
maibrangulo CEKt ferX.i^xio.pri., Eftautem geb angui» 
xqualisangulo cea, ferl.ProlufiiergoSc. fdi anoilusma- 
jor erit angulo c e b, Per l. K^xia.pri. ac proinde radij reflexi 
o F, B G, oon fuot paraucii »fercontr*r. i8»/f>. Dequeco n v c gc il» 
tc&ifercontrAr.vndtc.OfMt.fri. ergo diyergentes. 

PROPPSITIO II. PROPRIETAS II. 

Specula plana facimt radios refiexos diverforum 
fun^orum etufdemgeneris , cniiu ejpnt, firadfj illifutjfim 
continuattifdrateUsfiMrdSeUfuiflentiConcAy^^^^ 
tes^coticurriffen^^.reudeme^Ji 
- teseffifftnt. 



pStofpccuIumplamim ab, pundaradiantia h.g. radij in-vide 
-^cidcntes bc,g d, parafldli Interfe} quificontinuarcnturul.xirico?* 



tra punaa c & d, paralleli nuncrcnt,^r34. Definit.fri. radijnif. 
verdrcnexifiiit cf,*H. Dioo,hosctiamparallelosefle. Quo- 
Jliamcoimreaa: bc. gd, ^ araUdoBfiioc, ericangulus bca «. 
^uaIisangu]oGDc,/frrMv«r/rx8./ri.fedaQgulus fcd xqualis 
-eftaDiBte BCA.8cansulos hdb acqualisangulo gdc,/«-I^ 
JV#A^».ergoacqua]isdfcangoIus hdb angulo FCD,/rrl.c//- 
4i»m.eKgoparaUci«iuntreftae fc,hd, ^/-18.^. 

M|M ^ Sint 



X1V« 



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Xj:4. ' P«t« I. Libcr VH 

StnticeruinpunAaradiantia e & i, radtjmddcotefJCi id^ 
convrrgentes ad partes b dci , & divergentesadpartts e & d*. 

3ui(i continuacentur in dtredum ultra punda c & n, manertDc 
ivergences^ex naturalinearum re&arum s radij vcroreflcxi^nt 
6F«DK. Di€o,8chas<iivergentesefle. Pi^acanttireBiinredx 
BC>*KD, ulcra punda c & verfos l & m. Quoniam igicuc 
redac sc, i convergentes funt adpartes. ^ & '» & divergeo. 
ces ad paites c & j>\ erunt anguli e c o. r d c> . minores duobQ5 
redis ^ferconverfvndicAxiomu prL fedetiam anguli lc d, m d c, 
flsjitminoresduobusTedis: nam angulus lcd eft stqualis^a- 
guld BCD« drangulus mdc cft^qqalisangulb LOCij^e^ri^;^ 
dr peri^Axie.fri. ergo,&c.^ Eodem modb probatur , iiriidijiod* 
dentes convergerent,con vergiprc dcxeflexos^ 

PHaPOSlTIO. IJJ. PROPRJ^TAS HI. 

Inommrefexionea j^eculis planufaifa , lineaim 

dentia^ reJkxionisfrofortionalesfintcutfkM^ funBiifa^ 

TMmternHmrurnd^rnifps^^' iffii^^ 

fiferficie^etiam frotraSiaJt ofHi fuerit^^ 

interieSiis., 

I^. CP6cuIbm(]t ABx. lineaincidentiae: <^i^> re0exfonislinea 
wn Jco- ^ catlliitijs incldcntTar c a , reflexloms bb, Quonlamjgmif' 
mCxiv. onguli ad a &'B re^i lunt^exfiipfofitionri &anguh ad o a^Saks* 
inter fe>/rr I.Pr^/ar/^i^z.erantietiamanguIi c &Ea:qualb»p 
yL fri. ifquiangulaergofuntduotriangula? CAD>BBDiat{i» 
inde latera circa ^equales angul6s proportionaliafunt^/^^t^' 
Patetcrgopropofitum; 

PROPOSITia IV; PfcOPRIETAS IV: 
Eadem tji Mftantia lDci ima^nis a fitp^erficie fiecd 
flani f^h ^ecuk ^ qtM eflfsmUi ruifi^akeademfifjerfeie: 
VideFig. fikpra^eculHm fUntsmexifieMiir. 

^ivjcc^' CPecuhjmfit.A>B, punAum vffiim D,radiansjD c, radlasis^ 
tiLxLT^ ^cidentia^ D c; cathetusincidentia:.in6ra fpeculum produdo» 



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ra<liil«ftflexionis inf^aeeTam fpeculum ptx^bb^l^ licr^ 
Erit laqtte/*r Pr^Uif.u 4i>ctw imaginis punifti vifi tn fcflicec 
jneoiiicaiib nsrai) reflexi prodo^ curacacheco fhddentiai pro- 
dodo. Dtco>diftantiam a i* efle iequalemdiftancia; ad. Quo- 
ntam eiymanguU ad a tc^\f\satexpff0j^U angdi adca;quale5, 
p C lf»b^.i..&i^,fru uci «t a*guh o & *, fer^i tri. erunc du* 
(liuigQlai D A c.f Ac, jequianguTft * acproinde ,/rr4. Stx. uc D a 
ji|-ACi ica FA ad h<.. Ergo,/ff p.j^W».© n, a P.-an^uaies fuoc. 

ANNOTATIO 

ttnm A rii^Atin^ecMkrnfUnHmferfen^ulipteryitAvtrW' 
, Jk&AtMrinfeiffumvvidetur^lne^mnAibmmm tanttmin' 
mj^mmdiflMs^Mittumfufral^ecMbmdiftatobieiiHm» quiM per 
Frapofic.4. Przluf. uvideturinconcurficAtheti&lineareflexionit 

• PROPOSITIO V. PROPRIETAS V. 
I^fttpt reffexianeaj^ecdu fianisfa^ajmeaaceth' 

0mntifitttut locHmmaginis produfla, xqitSUs efl kntit 
■ incidmtiit^ refUxionis Jimul 
jttn£{is. 

iNjinececknce figuracencrumyifusfic b. liaea iBcidenti« D^c, YvLr^ 
^i^ltefdlexiorus c «, linca cencro vifiw ad locum iroaginis,,,^ 1«? 
tcj^iljlco, hancefle«qualem lineis b c, & CDj^muI juoais,ni£xi*. 

D A.AC, acqualesfanc reais FA.AaBttaquc 
^ag^SUerfraced. & anguli ad a reAi , exfaffofit. X(\w\cs erunt 
cpjte^Pc.F c, fer^.fri. addicaergo communi a c, ericredas c* 
«quabtredis BC, cd, per Axio.fn. 

• »OPOS|TIO VI. PROPRIETAS 
^^^mdiaes frofundUates in flamfiecuh e- 

• -i n/erftw^arent. ' 
IjMBtt»-» <*lwdine$ & prohindicaccs qu* refpcaa /peculi viacKg 
^f w gi<ff» <ji<«pe«eaa;fupr«aucinfi:afpeculiplai«mi, eciam xr.ic<S; 

«Jfli MM t jpro»aiT> 



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226 Parti«,k tiher VI. 

oculus^ A« tfk(|jj^^d«DCtae j^^/t^&ii^n^ f 6c b. rci^ftCi f P>-Ta'( 
dij.ref!eiUopis ^ a.o a. Dica » Di>}f^«iii £ ¥ appM«ir(s io rp«culo| 
eTeritini* PcocmoaKurentin-ioidirf duni redU q p, verfus- >, 6ci 
deniiccaturin ipfaiTi|»erpeodici4riH$ FfiaoH. oemp«ti»Kl>etu4 
ptioAorunvF^j^ pr<>trabaiMiMr f^di} reHexioa^ ac> ad. iiu 
9>& H. . QaQOUM^igUufi^uiiidiini f. apparet ia h> & puadwn d 
in G, /rr 4* Pr/fliffi,. aucem in prMnA Pigr g (npixi Hi fi^ in Tej 
cuadaFig. h fupra aiapparebitnece0ari6obiedumeverftvn. ^ 

PROPOSITIO VII. PROPRIETAS VIL ' 

. njtniffa.funt. 

Vide Fig. C It D E fpect)lum planum > b^^ la^gitudo p^vallela fpeculo > a | 
xvu Ico- ^oculifs, Bt), c E radij iucidlcnn», d a, £ a radij ceflexionis. Di» 
«iCxiv. ea,laiigiMidiliem b^c apparerernfpcculouceftinreipia. Protra* 
hatureniovrcifta D fi io h> k.denttaafmirperpendiciftaiC5^0HF, 
c OG> producanturc|ueredx a d, a £j,in f& g. QuoBianoigitur 
oculus A, pUndum radians C>fic pundum rcflextonisfeuioci* 
dentias e> ac proinde puniflum funt iDeodempbno>^fr4.£[)f- 
piHkffQtb^f!lK ftem^oculus A>pundum Stpundao ac F>ineo« 
^mj^mo^fir^dfHkmHjpnfth. eflquelocu&pundi ^ in r &tbcus 
pimm c iii G,/rr 4. Frdlnfi. funtque c & g ad^eaodem par. 
iem>uȣS b ao f adeandem > imagaobiei^L noneritevcrfai. 
fedapparcAstiMiteil. 

PROPOSITIO Via PROPRIETAS VIIL 

Jn fpei^h^4Tns:d6xlta.afpartntfi^^ 

dtxtra: ima^affaMraqMJis vci^vtfr. 

Yvit Fig. C Intomnia ut in praceedenti Fijura. Dico > dexteram partfm 
jm.ko- ^ B>qu«elldextra.v. g, aurisio/piciemisfpecitlafti^i^^^^ 

oiftrami&imaginemi^c efleaK}iialemotm^oB€^QttOBnBe- 

oim 



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Magta Caftoptrica. %n 

i)tm,iintgo poo^4 eft in f> & pundi c in $i b extra /pecii- 
lomeflparsdexcra, c ver6iiniftra,erit ^ Ibcra rpeculumfiDiilra, 
cdexcca. Quoniamprxcereare6ae bf, cg, (iinc parialtetaBtocef 
f^u^teperpendicularesad h d E,&,/^r frMed^SrofoJit^^vxx^ 
qualfSienuic&BCFG. xqualey^3^/r/, . . 

fM^mVO IX. PROPWETAS. 1%' 
S^tBdom ^ecfdo ptano Mafhano repr^feniAtt^r 

lpecutum,quam alterd, 

^^ocuhis F.. puoduraincidenciae 6c reHejUonis in ruperficiexru. Ic». 
aoiSdi^G,iQ ibperficiepoiteriore c. QuoQiamigitui» iittago ni£xiv* 

3iapparec iQcoDcurluiineae» reflexionisciim cathetoinci- 
iprj^. FrMttpi.. erit Ibcus^imaginisreprxfeMCacaBfinere- 
le>ta f£ teprsftniatacvcrdMfoid^ in L PaMt«i>g|op8o- 

poliik.--'- 

r-vV AMNOTATIO I. 




IWipjijljM ilHtfumhufrpPofuione ftndet exJicfffduiutMagid- 
*JSS/^Si»^kfderefr4iiuMf6m*£emut. FideProfo^$.FUI.frmJ,. 

ANNOTATfO H 

tMximus Propofittoue IF. hmmcafitUtitt/eiigeuddfihn. 
Iv^ferrAdiosrefiexoinonrefraBos. • 

.■• ililLOPOSITIO X. PROPRIETAS X. 
^ mnk ^ecukflanpt refiexto f^mSorumnudforum^ 
pfkisUet obieBi^jit inter pm^a reflexio- 
w mumextremorum ^cttli.. 

P^%CttiIiB» A B c, objeaom d e p, • <»cAluk> Ci pttndum Vide Fwr 
«-MffHlin A, inde^refleaacurin. Oi;6cpun<JhiiiLElnxx.lc<S; 

MM 3. c,iii4xiT.. 



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Google 



^7« Partii 1. Lib. VI. 

indcquein g. l^o,pundam e» neceffari6rft^iare)a- 
ter A&cv.g.in b, incieqae reiledi in "q. 

Radietenim,(ifieripoce'ft,pundum e, extrapunfta ac, 
coen^ein u iineac ca procraiSx^indeqae reflcftatur in Ci 
«ericergoangulus ehi arqualis angulo i.h ferirbMimiki 
^ angtikis £Hi' oiaioreftangulo DAH> /^li^^A!^'* 8ccpiifequen. 
cerquimangulus gab ipfi dah «quali, peri.Axii.frimM' 
^o&angulus gma mator erit-qtikmangulus 6ab; quodcft 
impofiibifo,&cencrat^^rtmu £ademdemonftratk>fiewfidf- 
«cacurpundumradiareexcra c ad alteram parcem. 

TROPOSITIO XL PROPRIfiTAS Xt 

Terflura fiecula flana certo mo4o di^ofita 

reprdjeatarf poteB resyidem. 

Yil Fig.C^H objeifttim a, videodumaii oculo Br per tria /pcci& 
xijclco- ^Erigantur dubperpendicularicer fuperhorjzonccm,fn4incii 
sfliCxiv. g-m, 8c «iKt cercium v«r6inounibaoutriqoe.adangulo$rcw^os 
inlinea imk liorizonci paralleia. 

IDDcacur deinde rcAa a f, rcfla? g m perpendicdlam, 
fiacquc GF arqualis ipfi ga^ icem ducaturrcda ao, perpeo* 
dicularis redx hm, fiacque ho a^qualis ipfi hb. Prstttrea 
ducacurireifla fip, i^dt gm, paraUcla,.fiatque ip xqoalis 
ipfi iT. A pundo t adpundum 0| ducacur rc(^a P(w fe- 
« Kcansredam mn in d, &rcAam rh in ApuDdoB a4 
{>undum aliarcAa df ducatur,tecansrci%am mg ia & 
<Ionjungancurcandem a c, 8c b £, &ha(cpTodacacario 
fiacquc ,rL parallelarcda? j mk. Dico>objcdum a, 
weoculo B infpeculo hk, dcquidcm inpundo x. Quo* 
Jiiamenimredas ag,fg, aequalesfiinc&anguli ad q redil 
.^x/Arp/^^eruncduolatera ag, c c, duobuslaceribus Fis, gc 
arquaJia>ifcangi|liiis conccntl a»:|uales,ideoqu«i/irr5./fi ango* 
iu«^ CG| «qualisangub fcg: eft aucem & angiilus kjcm 



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MagM Gatoptrica. 279' 

2^Its acguldr F€G, pnr t^.f^i. ergo & aftgalo a cg» ferr, 
jtxio.jnri. objeAum crgo a, radians in c> refledecurin 
ferProfofLPrdb^i. &o€uioin d pofitoaDparcbitinpundoFj 
fnPr^of j^.Prdluf.i. iterum,quoniam reaa: if^ip, aequales 
iaQt,&anguItad 1 re<5bi;eraGrduolatera pi»id» duobusla^ 
teribus Fi, id> atqualia^&anguliinterealateracontentiarqua- 
Jes, ideoque/^r 5 ^manguFus idf» a^qualis eriranguto tDP % eft^ 
autem&angulus^ £dn angulo idp aKjuaHs» f^ij./^ry. crgo 
&angulo I DF, ferhAxio.fri. pundum igitur fj radians in d> 
rcflcactur in By ffrProfofi. Pr^lufi.iL^bocuio e vidcbitur 
iiipundo p,]p^r?r<^^4,Fr^//^2.Tandem,quoniamreda5 ho,. 
H B atqualcsrunt^ccanguliad H rcdi,^;cySy/»/^rcr^ 
tera, o h s a^alia duobus lateribus B h, h e> angulus b b h 
«qualls angulo 6 fi H; fer^.fri.t^zuttm Stangulus D b N acqua* 
Hs angulo o-e h, fer ly. fri. crgo & angulo b Efl, fer\. Axio.fri. 
Puoiaum crgo p, radiansin e, refledcturin B,^^r Profof\.Prdupy 
r.&aboculb * vrdebitur in pundo i^y fer Profof^, Prdlufi.. 
Q^uod^crat dcmonftrandum; 

. PROPOSITIO XM: PRaPRIETAS XIi: 

Vierifotifi , ^ eademKes f^edktHrfer quotUbet j^e'^ 

cuU fUoa.. . 

Crnimiram pro f$Mmero Jpeculorum conftitUAturfgur^flkna, folj^^ 
^nA,hdUmUter4drdi$gHUsdiju4Us, &numerum^ecMUrumduotm^^^ 
Idteriimexcedens. Sit resvidenda a, ab oculo conftituto in B.i^^*^'^ 
Ducaturrcda ab, & fupcr cadefcribaturfigurapolygpnarcw 

fularis, duobuslatcribus cxccdcnsnumcrum ipccularum ,.v. g,*'^* 
icpenta^onum ,proptcr trtafpecula ailiimptai & invcntocen- 
tro p, diicantttr rcilaj FA,FB*Fr,Tb,FC. Ad puodaC.rtB, con- 
ftituanturl|>ccula CG>GD,Hff qu«faciantcumrc<5isJCf,FD,FB, 
aDguIosrcAos Radfabitpundum a inpundum c> &indciDi 
n, lodcia £v indctandem in b oculum svidcbitqucoculus b,\ 
«bjfdum- JL^. ia rcda b e protrada. Ratio dcfiimltur c3k 

«q^alk* 



j 

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29q Partii I. Liber Vl 

xqualicace an^alotura iooideatMe &feflexiooisia poodis c>d, 
x> utex<fe&0K<li(3:ispacet 

PROPOSITIO XIII. f ROPRIETAS XIII. 

B-4<^ fpeeula fl^Jl forus amms fiMneMm weo- 

4em plano , vnius rei vnica imago afpa- 
TCt fx/t mttecLip <u*ro fint in irQtrfis 

t^Oceatiu>caUqui,qoiioaperit^puuacacdoceot,(emperru- 
£*nt»fiZ ^«scuWapparereinOIo tot eiusdem rei imagioes.qQot 
fr <v>iMrft£rultaiuatfpe«uUlra&i; qaodcamenoonnificumpnpdidali- 
fb$r«s im». (nitatiooe Yemm eft. Ratio eft«quia ia prirao cafii oon oilia 
SmM»». uno puodorpecttlifradipollunt refle&i radiiuniuspuodiradi- 

AOtis^d angulos sequales aogulis incidfcis : in lecunao Ter6 cafii 

exdiverfis punAis idfieripoceft, propcerdiTerfum ficum parti- 

um (peculijutiexdidlisconftac. 

ANNOTATIO. 

(^Td Jiximut hac rr»foftti»He deJ^ecuUtfUnis » inteMigeinU ttim 
^"KifiirtdeMUu^ctdki^mdomfiiimeit e/taemrttit. 

CAPUT II. 

2>r rerum exhHntione fer Jpecula flanM,^ 

A 'Ncequam de remm exhibitioneper fpecula planaagaAo^r;- 
' ^miccendaflinc nonnuIIaProblemattGacopcrica» qoxl^ 
maCuminftarerunc pro lublequeocibus Pragmaciis. iSh taintn 
Propofitionum numerum incerrurapere cogar» eadem 
terie 8c ha;c Problemaca, & fiiqaencea Pragnud» 
asatcexam^ucfequinir _ 

PXO. 



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Magia Gacoptrica. 281 
PROPOSITIO I. PROBLEMA 1. 
Dato bbie^o radiante in jpeculumy ^punSto inci- 
dentix ; ifrvenire loca m quibus foUs confiitHto octilo^ o^i- 
deri fojpt obieSltm. 
Cftfpeculumplanum ab^ pundlum radiaos c, pundumin-yide FSg. 
rddentue & coorequemerradiusincidentiac cb. Fiatan-i. lootMi! 
|M[i|pB;9. aequalisangulo c & gc ducaur rei%a b o indeter- 3cv« 
minata. IDico , oculum in omnibns 8c rolis lineas bd pun^is 
coQftitutum , Tj[dere |)oiIe obiedum c^ Katio patet ex didis , 
PraduCi. pracceaen^B } in Q^mnienim & folppunao iftiuslineas 
coi#iito ocutei' , arnguIosTeflexionis eft aequalis aogulo inci- 

COROLL ARIUM. 

uturhincj idcmpfwciumradians aJpecHhpUnondHrefleStiad * 
iem mjum^nifi a b vno fun6io tantum : quocunj^ enim alio fun^ 
U9,a\fmBodiplt^^affignato^v,g.fun6io fyfia c &i> duxerisdd 
i \inm rt&asj ed non conflituent vtrim^ angulos dquales , quiaangu^ 
' f CB^ maior efi anguh cfb, pcr i(>.pri.^rg^ C^4/rgw/Mf cbf 
uoreftAniub c^^» pct L Asdo. pvl angtdus autem dfg maior 
l — ^ j pgj, pj.j acproinde multo maior quam angtdm 

PROPOSITIO II..PROBLEMA IL 

tuo obiecio radiante , oculo^ adfignarein fpecuU 
flano fHnSium reflexionis. 
xulum plaoum fi t a pundum radians c, oculus e. loire-Vidc Fjg. 
ti.endum eft puodum io QiecuIo,4 quorefledatdrimago ob-"*Icon^ 
yfkiinoculum. Demittantur catheti ca^ &dividaturF* 
te^aAB in d pundoiic,utiit AoadDB, ficuteft Ac.adBE^ 
^.eritque i> pundumqua^tum^ Ducaoturreotmxeda: 
itduotriangula, c AD> EBA^uiaoguIa^/rrci^. Jrx. 
*iad D «qualesiergoAc. 

NN , CO- 





L 



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2$z Partis I. Lib. Vf^ 

^ COROLLARIUWw 
^OUi^urhinCfJifunBum d te^turjphit£hm c ccuk m de Knu 
^C0nltitutcf,minim}4ff4rerep0^ejqui^^ 
funSoiUoadcculumftreflexio^ 

PROPOSITIO III. PROBLEMA.11L 

lyato funBo refiexionu^ ^ oeulojocttm ima^inieoi- 

ieSiinin/iintrapUntm /^eculum mvenire. ^ 

CIcinprascedenci figurapunduinreflcxioDisD) oculus c ob« 
/^iedum vifum e. Dcmittaturpcrpendicularis ebf, &pro. 
ducacurre^a Cd u^ucadF^eric^ucrlocusimaginisiobiedif^ 
fer4.Prdfufu 

PROPOSITIO IV. PRAGMATIA l 

SfeculumplanumitafittMrty vt intHensnecfita^M 
obieUi^eculo exfofitK^ afi ^ifi , tmagtne ^isd, ^i- 
deatalterJttsreinanrvifsimaginem^ * 



Vl Ultis modisiTcri potcft > nec fine admiratione acdelcffati(^ 
-^nC) ut intuens auis fpccuhjm phnum ^nccfeipfumyidci^ 
Dcc obicdumfpecDfocxpofitum&afevifuin> fedaliudgiiu)^^ 
bct obiedum k fe non vifum. Aliquos indicaho liac&i^|h6a- 
tibusPropodtionibus. • ^»^' ^ 

Tkle Fi& Primd fitin cubiculaaliquapaviinentnm a b, 2c parl»aA 
»ii.Iconi£ Parieti affigatur ipcculum planum gh tali ratiooe^tt 

jy. per chordam h c attradlam vel rcmiiTanr poffit inclinari 

autmmte » gdangulum quemcunque c g h. £rige deindearaK 
bitamdiftantiam ^parierctabulam e f/& inter tabutiimacnit 
ram collocaobicdum aliquodin i, adt e, autK> quod ifpefiSi^*' 
tore A D vfderi non poflit , proptcr tabulam e f intcric^^ni; Ir^ 
liud ver6obiedum cdloca in f, autalibi> quodi fpedatore 
poffit videri > ficfimul radiarc in fpeculum. His fadis^pofitor 
datorcaliquoin Aycuiusoculusiitin autfupriiof]:av^i>> 



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MagiaCatoptrica. 283 

i«AC<ieprto« fpeculum cHper chordam hc, tamdHi, donec 
oecfeipfumtoecobiedum F,intueacurin fpecuIo,«]»iedum re- 
16 i.Tel F,vel intueacurmfpeculo^nempe in pundo l, vel m, 
tel N. HisedamfaAis,firma^ecuIum in Ucu illo, &habe> 
bis iu fitnatum» ut fpedacor a d incuens fpeculum , nec feipfum 
vkktatjoecobledum fpeculo expoimun,fed aliud obiedumil fe 
'IjfB. Tiium* 

i* ANNOTATIO. 

•ttdMs ET itsJiJ^fi/if,vt i^eifatfir ad nwksifdticcsfit' 
tfiJ^icsaJh Uterethieifum interi^fam ^ mHrmk B c. 

%AT10 PKAGMATl^, 



►Pragmatiastft>quiafpecQlunEi ca poteflitadiTpooi^dt 
lij&^cdatoris AD. &obiedi f, Incidentes in fpecu^ 
irefleftatituradoculum d, lcdvelfupra,velinfra}ra- 
BbicAi alteriusabfcondiri rcfledanturln d : namutra- 
Ientfxrefle(?tanturihocuIum»debentita inciderein /pe- 
^Dt angoius incidentia^ (it2equalrsanguloreflexionis,^rr 4» 
ft.ttdi; autem teflexi facientesahgulumjfeflexioois a:qua« 
Md^ykicidenrix, non cadunt /emper inoculumtfi certo 
itotS&kmm. Licet ver6geometric^exdi£lishadcQUsde* 
*^ 't{£>flit,quarationefituandumntfpecuIum,&adqua- 
Sminclmandum» datooculo^&obiedoabfconditoi 
Jieb experienti^ipsadidusntus inquiriturataueinye- 
^cameo videat Ledor evideoter, poffibile id eue^GmuU 
^ Wei fciat } fequentem demooftrationem appooerc 

^DEMONSTRATIO, 
Ivpavknenturti A b> paties perpendicukriter ere> Vtde Fig. 
f^c, /peciilum ch parietiinclioacumita, utfadatan-iv.lconiC 
\ii^QrC graduum v. g. jo,autquotcimqaelibuerit,fpe<£la- xy. 
(l£|CAi>, tabulaere^ Dticacurreda » c paral- 
i AB, 8(producatur reda gh vftrfiis l, fiatqtie dl 
NN > . pcr- 



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Partisl. Lib. Vi: 

perpendicularisre(5lf«'oL: itemrefHs tU, gj, perpendicolares 
eidemrtfftas GL/&paraIlelzrafta5 bt: FiantprJetereaanga* 
li KHF, KHF,afquaIei9ititer/e> & dut?atur re(?ta K.i rc£tx ho 

f>arallela}ittriiabguli d h f, ih f, & d g i, fci, fiantintorfllarqua- 
es. Vicp I. odfrhimin d confllitutum, non p6flc v44^e Infpc- 
culofbipftt^. Quoniam e^i^angulus blc redus^eflr^ ex (op- 
poHtione, eritangulus dhc, ( & quivls alius.quem radius ab o« 
culo D infpecuiuffi gh jdddeme6idt>obtufus,/'^f^.^«. 
acproinde,/^ri.^a.Pr^/i;/t.necradius dh> necquivisaliusu 
rpecuIumaD oculo d incidens> reAedeturadoculum> exciMV 
foloradlo dl, fiad l ufqueexcurreretrpeculum GH/9ir« 
z.necpundumF videriaboculo ^iDfpeculo. Namfipundmi 
F radiat in h, ^efleditur in ipfum fer i. Pr.c/^z>.qppfii^ujr> 
fupponitureflcperpendicularisfpcculo GH. SiYcroradiatir 
Hic G, angulus incidentiac erlt fcmper obtuCus^per i6.fri ideq 
rcflcxio nct verfus g b ad partes anguli obtufi , per CoroBK. P\ 
fit.uPrdkf.z* ^Dicp^. fiverctrocedatfpcdator 4i> verfus 
acccdatyerfus F,nuIlihiYidcbitfe,autpun<aum f infpec^al^ 
inipfo pundo f conftitutpocuIo,ubividebitfeip/umocuIbsJ 
Pr^/^^^Pr^/M/Ti. Katiocx^ D/f^4. Confticutus 

lusinNivMcbitobiciStum ^inp^^ Hfpeculi^quia tunca 
liincidcnti^e&reQexionis a^qualeserunt, ex Ji^pjffipnt^^ 
cobftitutusbcuIujinquocunquepuncaointcrD & 
dereinpunilo h obiecflum k conftiai^i^m m alioatd 
(ftoMneaeif^jquiaficutobicAo ^ acccdenteab i Ycrm 
lusincidentias in pundum h fit^en^perminor» itaac ^ 
culoa D verfus f, angulus reflexionis^fit femperminor, 
indefemper inlinpa d,f> & in linea^;,a/Cgnari pofluntpi 
In quibus conflituto Oihilo & obie Ab, ahgulusinddentisti 
quaIisangul6reffckti(Als,id|)un^u Ifemco: 
tus oculusfuccefnV^ m linca i>F.videblt fucceffivl totam i 
Ki In/peculo,cjur4'/)mo. Propef.Prdluf.L omniapunftarn 
dia linea? i^f*radiantin fpeculuminterpundaextremijf H 
ergo fuperreftani kl poriaturtabuIafpecuIo|5araIleItf, & _^ 
tabulam pingatur autitatuatnr obiedum quodcanqueiVKiSii 

tur 





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Magia Catoptrica. 28; 

tur icmpfraliquid in fpcculo ab oculo ini>^ cooftituto, fi oculus 
a^.f^rius F moveatuncotumautemvidebiturinaliisatqueaiiis 
puo^isfpeculii feipfumautem nonvidebitinfpeculo» ficut nec 
obiedumF. ^ 

PROPOSITIO V. PRAGMATIA II; 

MMhinam Qttoptricam confiruerc , in qua hamo 
'^^feeHlum planum intuens '^'tdeat ^ubimi^ni ^ hvis, 
accifitris^aut cuiufcunque animalis. 

T ^tPragtAatiaeft CorolIariamprKccdcntis jeawHjpetraditJ^»^^^ 
MPi4thariafius Kircheruskb. 10. Luds & UmLpar.^.cap. 6. J^lamw^ 
llifftimm vero ab eodem conl^dam vidiilt»Mis*m eiais Mu*>^#/iVi». 

it itaque rota odogona abci> (autu^iiKrtUbct-Angirio-.Vide Fig. . 
rplaoorum in circuitu ')qnasio ettmitu tutmnMn, ba- v. Ico- 
laita tantarmagnirudinis;ac^«Bdxytoi£>i»m anima»^* * 
I &yultus depingi diftin€ii6&cctfikm0d^pdifin.t Jq^ 
ipi/ceplanis depingantursdfYerforum anim&litiiii ca- 
collo.vel etiam buftaaimexaJbiaso rotaiacltid^ur 
GHiKLM, qiia:fitQmlk]Qeclaufa,rdi6U>:lipIofo* 
in operculo^6aMasca|^ttatis>utpidurainqpi^ 
e feu planodepida radtarepoflit in fufpenkimfu* 
I /peculum. Habeat prasterea rota matiubrium ^ 
quod extra ciftas latus proniinpatiU t eo apprehen» • 
ci rota facilepofiit^Sc quaslibueritpidura, foramini • 
e|ti. £ regione ci(te 5,ubt rl> aut fupraipfius cfllae : 
\s obi > erigatur^bulajrfiqua plana l m f q> . 
iiflttiitefitforamen cui infertafit trochleasdc» - 
^,ubr T V, fintvertebrariquibus innescumfitfpe- - 
;%lr-t; asTLz inquem-- 

\ «OHs^elevari acdeprimlpoflit > chorda^Yer6,^ahic6 > 
ltt£m(pecuIi,aIIigaricIayo 2, fepoftico ciftaslaterc ^ 
Hi5 peradis^coUoca ciftam in conclaviaiiqup ita» 

NN 3 utlux . • 




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286 PartJs L Libcr VI. 

utluxpcrFcDcftrani x illaprafpcculumilluthinct^Indequere. 
ficxa iotra forMMcn i m n o ciftx lcfc iniinuct ,rotamqiie illQ- 
minct. Dcindc (lans antc ciftanijquacrc ccrtum ac dcccrmiDa- 
tumiocumyTg. ay, cxquorotamcifta:incIu(ammiDtm^T^ 
dcrc poAis^cumque ooca. Tum ad cilbe Jatus j cl ^ ftaosi vcr- 
* teToummanubrio ep extralatuspromiQcntcutunumejoUa» 
tusdcpidum, foramcn lMno re(picf at j Ipcculum vcr^ p« 
attra^amautrcmiffamchordam zlths tamdiuclcTa^ac^ 
primcidonccdcpidum rota^latus radict in fpcculnm, mdeqee 
jreflcdaturycrfuslocum ay anteciftampriusnotatum. Po^ 
enini hoc fieri,patct ex prxcedcnti Pragmatia. Huncigi«uti 
tumficf ota?9&ipccQli,iiou»fa<%o figno aliquoio chordapropt 
utfeiasciuantumeamattrahcrcautrcmitteredebcas. Sijam 
ipcdatori allcuiCatoptdcafli mctamorphofin exhibcrc vi$,jubt 
cum ftare immotuminloco a y, tu vcro ftans aote cifta^latvl 
jK<.y occ^it^apprciliende unamaQumanubriumrotart&fot»^ 
mini obvettepiautam qaam volucris ; akera verdinamiappre* 
'bcndechordamyScadiiiveotttra antcaiitum accoiiimodau>ec(K 
Itim f yidebitque fpcdatorctfiuicy.g.afinioumJiumano coUDioK 

8ofitum,fuum verocaputnriaifne vidcbit|& (i catopcricumtsy* 
erffinei€iat,exiftimaDit (eftibafinino capite In (pccuIdrqMh 
feiK^ri. Eadem artc pidhirasalias m aliis r ota: latertjrase^pttf* 
fasf epraerfeDtabis in<fpcc^ula T^ndem jG alium iitum dam^ 
^loi vldebitin eo feipfum/pcdafior. 

ANNOTATIO 1. 

Vf Achinjt fici€sint€rims0mneSiVt-&r0U09ok^€r4^uer^3t/(^ 
^^ram^i^o ohiucantur coUrt fic enim fiffirumeltusin fiecuUtf- 
hihehitur. Sicdfutfoiidum alicmusanimaUsfilisnAturalibmo^tm 
ejfectrisycuiusoculi e vitreofmaltoconfldtifunicuUsf 4U0veartifctt{% 
tMopmcS. g.horologio rotato intru ipfum cuput uhfiondiio) moveantur^siimfu 
jM^^- jfU arcano motu nunc aperiatJtry nunc claudatur &huitumodicapmK 
imm^mi' ffgcifiamfuprarotjt latusvnumcolloceturjMdprsfiigLtsjMiJlcimacm 
a^ed^re videhitur^ Siefftrmaveris ex materia^uacun^ue capatuur^ 
* tmmBi 



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Magia Catoptricab 287 

iMum^ntufvdcimm^ terebratos^cculoSinafkmjri&tm oriSfJubfiU char^ 
ta oteo tinSia obduxeris^ dr intns lampadem ahdidtrU \ formidabile fe^ 
framodnm exhiberefoterls JfeHaculum. 

ANNOTATIO IL 

QjimUteribsssrotaoffogond fmaginesdiSiasinftUsyaut inteJJuUstrf- 

^^lfisisdefinxrrisyeomodoefuoJufrkUb.i.Pa 

fjmMmmorphotica \ ratio ajfaritionis inffeculo ita reddetur abfcokdi^ 

t^^HuMjtigarivixfofpt. 

ANNOT ATIO IIL 

ClllllftiJii v^intiifuatuorplanisjeu Jedibsss conftasttimeffeceristt^inCMtcftficm 
^^tftritsss fnffilis finguliSsMorasordifsedefinxeris^rotdquef^nderi-^^^^^^ 
^ tvigintisjuatuor horarumtribuirist habebishorologiumCaJ*^^ 



C OROLLARIUM. 
Jpe^acula m medtis tembris ope f^ecuk 
flani exhiberi qua ratione 



^^^f^f^f^^ ^ cMfiituatur Uco^tlumen ingrediens tantism isp 
jfBBtm t^fitfrarotamo(iogonammachindradietyconclaveveroisp 
sfU0 j jfl 0ms ' J^Y e^objcurummanoati^adem^e^multaaiiaij^ffatop 
mmei§s$endrssvtdebip. * 

faOPOSITIO VI. PRAGMATIA Iir. 

^^i' . - , tet imagtnemabmfpicientenon 
r r ^Jam. 

'^;^ Primus Modus. 

WjHimi Sai boc poteft fic. In cubiculi pariete aliquo afiige/^^»^!» 
f f|jREliiroglanufn^ittmiubceru aDguUquantitatebabeat;^^^^;^^^^ 

caput/«i/i^ 



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288 Partit I. Libcr VI. 

^mMh' caputverfuspavimentumincltnatuin,mododidoinpra?ceden- 
ficmditum. ci Pragm^ia» ^ffigatut auteip loco fatis alto , & longe fupra 
moius afpicicntis oculos devato. In oppofito eiusdem cubiculi pa- 
' riete^ h regione fpeculi , fac foramen » (eu feneftram , qua: tamea 
itaoccultetur coronidealiqua in&a feDeftrampromineDtc>aut 
aka ratiotuis U( ab infpiciente fpecukim, videri eon po/Ec. Incra 
drdum forampn, Iqu feneftram di fpoue imaginem aliquamjqua; 
radiet io fpscDliimi & ^ fpeculo refledat radios fuos verfus pari* 
mentum. Quodfieripofle^conftatexantecedcntibus. Poceiis 
etiam^ regione ^eculi io muro oppofitodifponercaliamiuia- 
ginem^quas videatur radiare in fpeculum.de fado tamen noti ta- 
dicL St jam fpcdacQr (kancofpcculum, U cKtra locam ad quem 
refle^i^or knago incsa feneftram collocata \ nce proprlam, 
ncc aliam uUanCvidcbit in (pcculo imagiocm : Ci ver^ ad di- 
dLum locum accefTcrit > imaginem videbit longi divcdam ab 
ca> quat fpeculo palam oppdncaeft>nempc imagmem, auacrpQfi 
feneftram abfconditacft •> fuam ver6 , & altera tn cubicuio esqM* 
fitam imagtnem minim^ videbit» Fieri etiam poflec forames 
(upra cabulatum cubiculi>ita tamen,ut non appareret in culrfai- 
lo. Sedtunc (peculum debcrcteijeparieti parallelum > 6ciau- 

focollocarittiitucpcrforam<oin(pcculum, jodeq*. inviiimvra* 
^ iaret. Macarcc lcalus qtiidam Florencinu&illufic noniiiillis 
curtofis . I]Uccbacis»(pecv!iim (chab(frc,m quo qtiilibisc ridcrc 
pdRct , num ex legHimo thoro fuifJfrt natus : & legfttiiios <\Qi- 
demapparerciafuaforma oafura)i,illegitimos vero avcrfbviil- 
cu &: n jgris capillis^ Tabulam h regione fpeculi occulc^ dt^ 
iticrat » io qua buftum averfo vulcu & nigris capillis erat * 
£tum. Si cui igitur illudere vplebat , fpeculum partctl s ^ 
ita dirigebat » ut non infpedantis effigiem » fed ubulas^i 
redderet. 

COROLLARIA. 
CM^ptrUM TJ^/^/ hinc I.efUArAtione fieritojjttf vtcircubts Jpecuh exf$fi$mi 
rstfrcHU.' reatin^eculoquadrati/Sjdaee^ fiatcatoftricaquAdratura^ cira 
^ nimirum in cubiculo eregione Jf^cuU fonatur circuks^ quiraJ^e \ 



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~ Magia Catoptrioi. -^e^ 

fifnmtAM fotutar quadrAtum^ /fuod i» JpecHlmn r*diet^ 

PAtet l L quomado J^ec^U exfofit* imago vir.i Affirm' maUert Cat^tec 

imagojuvenuAffAreat mortuifieletHpi^mago fulekrdaffareAtdefor-^^^^^^M 

mif,&c.&<juomodo HoroUeium in^eciUo monftr*re fojpt horamM- ^***** 
. verfmuhejffUAmmonftrfnJorol^^^ 

■ t^it^lULquomeulool^t^^^ 
; Ay^fmculo fojtnt, ifuidoij^f^es i» eafirif , m^mc ^o i» wneii fen «>ept«kea- 
;. fromHtonihm,vtvocAnt,urMt\fimmirumhAfiAU 
: ««99 affigAnt,Atque iu hoftiMutcafirif ohvertanttVtraSositKideitth <$&m 

4ueftosrefleS{atftinvaBumdocumque$bfirvat«ra. . 

Secundm Modtts^ 
r ■ " ■ ' 

jCiBeund^ fieri hoc tdefti poteft bac ratipne: In plano aliqaoHria- 
, *^codejpioffeimagioemquaincunquc, eoartiiicio,quoiidercri- SmwUw 
r pfimaitoprtlib.3.par.i.cap.f^ragmat.i.r&5.HocpIanumop-'*'**^ 
; p««e4>ecub(fiTe infr4,6ve Aipr^, fire^ latere) ita, utpidura ra> 

r 4icCinipium,&perfed^ineoce}iigatur,abafpicieneiBYer6^e- 
- coliira , & planum jftriatum in «o iitu , pidhira minim^ difcemi 
^-mieat in piaoo,eo.quqd oculus tunc non eft in debito loco,6 quo 
^.MliimapparMimagooi(fipata. Vide qasb diximuslib.j. parcx. 
[■ cap.i.Pragmat.3. 

Q(x6d fi ^uvs^dtTerias imaghjes di/npes Iq eodem planp 
, ftlato, quarum una appareat a^icientt 4 dextero lacere plapf 
L aliecaalpicientiifiniftro; aut uoaafpicienti rurfiim,altera:debf.' 

I iiim}dcuQamimagtnemdi^paumobvertas^ecuIo,akeram 
•odo j^^icientis) videbit is in fpeculp diverMm imagtoem a^ 
«Si^qaaminplanodepidamvidet. ^ 

Hrtiuf MdHf^tx aU^rummente, < • 

nPZf/w. Viiro aut cryftallo ipecuIari,anfequam^termiiicturT<t«jai 

acformeriirinfpeculump^obdo^ioD^JiatBinjeftannex^''"^' ., 
Inlcolpe imagittam guamcuaquef &: ^i^t^t t^^Uf ^ty^^ . 

- QO ycT 



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^2po Parris 1. Libcr V I. 

Tcl ipfi lamiiidrilaiiQeas^ntequain vitro aut ayftallo dbducatiir, 
jnfculpeimaginem i&deinde vitro obduclaminam fic appare- 
• fcit femp«rj6c ubique>8c ombi ihfpicitnti, imago illa inrcuipta>& 
Donfcietur^reiignaroundeidprotehiat^ ita^aliquiautumant; 
ou6dtamen minimiverum exfftini6,idcoexperimentum non 
uimpfiypucoenim argentumTivum intervitrubi & bmihdhi fefe 
infinuansoblitcel^are fcdpturam^ Mef^inime^h^ffe dpud/^- 
tiumDantes in Pcrfpedi va , Ducjfm Cc^mam dc Medrcis |^co* 
lum habuiUe» & Henrico Secundb Fi^ancias Regi obtuliue» io 

3uoaliaimagon6apparebatqu4mdidi Ducrs. Idhacarte con* 
ruduminille , iidem exlftimant > fed fine dubio faliuntur , pro^ 
pter cau/am didam* FKirtherm exiftimat » Si quis Pi^far ima^- 
neminfoUoin quo ffecutum argentiviviope fublifliturfubnliftyU in- 
tid(ret^f^deinde ^eculumaiiquantiiminclinareeycertum efje nihHin 
* ' (^jecubpfdterima^fmincifiminjpeculov^umiri. Idemfottaflis 
^utavit ante ipfum P.Ioannes Leurechon in Recr^tiopibus Ma« 
thematicis ProbL84^um»ii. Stoiile fpecQkim dictmttir habih 
lilePatres ^SocietateJe^u Mooachti^quod fdumfiavarixl^ 
ciseffigiem oftendebat»ut4$ri&t;wj^j^teftaairinDeiict]s par.^. 

2.9. Sedidpraadi^laarteprasparatumfuifte^nohcredo. .¥klr. 
Decula cum pidurisin vitro, fed non exhibebant praedidumiC^ 
tedum« 

PROPOSmO VII. FRAGMATIA I V. 

X^riQ fpeculo ^ano repr^Jintare tn ctkUcido ea^ 

extraei^ieidHm funt^f^ dtreBd^iftone^Uer^ * 

nofifofjane. • ' ^ * 

ifHiApiM' t M conclavi afiquo eft feneftra a> tam alta^ut tu in ipfo concla- 
ftans,auticdens,non poflis proiplcereper ipfJim, velis tamen 
^McM' videre plateatri fubjedam omnes homines pra^tereuntes j ae 
tmimm. quidquid dtfrtiora \n platea geritur. ^c operare per fpcculus 
VidcFig/pl»nu^itt/\InfeKk>«ltocregioh^ A, v.g. in c, affige 

VI. icon^. fpecu!iitivplatium> q(i6d feneftranrclirecS^ y& fimulptateam re- 
XV. i^- ^ > ^i^a^ 



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tiagU CatpptrlaC 2pt 

/pidatpka t«iieo»uc platex recepcas fpecies reverberet (eo refie" 
daciocraipfum cubiculiim,y.g.iD Hbcaucem aflequeri^ 
Yclper Propofitx. praccedencem» vel permeramexperieociartf 
iociinandotamdiu ad diTcrfosanguIos fpecutum>donec?ideas 
platca? imaginem h (peculo revcrberari tn b. His fa Ais» B in b 
ilesyaocfedeas^obrerfoectamFeneftne dprfo> videbis&pla- 
(eam>& omnes crdBfeunccs,& quidquid in ea gericur; videb^ 
ioquaniiofpecula Kacioexdi<^Uspacec. 

ANNOTATIp, 

Qj^hjeifumvideMdumeJfet^lnusquhnfenefira ^eculum c de* 
^berfi foniin favimento • & pro exigentis inelindri^dut f4vimeni^ 
i^iidijf^vc SiinmuroeffetjolumforAmenAliquod Dj ferquodok-^ 
ji&mmextraneumradiaret.adhHcrefrdJentdrifoJJetinJ^ecuio. Sipro^ 
vdj^^hjeSfumremotumkfenefira a, dfeolocofitum^fUferradies 
r^SS^ f0tru finefiram radtare non fofiet > adhiberi deherent dup aut 
^mi^cttU flana^ea^ diverfis locis dijponi , h{fc eH » vnum in cHhicuk^ * 
reS^fmim dmt reliqua extra cuhiculum, modo mox dkendo. 

' PROPOSITIO Vlll. PRAGMATIA V. 

^l^mtl^ atH ttibm fpeculis fUms reprafirh 
t^reobje^um extrs^uhicHlum 

E&p||Htii6 obje&um a ' e^^cra cubiculum, radiaos periene- j^miiifa 
^^3^^j> a^ldcura c, intabuJacocubiculi. Ponacur in c/<*«>w/^ 
!ai*ijptanum!ita,accxcipiatfpeclesobjeai,eafquerefledar^j52JJ \ 
iD J»/Sl ergo in D pofueris aliud ^eculqm, oculus in cota HnM $xtr» tmu, 
tdScwius 1>F idvidebit. titimmf*^^ \ 

fecundb objeAiMn in g, extra cubiculum ,quod per . ^ 
Jn B radiare honpoflit» Ponaturunumfpcculumpla-^^*^^* 
i' i, quod refledat fpecies gi per feneftram i ^ W^^^^**^ 
C> 8c ex c inv;U habebis intentum. . 

OOz ANNO- 




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. 2P2 Partjs '1. Liber VL 

ANNOTATia ' V 

^frovterniniUfndi^antUfnohjeS^^^ frefterimpedimentumimtcr 
chjeaum&murumjeufeneprdm B interfoJitam\ adhiberifotermrft 
4iuotlihet diaJpecuU . Poffeautimferieaquddiximui^fatetexdi&m 
uf.fraced: ProfoJ.XL e^XII. 

PROPOSITIO IX. PRAGMATIA VL 
Theatrum catoptricttm e planu Jpeculis fdrt^ 

cari. 

\if AchiDam fequcntcm defcribltr//^i5VIib, j.Optic^PropoC 
CM^piria -f^^* jS.ex Ptolomacolib.i.Catoptr.thcor.6 Eandcm habet FnrU 
thiMfrmm^ Iib.17. Magix Natur. cap.j.Sicautem conftruitur. 

. " IntaDuU,autplanoquocunque,dcfcribatur cx a ccn 
rw ^'^fijniicircuIusB CD,auit arcus femicirculornaior,vetminor,6c 
mCxY^ vidaturinquodtbetpartesfeuarcusarqualesyUthicin rexsarcu 

rer6fubjtendaturchorda? BEjEi^^FCiCGiGH,» p,8cquidquidefe. 
extrahaschordasydbfcindatur^ut conftituatnrplanfi polygoa^ 
VidcFig. quale^uramonftiar. Fiant deinde tot fpecula plana paiFSMUo^ 
2xJcom£grama»crLiotlatera babet planumpr^di^um^quorumlatitiHi^ 
Sta^ualts ipfis chordis feu I^ccrfbus b e, e F^&cJongitudo irer& 
feu alttcudo auanta libuerit, asqualis tamen id omiribus» Hscc 
l^ecula paraiellogramma ertgantur perpendiculariter tuper 
, ; pra:di^poIygohiIatera,iinguIafpperangutiSiatqueitaiDt|^^ 
; fecuDdum longitudinem (eu altitudinem conne^antur^ut the^ 
Vi^^)%trum feu aropbithcatrum angulofum referat Machina». proM^ 
x.korit pjgura aKquatenus monftrats eritqueCatoptrrcumttieatr^l^ 
conftrudum* InhuiusMacbinsecehtro a> autiDquocQoqiiii 
pundoadperpendiculum didocentro a correfpondentejj^ 
collocetur oculus^videbittotfaciesperorbem yelut in tfa^^^ 
^ifpo(Icas,quot planis fpeculis Machina conftat. DeraopAg ' 
ttoiiemadugDareconaturr//^i4:'^ fedbmnlnofa^ Kafiag 
iittioa ha?ceft>qu6don9nesfic foliillrradir^qulexpbjtdafeo 
ciibi9ceiitrocoUocatocaduntiaf{^cuhp^ 

, ■ fiedaiiciir 




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MagiaCfattptrica. ':29J 

ileaaotffr pfer casi*6m Hncas perp»dl<njfef<sioipfif»oc*fc»^ 
per Pr0P0r,x.rrMi' reliqaiautcm radii qui obliqufe rocidunt UH 
eaJcmlpccuia,obllqufeetiamtcverberantur,a<^aagcitosttino» 

iocidenti« angulis a:qualc$,ideoqttemiDlmi«tf aciitarojfewf- 
tuotor. * Eth«c caQfa cft ,cur ocuteio ccflttotoUiwwtoa^ 
rcanttot ficies.quoffpcculaibntcrcaajinalii* vtfdptto^^ 
locato oculo id miftimfc cohttngat,fcd«d fammum«n»toi»» 
im^^oappareat. 

: . AJJ^NOTAtlO, . 

Atcmfrc felygonk UJi prsdiitJ LMdchin^ formnndiy-fotefi 'm& 
mtio^&minorfimicirctth.vtdixL K0neflnecejft\vt^d*tnt 
mptrtes dquates ,fed fotefi dividi in injtquAUsiac froinde&JfeeuU 
fMimteffe inaque,Usinterfe Utitudints. NecetixmefineceffeyVtomnt* . 
^amdtmdtiiudinUynec vtintirfifinircontigii*,fedh»comnHien 
pstm gretiXfiuiit. SifiecuUfuperfolygondbsfaUteratreSlMtmm 
M^entmrHs,vtcapiaeorumextrAvergereHt(^£^iklitMnenincHneit^ 
ne)rad^rejUxifurfum reverherarentur,ideo^nonnifiinfim£hesti^ 
affTm^mmumvideripofeniomnesimaginesfimuL Si cafitaffecul^ 
r$mvermMtintra,reflexi0nUradfdeorfumreverberarentm, Ratt» 

ftcHae/exdiefis. < ' \ " ? 

' PROPOSITIO X. PRAGMiTrA Vifi ' \ 

^^tertheairumCatoptrkumconftruereeJpe-- 

cultsplanis, . .. , . , . . 

PRjcfentcmMachinamconftraerc docetjW«1iHir<Mag»PJ'««»*»«* 
Naciir^p.3. cftquc long^mirabiliot & jucundior prapceden- J^^JJ** 
te^io illa coiro non ntitex numcro fpcculorum fimulacra dcr 
fM^ranturyin bac Tcrdfx vifiU & multrpliciam fpcculoruhi 
multblicibus rcciprocis idlbus long^ pIures,ficJ»ropiinfihitac: 
inaaroescooljpiciontur. Sicaotem conftruitur. . , vi<fc%^ 

^ln plano aliquadcfcribator circajiis lubicxfmagnitudtn^,^^^^ 
pioutinagparoaotparvaroviiconftruerc Ma£hlfiam.k cumquejY, 



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Goo 



^ JPanUL Ub. Vf. 

»c, c ixE, &c. Siogulis arcubusi duobus k b c prarcermiffis, 
ifobteiBdaDiisra^^ confticuaturplftQum 
»ol^onuiiL> iu taineoi ut uuum polygooi la(us (it diret5le oppo- 
iUfsm poodio & m^dio duorum arcuum oonabiqflorumi cu- 
-Ibtmixii^ftiDF^.Caktus ^^gperfiogulalatcratsMiu^poly- 
' »0ni erigaoturjUt aotea^ (pccula piaoa. paraIeIlogr^mm;|,.ut coa* 
itituatur forma ampkitheatri datoptrici , ^d partes k fi c aperci. 
Si jamadpartemaperum k b c faciem tuam obieceris fpcculo 
G F i regione pofito., reAc^tacupead: iu (KluAiro tuum # & io alia 
%^la cuxufQppfita»&ex hisio alia*atquealia» totrcfiexionihius 
c^ciprQciSfUtinlioic^ propcmodumfaciesappareant.lBtq[u6plii- 
raerunt/pecula, e^plurcsconfpiciencur facies. Quodhlumen 
pffope B poiucris.infinicaconrpicieslumina. Si aliudobiedum 
i}Uod<;ui;ique ibidemcollocavcns^ nonminus & illud muttipti* 
c^l^i^Ur. Ratio patct exdidis,quia noo folum obie^um (pccula 
irjHkif^Qf ▼iderip^teft inlpeculo,.(edeuam imago obicdiexboo 
inaliad fpeculum reflexa > dummodo rcflexi radij oculo ioci- 
danc. - 

ANNOTATIO. 

TJtJEc(^4chifM eftlon^divcrfidbeA i tfuMmfapi cdffte fr^cei, 
ftefffxyfief^foffeM^mmx in $IU enim/cmel untum dffarH^ 
fieHnm. " - 

SifufraUterd folyt$njL hAfis frddilfderifferenturfiecHUMverfi' 
:rum coUrumJmdgo cddtm fub diverfis coUribus refrkfentdretur. Sr^- 
cuU monftrofa » duqmbminfrdfao loco ^fitfereddem Uterd erigerentwti 
fiibvdrustkonftporuUfiirmiseddmfdciesf^^ - * 

1>R6P0SIT10 XI- ^kAGMATlA VIIl 

^erjptiiivam Qttoptrko^ Archtte(3oiticam Jpeatlit 
' flanurefrttfamart., 
cmd^ffih* jA Pj^^^Qg^» qu^mpraccedcos» miriaBOior ac jucundiordl 
^r'*^*^' icQtteos Machina : in eaenim nohfacics infpd^ancisVid^ 



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Magfa Caroptrica« 2pf 

tur.rcd mfru^^ ordixiltiffimii, Idng^qjitrie procuf r^ds^lum* 
narum ordo.ex Arcbiced||r^reguI]S|Ucapparc€ad(jb Ma?» 
chinamdercribit Pi;r/tf k)c.cit:Jbiic6clariusacdiftm(flim^^^ 
queipiiffimis eiys Verbis eam propooeretobeCjAipplerequelitte* 
rasqua^ioeiuifdieiiujf^^^^^^ r \l - . / p^^U 

f M/ /j//i^r ^ti$ji eiJ44niitatu circ$Utfs. Scd ^tf^W^^ 
&$M€fi^um /MturAmducjr^mptckm cumJimuli^. if^ll^<^.9^^ ' Tm* ^ 

quAksJi^vidAturyVtputnquatuorclecim. ^Pun^adivip^^merMni^^^ ^ 
ireiisrpm cchmnarum. Jiociu injpeiisrts dMOs fartcs^ ff^uf^t. , 
UmnAemediotollfUur\tredecime^ Sineregiif^evi^ 
fi*^<^k^9a. Brig^urmoxjj^ 

€XM&e»^j€dincUniif^a,^D^^ • • 

ce9tmry]ed^Uacir^in}timifuAC9^^^ 

m^^utinJ^eSorUfaciesnonreSXeoU^^^ viin f¥^e^ 

rmidiximm : vf^defieculanonfaciesjedcolurtm^ 

ern^mretrdfentepj. Vndeex reciprociJ^ecf^lQrumjMulatu,^^^ 

imiftmrcammniijfiykyata \drornamenta , reiia C^r^^t^iiurMardi^ ' 
Jervato ^ vt niljucundim nil certeadmirAbilimocuUfoccHrfetnoJlris. ' 

Per^ciiva fit Dorica Corinthica , ornata auro , argento^ margaritisy 

gemmisMdiiypiiiuru.drJimiUhtss^vtmagnificentiorvideatur. lchno- 

grafiyiaeiufmodierit. 

HG locu4wJpicientisyCotumna Itreaioneoccurfans InJ^e-Vvi^ Fig, 
f A 1, ^'^)/ A c, injpeiioris facmnon videbitw^^Jed a fi in i H refer^^^^omL. 

Sifier^ in iMB D. .S/f w i^^/iviE^ refiexiomki^adeomultipUcantur^ i//^vi. 

iongijpme intm recedere videantur , adeo perjpicu} i^cidrk» vt nuMm : 
liitMrm fit mjpeilorj nifirei confciusy quin retrb manm tnijciens , ordines ■ 
WM^aretentet.S^^^^^ 
pnibus muliiflicariviii^^ 

nonpLtisAdrn%rariqueds^ordi:ncr^ Variisli 
uumm^dis isQcamphiteatrumfrexmitss^^ confiruximm^ , aUos^ ordim 
WfefiimdenddmdeUcetdmss^ , vt ^Uer (ifcutis ad^ 

feredt.aiter in medioplmeri^atur, CHmp/mtsformapiis^^^ . 



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29tf Partif I. Uber VI. 

^U^rum Jhiummddo'flariorathfpeculoruffiope nm 

'A«"'"'«"*CEquprM Machina,auamvls fimpliciinhia fit,mirabiles tameo, 
^iZ^^oi* ^lfc ji^cdtidifflmciscttc<auspra»(eat, uttionfemelvidr, aliisquc 
rtt miri ^jt|)if)\i{VRohnbHn tfdeb^rimo' P. Athanairj Kircheri Muleo. 
muu^ii- jCotift¥n^6ciushaiceft. Accipe dudfpiecula plana a b,ac, «- 
^*' qtiaIi^Iongitudinisaclatitudinis,eaqueAbulis d & £ icaconne. 
ViieFie iDtcr fe, tit mftar libfrcjaudi & aperiri , & in quemcunquc an. 
1 1. Ico- ^utti adfc invrcctn inclinari poffinil. Plan* deindc tabcllz 
niCxiv. H I F G, enifHem cum duobus fpeculis expanfismagnitudinis,an- 
nihe ad reSos angulos aUam tabeltam femicircularein f b c g, 
cuiuslimbus ia i8o.gradusfitdiyifus,ab f verfus c progredien- 
do^veraGverfns f. 6inafpecu1adidomodocoIIigaacolloca 
fuprafemiie^^caluilAUtautconjundioniilinea ad:e centroeius 
infiftat ; tabulac ver6 h "i f g fibif laV d, e, aidglutina k tergo Ita, 
ut fpecula 4 tabula nqh quideindfvelli , childi tamen atque ap^ 
riri ad libitiim poinnt>ericque Machina polydit^ica con/kuda. 
Si jam fpecula bafifiiaelemicirciriarl infiftencia ita explice^ 
, utatr^mc|uefpeculiIatusiDferius,diametro fg infiftat, ociU^^ 
^]'. faciempro|>riaihoppoh^s,'iiQcant6UIaiafemicircuIo ^ird^one 
' centri&bodiu^dufae £D;obiedtu'mquold<^unqueconbce»>ap^^ 

5)arebic id fe^el tantfim in quohbeiffp'eculb , quiatqn^untim 
peculum iitiaginem in lc recepcam non pbceft refletftere io al* 
terum. Et Hxc phafis pei-durabic, fifpecula paiilatim claudas, 
ddilecdlti^riith abfcinaatih limbo gY^ 
t6dusclrbairpartem : tlitibbninr) vid«bi|^iti1lpi6culis qua£^ h- 
cies , 6c qui^tabr ohieiki , duo vidteli^^lNM tinoquoque,' verum u- 
num,phaotafticum'alterunn. Etrafib^ft, «quiatuncambofp^ 
culacamftiisimaginibus Ita In femut^oradiant, utradi; refle* 
xionistarnvpri; q^m'phantaftiqiobiefn:i, in ocu{um incit^b 
^dod ance4a^biiiaiUmlla(tetum dWaricationi^ ^^pbt^t 

'^tontin- 



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Magia Catoptrica. ipj 

coQtiQgere. Si fpecula adhuc magis complicaverii , ut unhisi la- 
tus ablciudat gradusyi.boc eft,i]uintam circuti partem ^ videbis 
; adhucplures imagines ob plures reffexiooes mutuas: Sc adhuc 
I pldres 9 fi complicaveris vfoue ad gradus 6o> 45, 40» jo; verbo, 

3u6 mtoor fit angulus > e6 plures apparent imagines^ donec tan- 
em ob nimiam complicatiooem evaocfeant ofiioi»i eor qu6df 
rcflexiradijadoculumpervemreamplttenocipeffiiim; Uitonr 
ver6 femper pratcisim fpeculfsappareamtot imag^^ 
rera habet polygonum » cuiusuoum tatus tnMP«ia<jp«cdbmw 
tetcipitur(quod P.Kircherusaflerit^direemeireaOT^^ 
fummo id ftudio indagaverim. 

CORQLLARIUM l 

\l)mbmfUnisJfecuUiqtt(mN>doDrmimes^m^ 
sgnem ftrantesexhihmpofpmm. 

maridtiajfUMd ^eculd invicemtoB^Mudeyerediximm , f$m*titr^'^^ 
fffirAj>rM»nii»e0artificio, vtignem ffiret(iiu0dfuitefiet,ftcM*Um^!!!l!L, 
'yrcerfmiyrMonitdedttQumvfyueAd oshitnst futvere^fHofmadef^rdktJF 
'SorefUafi orificium^ cmoUs /ibermuextrAfm^minfmmrnfrg fg. 

t^cirtulnmemergdttMlfutveremincendendumlt^fMiilMtimfieeuU ■ 
■ cpntrohantur, vfdiximftjentferfluresic^-fbtres in iBi uffuretunt 
DrMcones^nesignemffirgntes^nonfineintuentium^bftgte, ■ 

COROLLAR.IUM U. 

QmdelMnndHfUcarevtfi^mHS^toritmJffCtt- 
Urumflmoormtope. 

Slex centrt commijknuduorumfiecnlorum frdcedeMtoriMuehimiifMdb 
cdndetithrMmdet&csH$rcsMleIa*ccens4infiruifum \frovaariMfieem- 
lorimdiiuBione & codrffstiome varimmmcondeUrum*rdentimmmm^ *^^^_ 
mermmexhiterefotes. ^Md'Jiimiffipmicircuhottariohimfofierm,7r*^^ 
4- fifrsttltsrevmmmMmfdmcMmdelahatimteffrmm EcclefiMmMUmihm 

ff . '■■'fim 



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3p8 PartU L Lib- V I. 

fim infirnBiLm^iSrcindeUsstdentihm ornaum refrdjenukis^ f4nt$ fe* 
iiciis & jucHndms , qudnic mMrfutrit Mdcbind^ 

ANNOTATIO. 

it^fuUi XKvludUdexhil^ifcjfnntfrddiiiAMM^^^ NectdntimilUdb^ 
dm^jmfU^ iYl ieSiddffMrent&mnliifUcdntnrined , qud dnte Mdchindm in fi- 
fLimZ- nucirctdo kicdntnrfeddiU etidm remotd^ vt integer murmcum fenefiru 
tr4fin$Mri:fiUs\qmitd^mindtmfalnndeinUn(^ w fU* 

tcdmldngi^mdmMdihmdCfdLuiis^UndidiffimisarndtAmrefe^^ !§. 
cmuUJtmumerdt Renidyvsderein P.^thdndfij KircheriMecbind 
tumfeneMnfeumy infnitirerumvdrietdieinftruiiump &inhngifjt. 
mostrdSlsss froduBum. Eccequdm fimfUx Machindqudmmulidrmm 
inventionum eft fcrdx. ^ * 

PROPOSITIO XIIL PR,AGM:ATiA X. 
Ctftam (atoptrtcam cmfiruere , in qua qiMCim^ 'im^ 
lueris^adNatur^exemflarexbibeantsir^ 

Cot^ftiis \ RtificiofiflTima xquc ac jucundifTima cft fequcns MacIiiBa^ 
oifd. £\ qy;^n Ciftam Cacoptricam appclUrcplacuic, quonlam zd ^ 
ciftas oofmam eft fabrtcacar Pomint tn eli «itiiben ad viviini> ; 
fummaoculorum voluptaccyquxcunque vcl Arsxvcl Naturaex- 
hibere Ipcciofa ac delccflabilia folct, Trcs talcs Machinas Ro- 
fnacvidiraepius,& vcr6ccianifu/Mxi,proptcrinfj£ncm,cBam 
; cubsaffenint, teCKMntm^^^ VHUrBurgbefia txwM 
PortamPincianam^ alterainnefctoquaalia Principiscuiufdani 
Tillai tertia in Mufco Kircheriano CoUegij riomanr Societatts 
Jefu. Priorcsduaemirarerumphafmata^velfimavis, phantaf- 
mataexfctbeciti Jaraenimfylvaspineasatquc cupreffinaslongo 
ekgantique arborum ordine didudas;]am urbcs in fuas concio- 
niplateasdiftribucas^domibttsqi elegantiflimisexorDatasi paa- 
;]6 poft nilpdiiiascopi QfiiHm^oraiiii^ i^ercinm pretioiansiiv 
^^afoniiiipiffiertm & argenteimim, margaritaruiiH 

4iQromc|iie oci^orum ipfcamentoroai ciDfil1lBflxHftiflin>as, 

aoz 



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Magta Catoptrica* zpp 

mex BibUodbecaminfinitblibrisafBibr^comiiaAtttBc^ 

difpofitis referttm » aliaque fimilia mulu ofteoduD noo om^ 
Qjaquidemfimul» fedfiicceifiyialiapoftalia, adeoadyi?am,ui; 
apparitionum rallacia vel ipfis Catoptricat peritis fubinde iHu- c^^ria 
dat, impcrids ?er6 impodat penitus • qui Catoptrico illo phan- 3J^^* 
tafmatedccepdt nonrar6manuscxtendunt,adcontredandasjiMiiyi» * 
reram fpecies i non finc adftantium rifu. Ad harum cifta- 
rum modum. P. Athanafius Kircherus aliam conftruxit,illfsu- 
men long^irabiliorem, five fpecierum muldplicationem \ ifive . 
/cenicorum , phantafmatum apparatum (pe^cs i eamque in di^ \ . 
do (uo Mufeo aflervat , atquc adveotanabus fpedandanf pras- 
bet,magnaomnium admiradoneacyoluptate^ Eftharceoard« 
fido (aSa*, ut in quamcunque fcenicamproicdionemdilponi 
polfit, lU ucfiquiseandem introfpiciat , ornadflimaconplaviat 
infiaitos columnarum architrdonicoardficiodifpofitarumof» 
diiies»varia ambulacrorumdivef ticulaauro» argento,omniqu6 
dmeyorum genere ftilgenda fe vidcre exiftimet* Ab(cedcnte 
hacfcena videbishorto5omniflorum,plantarum,arborumquc 
/peciemiri cxornatosimox menfasomnicQpcdiarumgcncrcre. 
terdflimas \ chcfauros dcinde incxhauftos > avarorum maximui|i 
torqientum ^ quorum nonnuUi ionumerabilcm pecuniat vim a« 
vid^iotaiid dom manibuspalpare tentant, maniphafinads (pe- 
cie iliufi,oon fincgemitu autindigoadone retrocederefiint viC. 

uluaUa exhibcri hac Machina poflunt , & faciliquUibet exhi* 
bebit,fieiusconftruendas modum non nefciverit>quemjam tr^- 
do cum P.Kircbero,fed paul6 diftindius, ex ipfo prototypo i ttip 
vifo. 

Fiacexlignofolido & beneexficcatoMachlnataualetbap- Vide fig. 
pofiu rcpracienut Figura > alu uniicum bafi palmosieptem cir- ™: 
citer » iongapedes quinque, & lata tres. Parsinferior feubafis ^ 
AJCB £FGHitfitintuscava)& fupri^,ubi AfiHi«aperUifuperior 
ver6 fic ioftar ciftx iofrii & anti apert^, cuius dorfumfeu pars po- 
ftica M o fit innixa & firmifl!im& coniunda laceri pofttco a h tfA^ 
fis;lacera ver6 r a ^ x h, adhasreanc laceribus a b, h i eiufdem 
bafi$ I lacus ttyferius > quod plano a bh i re^^dcre deberec; - 

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jbo Parti» I. Libcr VL 

ficpeiiinis M)ernsRi,iiti 6c anterUis. Laceribus k A & L h, adhx- 
reaptTalvufas R, drcacardines fuosverfatiles,qcijlHr$arai 
aQtcrixii s^p^tVL claudt poffic» Fundo feu dorfb m o atla valva 
. sT.ficaanexa, cjuse <ieprinni acque elevariad Ubitumdrca^luas 
cardiues queac Intra cavum b^fis accommodetur corpus po* 
lyedrum (eu mulcorum laterum ac fuperficierQm^Cv.g. quacuor» 
quipque:,fe3^&e.}adarquans totaai wh loog(cudinem aclauca- 
^ainem cavicacisbafis> non ver6 cotarn atcicudinemfcuprdftm- 
Vide Figfdicicenfv . Tale r(ppra:/en tac ffgura y, habcnsquacuor latcra %i 
iv.Iconi£(uperfides(ecuoduroIoD^icudinem,dcduasbaf^^ v & x> <ficj- 
xvu curqueaMatheniacrcisparallelepipedum. Inmediohaficimiii^ 
figaii^urduoclavitertces ferrei ac fbrces> v & x> quthus inttk 
cavahohafim Mpendacuratque |ibreturpr2tdidumparaIIcU|tf* 
peduni>tranfeunte<;tayo X perforamen z, iateris GFEir cil* 
^overd' v perforamen oppofict lateris. Ctavoxpromtoiebtfttjlc 
fbramenz>affigacurmanubriumcurvum zp, quodfdamrpp 
rallclepipedum incra cavam bafim circumvoivi point>& ^ — 
unum, nuncalterum tongicudinrs lacus {euftipernctempfl 
te eolocf^> ubi eft fuperficies a b h l His peradts > omo» 
i;tores ciHx fuperiorisfuperficies fpeculartbus fruffiscruad^ 
aIteriusvc1igur^>vefties>nempetacuspoftfcum iio> auoJ 
i.>inceriores fuperficies valvarum <i, ScK,tcsT^ Ot 
autemdi^a fpecularia frufta ita incer fe commitct pIumbe|F«fK 
tjgnets reclf%a<;u]ls ( prouc in (eneflris vicra oonntmrccaii0jQ 
. ttnumi|)ecuIumnon plus emineacalcero , fed in onmibi&lttdliU 
busplaoisunamfuperficiemptanamefliciant, jTufs camen pkMik 
heisfeu!ignetsconfuxiiflurts4nter(lfn<3tam. Poced&infertorildk 
ct> cifta^ fieri ali» valva Ab^ic fpeculis cryftallinis ohduci 
aJfarum. . ^ 

'Haec Machin?cconftrucliIoi fequicur ufus. Si ^vSftt Vsil 
aAoribus.c6nfitamrepr«fencairedefideras> in unoparaltc^ ' 
peidi Y intrahafim (ufpenfiacctrcurnvolubilislacerefeii ft^ 
ficie,collo9aarbu(b,c)rprefios>faeps,quercus>ptaca^^ 
jufhorcsjtiix &n^<> viridi>y etcera»^camen propQi:tiooe>qu^MS 





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Magia Caroptrics. ^Oji 

cbHWconTcobc^efiWmaias» iufir^ uccadere» dum corput 
Tcr£itUegy ra€tir>non polfiac. Si harcos vis ri^prselc^tare» coUo* 
ca in akcroprxdidi paraUelepipiedtiaficre areota&ex charu ^ ce- 
ra,lertcoeaorfiiacas, & ooiti^UaiHaruroacfitorai^ 
DOQ fancibosexoroacas* Si chc£iurQs»variamquererumprecio« 
(aram fiipeUedilefn dcmooftrarelubec^ DUfiUQpsaiireos argcn« 
ceos^oe^OMOQa^ordllis, uoiooibusiare,eacefs ^ jkaureis ^ vdl ec« 
'iamTicreisglobuIiscoDCcxcas>va/ciUa4e4^ 
tiopaiaUelepipedi vcrfacilislatcriaffigc fir;niccr,Q^poinnc cade» 
rc Si Bibtiomecam vis oftcDcare» io quarcii fiicie verfatiliscor* 
porisadglucma libeUos cx cbarta ioaucaca;cMifcAos> varii depf« 
&os,&or€ifDc concionodifpofitos. SialiaacqucaliareprxfeQ- 
cjrcvctiSjIocoDarallcIcptpcdi y quataorf^fteramaccommoda 
alio^.corpuspfurtum Eicicrum, & fing^ilisiaxrWbUs^Iitidacque 
aHudrerunci repratrcnuodarum fyftcma iccoiiimoda^alcqttead-^ 
glociDau 

Ibftru^oacque cxornaco hifce rebus verfacilt par^elepl* 
pcdo,fi unani' illarum fccnam , v* g. fyrvarum (pc^lacoqbus prOi* 
dttccre vis,daiideaDCcriorcsMacnin«va occuIcamaKiik^ 
bri)TetlaiioiieftacueIacusinud praetli6HparalIcIcpipcdi> io qito 
arboresdtfpoficas funCj parallclumhbrizbncfscumapcri valvasiBc 
ecc€;jacoo<Mmum fylvarutn in iniSnicum fpaciukn ancrorfum; 
dcxcrorftmi>ac finiftroriumproduAarum chcacrumfcfebflerec; 
QQo<{fpe«9acuIum, pro varia difpoficione valvularum>inquefii- 
cuoqaeficum pToicdioncmque opcicam difponcre poccris» Si 
enim vahrula^ laccralcs fucrincad in vicem paraUcIar^redo ordine 
ucrimque in infinicum proicdas arborcs incueberis» Si ver6 una 
id aiceramiocUiiataiiicrtCt ambutacra cacopcnca in lac^ra ab« 
[ccdco t : fi fupcriorcm val vam horizonciparallclam ftacucrir,fu» 
rpidetfylyas : fi inferiorcmftacucrisparallclimhdrizonci > eaf^ 
icffldeipicies. Dcntquc pro variisaltis valvarqmdifpofitioQibu^ 
Llias proieAioncsrepra:fcncabis> ucexpcrtcncia cemetiusdoce- 
nt. Si dcrcpence fccnam hanc fatyricam» io fcenam horceo-^ 
cmtraosmucare dcfideras^claudc valvulas aiiKeriores»& occul» 

" PP j c2maf 



|02 Pirtis I. Libcr VI 

tlt maoubrij TcrTaciooeiUud polyedri corporis latus , qood hor- 
«eofi apparacuiofigiiituro e(l,rpeculi$fifte,hoceft,horizond pa- 
ralldttm (latue > 6c ecce apertis yal vults hor cos areolis fuis » omDl 
ildrum geoere coofitis , io omoem perfpcdivam«> pro vahralarQ 
difpofittoQe^iotofioitum quafi porredis, maxim^ volupcateio- 
cueberis. £adem ratiooe repra:feotabis thefauros, bibliothe- 
cas , & aiia fimilia , io alits polycdri corporis lateribnsdif (tofiu. 
ExperirejSc plura io Veoies qu4m dtxi. 

GOROLLARIA VARIA CATOPTRICA 
cx praecedcnci Machina. 

XiXhi faiety qus ntione quidvu refr^finUricatiPJrici hdCMrtefef- 
^fit^tMtofrequentiorifieni mutdtione^ qusntl plurd feljednmcm^ 
Cm^ps fmver/itHeUteruhgbuertt. Scenum igtturtuminofimexuihehiijfik 
fitMlumi' ^gexdiifis faciebusfoIyedricorforiscsudcUtrafdrvuUy isejcia fr^ 
forfiunem Machind^cereoUsfitisaccenJisinfifuifakiJpefiierisTaiicieum 
wxfcteft^uanH Ucis &vmbr4 vartetoi^uanta candeUrum Uuu^ 
^ummultitudoy&quam varie fitu jpeSientur\&quam vartis mcMsjch 
na hac luminofimutarifofiit , fro Vafid valvularum di^ofitiane >quk 
uonfim€lvidi^e$*aUis jiufcntibm exhibui. *| 
€ai$ftficS' Pralium catoptricum exhiUbisfiin vna folyedri corporis faciemk' 
Jculs fiu (latuuncuU fwra miUtum armisinftru^orum tta ordmaiMfue- \ 
Mtni , vtftexikd meinbra nervis &fi1isrm9wrifo^f\ deinde^p^^fimi 
^Ursm^^ibmfralioeademc^mmittantur i videbis enim in^^^ ciJ 
fiofi^^fmexercituum interfi conftigentmn^efiacuUmJ^ 
merOjquantovixvUihifuitvtfum. »^ -.^ . | 

€at9f$n' ju(undijfimumetiam UdumexhibebiSffivnidiiiarumfi^curum 
uj^ f vivum impofiierisy vti P. Kircherus fecit. Dum enim cuiioisii^ 
vermfntsufnerabili fefe hinc indecattorum catoftricorummuIiiimoUi 
ftipatumvMiijfartimfropeadftantiumfartihremotij^midifi^ 
dici vixfotefl^uantumjocorum in iUo theatro exhibcat,dum iJH^ssmm^ 
afiequi conatur.nunc cauda adbUndiri^nunc ^gere afiuU^modi ohfiucula 
omntbusmodis ferfiingerevn^uibus^ vtiUisconiunjms^tunciemoqua 
variumce, ^ id^imUpmtuvinos4iffe&minJ^^ 



tm Utdm 
<Mit$ritmi 



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MagiaCatoptrigCr }o> 

httejcl^herip9ffi$m^ 

SidmeUterd KA LH itddi^ofierif^mHf^rdlUlk^Jedde-c^^^ 
cSviMH^MMmMm fitu fiftref^idnt \ ecce tottfmthediruminhdJpedUMtm^^ 
exhiiitmmimerbicHUrem formdm.five im ferfeHum dmphifhedfrmmf*^^''^^'^ 
tiiUi^ HtsUteribmJivdhuUs Q & K ddmexueris,dmphitie4* 
tr§rmm wMrimfirmd cemtuplicdtd in inmumerd excrefcentJ^cSfdCuU. 

Siwiwlde sr,& zh'^fiperiaremfciUcet(^injTrioremMtrM^^^ 
UmMdimvicemfidtuermy inter utrdmquedircd ehjeffdjUtiveUcrei, ^ 
cimecm y mUms^ meieoriUgicMs imfrejfiones^d fdfreris induJlrU yVtim^ 
mtfemJdre wdedmtur\ videbts im faferioriJpecisU omriid itd ndturdH^ 
ter exbiberi ^dcfiin cesU iffo feu direffeStdrentur ; in infetiori verh 
fimeukidM^dcfiindltiJpmo Uco edffeffdres. TUrd quivH excogitMTC 
foterii. V 

ritOPOSITlO XIV. PRAGMATIA Xk 

(hncUve Cataptricumyfii* Proteitheatri0n 

cdmfimere^ 

T^X dl£ds praeccdeDtlPragmatiapatet^qiia racfoiieconcla?ec«MifMi 
'-^guoddafn iotegrum juxta daeam ktcxku clftai noftra^ Ganf^^*^^ 
topiricarprqporcionem conftroi poffitiquod otnnia dida^St lon- 
g^adiujcpJura ad miraculum uique«^lo&;T«70, otcum Kir- 
cberd loquan exbibeat. Jta autem ex ejusdem Kirdicri pnt- 
icripto procedendum eft. 

Rat condave longumpedeszo.altmnif,iwl(quodrofficft> 
modtim pr^di^^ac noftras ciftx. Hal>eat aotem duplices ^ 
nilva$9Qiminim Ticreas ad lucem intromittendam oppertunaa,. 
bm J^peculares ad fcenam ac prp/e^tonem rerutn vanandam» 
bii||p£tisconclampariecibusreb^ Debentaotemomnes 
^ilHtts huius conclayi5,uni^ cuni pa v imento , laqueari» & vatTis 
MMri f^t \w\\ \ v& fpecnla quantubi fieri poteft^ebent eflegrai»> ^ 

^ in boccoocla?! ita conftru<ftohatcVidc;bii phafinata. VTt-emopifkd^ 
^fefxi ififiQities {KStn^atiltiplicatumcofi^icleSy&nuncinai^reiK^ 

• / 



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5^4 ftrtM t Lib- Vf; 

^»eUv$ ambulantem , nudc iti profbordiflimis locis cooftttotum ,modkk 
^mffirk0. diffitiim loQgiflime^jam prppe pofitum reperies; (ubinde cUio* 
. . jbu«t^i^uSjC^uatqo^quin'q^ noonunquam 
. . V .oiQmbus.» aut aliquibus rtiiihtbris maocura ac mutiium • ali4s 
mottilrorum prorfus atque deformem intueberts. Ver- 
bo dkam» miHum Protei theatrum tan tas rerum meumorpho- 
ic^^Mtzs boc ipeculare conctave » exhibereunquam poteric 
' ' . > 1 L Totfefe olFerent platearum difcrim}na,tam Tariab por- 
tf^ipiies^o projedfionesyUtin urbe ainpliffima acqueorlMdS- 
nnktftCid^Arbitrc^ris. 

IIU T^ip/um in acre penduhim, pedibus iaqueart tnoiiiii 
ca0te ver6deor(umTergenfe»videbi^,atquehorrebis. 

tV. Teipfom per a<$ra volaotem>acinip(opaviffientofiK 
^ pedibusii^onfiftereadmirabcrij, 

V. TdipfumMQcaccedememfugere,0u]Dcfogien 
accederp»im6 cx ona parte accedentem ».ex altera fugieorem. 
miro ^ne (pedaculo vjdebis, 

V L in angulis fpecularibiiscoQftitutus teipfum med6 v^ 
- )liirfsinKawibi0imod6fine<>^^ , nnoc ii 

' ' iHrikflBicenan%irafflEtraDsf(M^ ftupebis. 

VliL log^cdiaMkKroiKJaveaMfKemal^ 
fiffluiqQedefcefKUf^tepiitibis. | 

VilL Sidiverfiimffl€olotum|peculaadniircue 
bis faciem tuam nunc colore croceo inftar iderici^ mod^ nibro 
vi^rimioioiHhcirovQmviridicok^ 

1 SitQftvimeitttm acreo colore & Qabibu» obduxeoi^ 
videbis cein iupcitsoribusfpecuiisioiier nubes haereocem». capiw 
deortem^pedibus fiirfam verfis. 
c^ififkA ImmmecaaliapiufiQata tibi hoc cooclave exhibebk» Jhmm 

faniai^(^7iJu>GefUncredibAlia,&inexpl^^ 
••^ff^^^^lixhet. - Quin in uoicahacMadiina^ouidquid in totaMagH^ 
Catoptrica^praefertim quas de planis agit ^eculis,(parfim di 



eft huciBGuiei ac ddnccps dieemr, veait in epieonie ^"tiflam. ic 
ttacephaisoii compcdiei^^ Tale . coodave Cwtopcci. 



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MagiaCatoptnta. jpf 

cora eonftrui fibi curafle Scrcniffimum acPoteodffimura Da- 
ois Kcgemsaudivi Roma^ab eiusdcm R cgishumaniflimo, fua- 
vidimo^ac vcr^aureo Filio» Domino Gtildcnld ejusquc Pra^ 
fedo aulac Domino k Todc. 

PROPOSITIO XV. PRAGMATIA XIL 

^^Cachinamentum Catoptricum IGrchertanum 

c$nfirHere. 

Kjtibandfim Kircherw^yir in rebus novis invcnicndis> & in- csuptrua 
• Tcnds nova addcndis fagaciilimus^dum Catopcrica vcrfarct ^^^»^- 
aotaio^niaoibus ,fic calamo, pcr concinuas corporum fpeculari- x^^uHm- 
xm in ter fe combinacionc5,reperIc Machinamcncum quoddam nmm^ 
CMOpcricum novum>quod nulli alceri k (c,auc ab alris inv^co ce« 
dltin miraculis Cacopcricis cxbibcndis. Rcm dclcribicipfcmct 
MknXacisSc Umb.par.^.cap.z.in fine>&ica(eliabcc. 

Secencur vicra ipecularia in formam^quam exhibecFigura Vide Fjg« 
Jptuitfini. Frufta ominia > parcim quadraca^parcim criangularia^ i.Iconiu 
CDOJWige inccrfcjcaucfpcculaincrorfum verganCi&confticu-^v^i* 
ti*Li>iiVMipniyrrlrnm,qrnlrrfrmnnftrirn^nrin rjnTdrmtro ViJl 

Scaucem didum cofpusfuperi&spcrvium Iumini,&c ii.Ico- 
laasiwdHiquaturoftioium perquodviruidecurlocus.Incusnif.xTn« 
attcemla inedio ponacur columna^mquarcsrepncfentandaC- 
TiMimr . -HifceicaconilicuciSjiicolumnae objedumquodcunq» 
iMiHfiirrir nnn & cam mira fpccflacula incus in hoc corpore vi« 
^»ii»qiianu in nullo alio. Prasccr innumerabilcmcnlmfpe* 
^dBOm eiusdcm rci mulciplicacioncm , rep^ries incredibilcm 
I ■mamnrpfinfrnn variecacem. Nihil amplii^s dico ^Jubpmgit^ 
^• l^wJkr0Stf^gzK Lcdor experimento ipfoplurainvenicCtquam 
^&msIiiiaiIqs verbis explicare valeam. 

.ANNOTATIO. 
aBOr Machindmenttmf velut magnum fecretumi tradit Daniel 
•"-^Sdrtrtnccrusw Deliciis<JH4thematicisjfar.6. Trofofix. Potefi 
MU^kma^f^er^effeclaufk (beculis^& intm ponilumen. 



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jotf Parti» I. Liber VI. 

PROPOSITIO XVI. PRAGMATIA Xlll 

cT^XiU^ P^Iat aixula lignca a b c d e, lubit« longitudinis ac latitudi- 
eh^ * nisiqu6tamcnmaiorfucritbngitado,c6mcliorcmcffccluin 
pr^ftabit. Latcra Intcriora omnia , cum fundo ac tcdotVtfti. 
Vide Fig antur fpcculis planis intcr fcfc apt^ commiffls , uti in praeccdcnti. 
niJconif.busdi<aunfiin uno clus latcrc rclinquatur fcncftclla f, ut ca- 
XV u. putintronwttiqucat.fi magna fucritarca ivcl (altcm introfpici 
poflitifiparva. £ tc(n:otntcriori,&iatcribus,ubi committunttir 
(bccula,furpcndanturcoralla,margant^,aisrea:&argcotc^b»i' 
aeola?y panni prctiofi frufla» catenasaurC£,ct)rolla? , Sciimilia 
alia \ in fundo vcr6 fternaotur (lummorum di verte magnitudi- 
nis cumuli. His fadis,fi arcam lcvitcr moveas , & introfpicias» 
vidcbis infinitam rcrum prctiodilimarum vajrictatcm inGerfe 
commixtana. 

ANNOrATia 

KLiterhumfmodicifiA fimtfic^ SotumlAUtA &hi^esvefimnm 
^fpeatlis^ dr i^ fundo collocantur varid reSyVt fiores^ arhom,(^: qiti 
varurefiemntur, acafparent remotiffiwd, 

PROPOjSITIO XVI L PRAGMATIA XIV. 
Specum Catoptrtcamreprdjentare. 

ca^ffrica. pfatarcaquantum ficri potcftlonga,&itaabfcohdacurincofl- 
M^^^- £ ^j^^j ^^^jQ.^ pra:ter frontcm e cum ffencftra r, nihil 
Vide Fi^. apparcai: In tcrgo abc crigatur intra arcam pcrpcndicuh- 
ni lcoiiili rncr I pcculum plangm quantum ficripotcft ipagnum. Eatcra 
ivn. oblonga vcftiantur hcrbts, & mufco, vdin modum ipecus pin- 
ganturcolorc atrpsautcinereo. Peftfrontcm ed jntuscol- 
iocetur quodcunquc objc^m,unumaut multiplcx^quodta- 
menabintrofpicicntcpcrfeocftram p videri non poffit. Bi- 
dem objcdaapponaitut lumcn fortc, quod & ipfum^j&tQtam 

^ccum 



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Magia Catoptria* J07 

fprcuinlaculeqj^erillumioet Hisfadis^fi pet feneflellam p 
introfpexcris,vidctisobjc(flumab(conditum in oppofito fpecuv 
io ABC» (ed tanto /patio intra jpfum /peculum immerfuni, 
quanta eft dift mtia objedi ^ fpeculo, boc e(l/quanta e(l arca: 
iongitudo. Hacratione vidi farpius exhiberi myfteriumNati- 
vitatis Chrifti» adorationem Paftorum^ pafcentes in campis iQn- 
gcrcmotisoves,&fimilia. . 

PROPOSITIO XVIII. PRAGMATIA XV. 

Terj^ecHlare vitmm in CHhtculo reprdfentareea^ 
qua non funt tn tllo. 

ptllcherrima efl; ha^c Pf agmatia , & infignem jijxta ac occultiC 
' (iinam continetfallaciam,adeo utviri quantamvisexcellentis 
ingcn!i,5ccximia&folertia:,cum maxim^: fallantur, falfosfecfic 
nonlcntiant. Et fatcor me eodem artificio falfum aliquando 
PaaormiiQ Siciliayin aBJtbus Revercndiifimi D.Abbatis Giezi, 
cummeadlpectandum Mufcum fuum rebus plurimisatquein* 
g€mo6iIimis rcfcrtum profua fiogulari humanitatc aliquaodo 
w\Yiufln. Fallaciaemodus hiceft, exP^r/^ lib.iy.MagiseNatur, 
cap.iz.paucisverbismutatis. 

Sit cnhkulHm tftMntdvis magmtudinU^in quod aBudlumen ingrc- 
dtnonfQ^ityntfi peroflittmautfeneftram^fereiHgm injpeilorforisjtans 
introj^it. . Sit fenejira tota , vel eius pars^vitreayVti ctmmuntter fe-^ 
neftra vitred feri folent \ fed pars vna expolita fityVt jpeculum ex vtra^ 
^rff)rf)&.(hoceft>fpeculaTe vitrumutrimquelxvigatumhabcac 
jD/crtam)a/^i^f ihJpeGiorintroJpiciat ; nam reUqua niloferantur. E re^ ^ 
gioneht^fitfenefirdJiHtpiiiurA.fiatud^ &einsmodifimtlta%fedahfian* 
iita^vt ab intro^iciente per fenefiranrviderindnp^tff^raeUent/a^ 
mnm iUam^ & reflellantur in oculum intro^icientis. Sic enim^et^ 
^mtput foris fuerint a tergo videntisy in domiciUoJeu cuhicuh ejfe vide* 
awtur^ tantum a vitrp intm remota , quantumab eodem pofi tergum re- 
cejferintsatfareantg^ tam clare&verhvtnon nifiverijftmaviderefi 
puietynee fe decfptum fintiat infpcdor^ , 
^ ^ <3Q 1 PRO. 



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iv.Icomf. 

XVII. 



Jo« Partiil. Lib. VI 

PROPOSITIO XIX. PRAGMATIA XVI. 

Df40 Jffecuia plana ita ftatuere^vt intuensin vno 

deat imagtnem fuam venientemyin alte^ 
rorecedenum^ts^u 
CMffiftricM A Ccipc duo fpecula plana re^^angufa, & «qualia , quorum 
Ho^M^^^ loDgitudo fit latitudinidupla>autfesquJaltera,non quidcm 
&riee(fm neceflit^tis^fed con)moditatisgratii>namalioquininter longi. 
umdem. tudinem ac latitudinem potcft cflTe quxlibet proportio. Specola 
VidcF ^*^^ appofita Figura, ABCD,&fiBCF. H*ec lateribus (qis 
wAci^xC connedantur cardinibus aut vcrtebris , ut inftar libti 

aperiri 5c claudiqueant> & angulum quemcunque e^ece. Si 
jam fpccutum a b c o collocaveris horizoncl parallelum , (pe- 
culum vero £6 c f erexeris ad angulum redlum*) videbis vuU 
tum tuum in ucroque ipeculo. Si verofpeculum £^.c f ii^ 
clinaveris verfum fpeculum a ecd^ videbis eundem vuftuni 
tuum in unoaccedentem,in akero recedentem,donecpaulatifli J 
uterque vultus geminetur in utroque ipeculo , apparcantqut ^ 
quatuorvuItus^quorumduoacceduntyScduoreceauoty^fi olte- 
riiis inclinentur (pecula. Fada maiori inclinationc , duo vd- 
tusdifparent pcnitus,&duo aliicua£cuntur,quifimiliterutpri. 
mi moventur in viascontrarias^unus accedendo altcr rcce- 
dendo. Fada adhuc maiori inclinatione > iterum duo vukus: 
di(parent>acduodcnovorcna/cuntur,&moveotui ut priores» 
£xperirc>8c vidcbisTcrum eflcquoddico,. 

ANKOTATIO. 

^^O^ ep neceffmum^ vt di6td dutt (^ecuU conneBantur inter fem^ 
^ ^dinihmfeu vertebrHs ^fed p^cit vt vnum ftatuAturfetprd Mlterum^ 
C^paulatim mambus ad fe inviceminclinentur. Non requirititrde^ 
terminatd aUqua longitudoac UtitMdo ynec cer^a inter langituMnemac 
latitudinemfreportioyVt dixi^ tamen longmafuerint Ipecuky 
€% meUus erit. Siduap^ddiSlafpecuU erigantur amba perpetuHak' 

ritn 



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Magia Catoptrica. ^ jop 

wiierfiperptdmm horiT^niaU (ita JciLvtdualaterdy d c, c f, hori- 
z^nti wjiftent) pauUtim cUudantur& aperiantnr > ambo vultui 
vel accedunt ad fe invicem, vel rectdunt^ & paulatim degenerant in^ 
Huatuor^^ plkresy vt fipra etiamdiximus?ropof.\ i. \ 

PROPOSITIO XX.. PRAGMAIIA XVII. 

l^baaliaqHinlllegihUia Ugert injfieftdoi ^lano. 



pXdifiisCapitc praeccdientc P>opofit.8*.(?^fc^at^in (pcculiV^^j^ ^^^^ 
*-'pIanis dcxtFa apparcrcfiniftra,& finiflra apparicrc dcxtra.Ex^if,7,4i^^ 
quibus lcquitar,fi vcrba qusecunquc (cribas rcdo ordinc,in qua- 
cunquc lingua^caquc (pcculp plano opponas, ca en fpeculo appa»^^*''' 
Rreoci}Djnoinverra,cfi[cqueonnninoilIcgibiIta. tlt fi (cribas 
tocvcrbuhiiVE G E Ri apparcbit id in fpcculo ca rationc,qua in 
figura apparct. Si igitur vcrba quxcunquc, & in quacunquc 
L ^gua>in vcrfdordinc^fbriprcrisjUti vcrbum pracdidum fcriptum Vide Fig^. 
vidcs,& uti Typothccx characlercs proimprimcndls librisor.i v^Ico- 
dvnatefolcnt,itaut omninoillegibiliavidcantur, caquc/pccuIoni£xvii«. 
plano opponas . apparebunt ea redo ordine-,& finc;ulla difficuL 
• tate ic^tur. 

KomTs^ ciim efl^emftudiorumfociusP.AtBanafii Kirchcrv 
infigoisquidam Antiquarius,Torquatus Alcxandcrnomincquir 
multadido P.Kirchcro antiouitatis monumcnta ^gyptiac* 
ftiliafoi&^avirrmint quodam ai cura cxfamiliaribusunum^, 
cumchartnantiquiffimaTiburcin pcrvetu(lo quodam palatJQ» 
rcperta , cui inknptacrant vocabulaquasdamomnibus,quot^ 
orcliartam>vid'erant,iUcgibiIia.. Vixcbartaminmanusfum*- 
tiatP.Kirchcrus, cui tuncadftabam,cumlcgcrctfcrjpturami, 
lialteri lcgcndam tradcrct, fcd invcrfo ordine. FucraL 
clurtaiila fpeculb cuidam>expofita.antiqui*^ 
ttj5,6tdiclo modoconfcripta. 

^^sf^' QQ3J PRO^ 



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310 Paitis !• Liber VJ. 

PROPOSITrO XXL PRAGMATIA XVIH 

X)t quU homimm volantem conjpkiatioj^e duorum 
. . I^eculorum flanorum efficere. 

tpicukrum 13Roponit hanc Pragmatiam c%.Ptof0m£o\\\>.6. CatopLtbeor. 

fUn^mm l i.f7/<i(;^hb.5r,Optic.Propofit.y9. & alii ex ip(o :fed ita rem in. 

21^^'^: tricantatqucconfiindunt, utneque explicatio,ncqueconftru. 

umixhi^ £tio, nequc dcmonftratio cohzreant cum Prbpontione. Pro- 
ponunt cfEcgw^ ut quis fuam imaginem volantem iafpiciat,& 
<oacludunt eifn Vfderi ab alio. Cbnftrudio ac demonftratio 
<:umCatoptfiqs'principiis non congruit. Lege^Scconiidera 
jpf^s. £go rem propono ut vides tta procedo in conftrudio- 
oc>ac demdnftratione. 

Vide Fig. Fiat triangulum rc(^angulum a b c ; vel mclius , fit pavi- 

v.Iconii! mentumhorizontiparallelum cb, &murus ba infiftcnspa* 

^vii. vimento ad angulos rc6):os>atque in hoc pa vimento ac muro du- 
canturre^tas cb^ba, facientes angulum b redlum. Hts af- 
£ganturduo fpeculaplanamagna, de, & fg, pro rei cxigen- 
tiaabangulo b rcropta>quamcxieenttam dbcebitexperfen- 
da. Supra pavimentum bc confiftathomo h tantum cic' 
vatiis^utin fpcculo de vidcre pofilit & pedes t, Sccaput h, 
hoceft,(ctotum. Radient nuncpedes i in d, &:indcadao- 
gulumincidentiasanguioa?qualem refledanturin g,^ g vero 
jidadgtdumitcmasqualemhuicanguloinctdencfa^in k. Kadi- 
etprastcrcacaput h in e, Scindcin FV^pofteain k. Dico, 
fiin K conftituatur oculusividebit hominem hi m no, fed 
Inverfumjhabcntemfcilicetpedesin &capucin c. Quzrc 
fi homo H I haberct humeris fuis aias affixas , & movcret bri- 
ehiatnflttf volands»apparcr.ettsin no inftar lcariinai^rcvo* 
Jitans. 

"DEMONSTRATIQ. 

DCmittaturcntmcathctus u i c, Scproducatur vcrfiis m io 
dircdum. Apparcbitcr^opyncflum t, oculo coUocato io 



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5^agfa Catoptricai 

GjitJpundo Li &pundum h, oculo coilocato ih ^> appare* 
bitin M, ferPrafoJh.^.Pr£lufu Demitcancuriterum^puniSUs 
L & M, catheti ln, mo. Apparebitergooculo Kipunduni 
Giideft^pundum \y hbceA/pedes i, in pun^o n > &piici^ i 
Stnm F, hoc e(l , pundum hoc eft caput h> apparcbit 
cidfimoculo k in o. Quod vqlebam breviffimioftcndere. 

ANNOTATIO; 

Crirhngutum abc wvertatur.drhomo Bi Jit infraUtus CB, ' 
^dereliquafantvtaMehafpirehitfsin NO, habenspedesin iiy(^ 
cdputino. ^ " 

PaOPOSITIO XXII. PRAGMATFA XIX. 

Tlani Jj^ecptltauxiUg dirigerefilapeHum in metam 

poji titrgum pofitam^ 

CPccurumpIanumfit ab, jaculator cn, meta poff elus ter-s^^i^/s ^ 
"-^gum D, fclopetumhumerisjaculatorisimpofitum ef, ocu-/^%^«»» 
his jaculat6ris c. Meta d compareatintrafpeculamio k. Dr.^?'^'^ 
rigaturfclopetum £F itainmetam d, ut imaginespundorum ^^^^^' 
E & F, faocefti M & L, fintintrarpeculUmconftitutxin tas 
dem re^ hnea cum* pundo K3 eritque fclopetum dire&um 
TerAispundum d, itaut efd fint ineademredalinea. Ra* 
tioexdii^ispatet. 

PROPOSITia XXIIL PRAGMATIA feC ^ ' 

Dorptm ^ factem fuam fmul meodemf^etuloflar 

no nuidere. 

pAciliscftPragmatiasfitqueduorum planorum fpeculorum o^iuenU ^ 
^ pefic. Collocapofttergumtuuiiifpeculumplanum, &antc'^/*?^ 
factem tuanr>teneaiterum,adlatus aliquantulum declinansw Ap-** «^*»*^' 
parebit primo in fpeculo ante faciem tuantpofito ipfa Ricies^tua 
prop^ pofiu 'r deinde dorfum tuum h fpecuio poft tergum coUon 
cato reftedetur in fpeculum ante faciem tuam collacatam i teii- 

. tiiib 



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312 Partis I- Libcr VI. 

ti6 imago faciei tuasc fpeculoantefaciemcollocatorefedcdir 
in (pecuToro poft t«gun)€oUocatum,indequeicerum refiedccor 
In fpeculumante faclem tuam coliocatum, (ed apparebitobfcu* 
tior,&vaideremotaintra fpeculum. Bisergofaciem.tuamuDa 
cumdorfo id eodetn vldebis fpeculo. 

PROPOSITIO XXIV. PRAGMATIA XXI 

Chara^ertsmlocum proctddijfitum proijcere legeiu 
dos^ofe^cuUflani. 

DEkacreajgemusin^ra Lib<8.in Sccganographia catopcria 
quamviiUu 

SYNTAGMA M. 

'DeSpectdis fpharicis , tam convexis , quam 



concayu. 



" T Oog^ittlrabiHoresacprodkiisfiinilioresruqcpro^rietates 
•^acque dledos ^culorufn rph«ricorum»pr^rerciin concavo- 
yumiquimplanoruniydequibushadeous cradavimus, uci exre* 
quCDCibuftpacebic Majori«r£OQonrolumcura,fedeciamiD^ 
tiaodopercradandaruncquae tequuncur ; quod divina faveote 

fraciS pr«ftare,quaQCuin Ucueric pro iogenij cenuicace,cooabor. 
icergo 

C A P U T I. 

"^DfSpecul&rum /j^hsricorum divifioney m^i^niiudim, 
centro,eUametr9^aliisqi ad ea ^eSlanttbttt, 
\. 

SpteMiMm QVhstncVLTn fpeculum altud eft convezum , aliud concaTum. 
^huitum ^Cosvexum eft excerior alicuius fpbacrac fuperficies polKa & 
mUmdctm- ^cubtb» «cque^d refledendas rerum imaginesapca: aatf^ 
gmentoai quodcuoqi huiutoodi fpharricas convexae fuperficiei, 

® fivc 



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iMagardtaptrica: fij: 

DremtgQttmifiTeparrotTi* C6aca7umTex6efttecerfMra|jettftis t 

fpktrat intus cairar (uperficiespoliu ac fpecularis i iWt. (em/tny 

inodi^ecula quomodc^paretmir,fm 

xiiiMtsfupr^Parcei, PraeluC). . . t 

^omdcacfolenc clabMarlfpiMfviQ^ 
vexa , Qunquani ver6 in cpQQava , quoniam id fieri nequil) aut iii ' 
fierer^QuiluseorumefTecufus. Quareconvexafpeculafpha^rlca Vid. F|g, 
pkftunque^coQcava fenipcr^uQcfpbaerdrtim (egmenita^ioupor* vn-lco- 
tiooes a fphaeris abj^ijas» «otiuelabpraca^aC (i ^ fptv??i$ abfdil^^^ 
foreoc Sicappofiufigura AB (ph«ra,iQCuscava>&ucrimque 
fjpecularis : fi esc ea abfciQdalur fegmencum c auc £ etic u^ . 
mimque (pecuium fphasricuimcon vexumqiiidem qi|0a<Lruptt^ 
fickmMceriof«nn(iCuQQavttnAyer6qa . 

Maius fpeculum fphaericum^eam coQvexum > qu^m coQca- s^AiW> 
vumjeft>quod eft fegmefKum ma^oris fphjera^ s iniQus» quodmi- Jf^^rum^ 
Qoris)aK)uaie»quod.asquaIis. icaque magQicu4<>> parviusj^ ^rZTmZ^^^ 
^ quaiicasfpecuIoruflfifpbaeiriiiQrum noQ defumit.ur kff^gQifiy^4i^j€. 
Qe,parvicace , &aequalicacefegmencorum,fediiiiagmcud^^ 
parvicaceAaequalicacefph^rar|imjquarumfuQcfeghieQU.HiQC Vide Fig.' 
iiitKa5<^4eQCi Figura/egmeQca c d, ^ « fj conflicuiUQca^oalia 
fpecuiai quiafunceiufdem fphasraefegnMQUt licecuQiusaiQbi^^^^^ 
lus fic maior , qu^m alcerius , U uqQ plures gradus eiufdem fphac-t 
j»coQciofiar.qu4n(|.j4(^^^ £cqQcrariover6iiceciegaEie9tum 
maioris fpha^ras coQCiQcac pauclores gradusquim iegmeQCuri^ 
iplutra^ miooris , Mlud umen coofticuec fpeculum maius quitn 
Jioc AtQue iMec bepeQocanda fuQC Tyronibus ^ oc failaucun . , 
QiHHlmi}KisiC99(iqgit 

iir 

cft cencruni^C <3(iafii(J««r fphacrxcuias fii^tiHomeil. 1d 
cecUocifig9ra,Qe>gtceC}irpuD^uni <^ eflistionicdieirphacrc ab,^^^ ' 



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ff4 Attti» L Llbn .VI. 

Viae Fig.que ad «KtifMiitTplixne fo^eiiciein: Crit c cencrmnv ab 
▼iiJco- Ter6diameter,caiiirpecuN cd, qdUnfbecalt ef. lcaqueiba- 
ni£ xni. nieter ipccoli fj^tict ooBcari wm cftnoea abextteniuaabi> 

t»ade»t owiMt iBrf)teowftyt»in«iiomextepfe, ot aiiqaljpav 

peramfibiifnagtnantur. Hinc rcd^^i^ltb.^.OpiHcatdcaoit 

fpcNnriimi fphantcommaiosac 

■laiorTeltniaor. 

IV. : . 

- Ra(Iias&pi}odamidci<ieoct4,&reflexioni5>qutdiitiBi^ 
edfsfpluettds^cooftatexdid^ Phr. I. Pr«(of L 
: V. 
SfttiiUmm ' OithetttsiBcideotiaeiafpecuIis^k^rids. eftlinearc^, i 
jtktrictrg ptfndoradtaiAeperceQtramfpecoliduda. Cacbetuf reflexio- 
f^^^U^ oiseftlineareda,aboculopercencrttmipecoliduda. Haecn> 
<S> r^iMm. eaoir etiam diameter Tifuans. 

■ift" •■ ' J ■ VI. 

' Doeareda fpecuio fpbasrlco cootexd icqotdiftare diciotf, 
«■ qttar^lecond&meittspoiidummediumaeoUidiftaclioesatkjooii 
arcOffl circali nsa^i iUlos fpcculi fecundum mediam eius pa» 
. Aom cootingenti. 

vir. 

FiobcMtmgenda^didrar pofiAust abt altera 
fccatlifieam io punftoreflexiooisfpccuIumcoBtingenten 

Meta locotum iroaginkdidtttr punQum> vdlinea y xAtn 
quam fahago non ridetur* 
Yidc Kg. Promaiori explicationeeoramiqi» diximus» dt In appofica 
Yiiulco- Figura fpeculum concavum ab, cutuscentrum c» fcmi^'" 
BiLcvii. meter ca. Obiedum d> radietin &iiiderefle6atbt 
diusadanguIosaN]uaIesinocuI(im f« Eritreda p£ linea 
ddentia^» cp liftea refindonis» i pliifAum9n)lf<i»fltia:6c: 
fiexionis. Ducatursfbtoculo f, percentftitfi ic>^i<eftapCA) 
abobieAo n» adide^centmm c, re€^» loo.^^Be^ dc 
tbetosteddiBi^ti»» fc Ter&caibetusfeflaeionls>fttt 



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MagUi CatopcikSl sif^ 

Tiffiiaift. Prodocaiitorrcdis . c 8c r e# doneodfBdfmhit^ 

£rit G pooAuiaeottciirfoscithetiinckteacir Ac 
Hnioois. » - . .'1 • ii j 

^ StciteromfpcBMkiAcoiivexttin kii * coiuscentrom fe^VUc Vig^ 
midiameter KHtfeuKi. Obiedum l radietiii m# &iati«fx.kon£ 
refiedataeinfoculsm wv diicabturque rete it^Ktt^t^^oi^^^ 
hai uu nKbtisiQpdcjnci«>iiM radiusreflex^ cv^acbetu» 
inci^tix, N K cacbetusreftesion&^ np radiurrjcflekfowspnK 
duAasit concurreos cum cacheto incidentia^iopaiiAo'^/ > 

AiaNOTATIO/ 

COmcsw JfecmU fikdricM fkrifilent & cxtfUrsfiMcrMk t t^MmitUHc^^d 
wnfimrsdc^/ufpk. VtrMmt4i^^fimtm4f^^ 
fifgmrAmitnnitef$$ mt;hMhUitc§nf^ 

prm in B^jMnierffi VnivcrJuaieMMhemMinm Prtfefircekberrimmi 
$MUrifn^ mmM 4tlnernmfedum Bemmenfinmcnmdimidi§f$IUn^-L 
rhfix fedmn finmdumetfum hMbebmi. Hwmm vnnmbnhelP. Aebd^^ 
nnfim Knrchen^im KMnfinfi^j^vtrimefm folttnm dcfiernlare ^ tenv^ 
ftM cmfvfm & emcdvp^firvht. , In ijfilem cenfinentUt mmc exceK^ 
c^dieUmDeminmtMMfiredmSettdU^vtiexipfit^ 
reUrimitnikcmfiM^ ChMyheshdc fiecnUfiMleelglirei^tficimanrp 
idee^deterfi Aiqueexfeliriidentidemdebentvel fimmcdlanniecnm 
olent^vnlurrnirifeiitdnSi^vecmtinTtulid^ . 

CAPUT II. ; 

DenonnuHu JfectdiconfvextJ^hmcifrofrietd' 

DlUtfimas convexi fpeculi rpbxrici proprietacesalfert, 9,tqaeSf*etiii 
ptoiondrac ex Euclide, PtolemM, & K^lhtzeM^iFiteBf cocolr '^^'^j 
fo 6. Opcica; ; quas H hic referrcm ac demonftrarcfn omoes, in^^l^Mi» 
bmcDfumexcrercerechoccapuc. Quare Mucas folummodd*"- * 
Uiicabo,omiffif<le9PfiftratioDibus,pr«6rtimqufo -k 
lunM^ocabile circa dida fpeculadt^diiflB occnutii , pra^> 
liiapmiU^oniubus obvia. 

RR i Prim6 ' 



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fardt r LUj. Vt 

IHTffi^niScrar r M convexis fpcco^ 
tCiCoaotk: £ciingoiiisra(p^cdiinappmiiwi^ 
culi roperficiequamafpeAabiU:taQc6queminbrapparct»qiMiiU 
' i * tdmiiHiseftj(peculum}tafit6ver6mmor>q^^ 
.'i*' . •f^opioqutMslpccula: . 

« I V / c iSc|^i&46, AlciciKfiiies &; proiuodicatts perpendccobtiteriD^i 
fndMfCca^pccub&lphasHciscoiiye» 

mm; YM^ ioftgtcuaiaum kdokt appareoft dtifkofica Himcli^i^^ 
' tionemQtHiCfftorum;; . f : . - 

Tercio ipecups/pfusricis CQO vexisiib 
nes appareptconvex^ (eu tufva^x coqucVonVcxiorcs^quafpc- 

r/<^ct6^f Lcc9f i^ coo'iK^ 
yutp^^ukrabaiiciq^ ita ooncurfo KneaBi refltlNoBi» tumcMlM^ 
«u:ideiicia^. ijf Stewm in occurfti ac^ocukifYf Kflex^ \sum 
litiea i^da perpeodiculari ^v^iibiii doOft^ ftipd^Kmttm <Ntfmm- 
girQfeAfpeculf&ipcrficiem itopun^o reikxiomsiqu^perpecidi' 
cukfis ^ii^pergit a^icenc rum fph^sccuhis potctor^pdccdunveifiU 
ftit: Kiffitfwi ^um€omminift?icu^>k>cfim. jEgo cum^ sm«Ek|ofe 
iimcio« . • 

\ <^iifit6,frerlpoceft,iJCeadcmres^>eAecur perquc^ 
milAeQ&vexa certo modo dirpofita. 

Sexc6s Afuperficie/pfecorif^amtfconvexi ex.dfver&tfbpM^ 
£creba$rpba:rarum cptnpoiltaiiaiagines rcHcxa? apparcotmoQ^ 
ftruofx. enim*aiVerfirum (upe^|id4^ rpb2tricaram<& 
verfa fintcentra, $c locus imag|nts^cUiuscunque pundificioitai. 
tbetb rncidcncias dude a^mn&o vifo ad qencrum ipecolt $ tiece^ 
feri6 fcqpicur^clf vei^fllfHfji^^ 
V «.^fiMgmesi iii«c»6nuaq3undofiftmiburd^nn procrabi io 

• *4i^*fr*spartt^,acpromd^ 

%>^, '! ii\ , $c|^Cim6»Radijab obiccla lucido vel^iotoratoprocedente;! 
j^hdtm Phajnomena fpcculi Gonvexivut|^tnftnc,at^utlbra 5 mter 



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f^gif Cito{)trfcstT »7 

rei))M£<^rta9 ex^ltefu(p«i\iias» & vkiebismcra^obumtotius 
q£dQ« cHmrebus ia ea c.ontea|i$ cofppe«idlbfn« $i horta.va«- 
rjuarbof ibmi ^ ftocibns c^cdiQ.i^ yel in arca alicuius rhagpifici 
palacij>aurinforoipleRdidis aedibus iriftVu^ko , idenD/pecuUsni 
teriolQCQC^ftiwum iQfpicias > viddbt9 fynopfiai omnium obr 
i«^jriimci|cumpp(it;0rttfii, miioNatttr^cOfnpeiitdiQjincra glo* 

ii Sfiib«ficicwvi^»i Q>eculi in (ol^fMtm^sm eLibor^Pi 
pe»y^a*ows»i<| Hircania Tjgridun^ 

(iOmjbtMm^t^ali^ c^asulosabriperes matruro infequeb:i gridis^im^ 
t#im#^bafciutc^ dociPt i^j4mh^¥a\ib.^, Hcxaraeroni5^»^»V ^ 
ap.4.6L^^lSertu^^J^^ A.owallbuscra^. irCZ^^A 

Vcnator equo pcyiic^m6^Xcdusob/eryacTigridisc%elunca, 
ubi caculos nutri(>kgrdflum ad pif^uiiji furtipitibaculos omnes,8c 
fogicsTjgris revcrfa , & yacpum ra^ca^fobolis cubilcinveniens, 
illicd vc w|its rapcoris infiftic,odort eatulorum cdoda viam; Vc- 
nator appropm^iMntem f^ran animadtertens , /phasram vitrca 
Cf^aodMimpnmat^i^ iuaimin ea^imaginemr , 

exigjtiam.tameo> puoiii c^atuk)ium;iiW3m:miriicufDdclitcrcere-, 
adblaQi:bti^ergQCf^tulocaeotmico^ftringic!ampIexu>of^ ' " 

caQdemqiieladatura catqlum ^hasram rumpit; Hic dclufam (« 
icatieeis toa^^iCcfumtnkqpitur venatot^m , qui ali^ fphasra vU 
ccea pr0iCi£t^iSQ(itm fii4>^hj|itery tlhidit> dontcnavim cpQ«i 
kcmds^f $iiit^tuturtievgfidat)pimm VenatQf. 

SiiirriciffDarcereasCQi^vexi. fpeculi ope tnira aquam icmct^sp0c»ik 
aliqiiiaBftivis^menfrbus «aniculam intcrdiu cxhibere fp pmznt^^^J^J; 
]irope/olQHii^exi(leatem. Ac falluntun non cnim canicula eft,fed^7^;^^ 
iQli«««ieg»i3QQvexitace fpeculi ad (Idlar.parvitatem conirada»/^^/i<r 
£(^6md«) ad <ap«rficIen»aquarinfitttaiQn^^ 
renf» MufUJ jrei afgUmetum primurn eft: , quod planis fpeQulk hoc; 
phafinaexhibcrinon poffic aicerum } quod (olisfiguracant^ap**' 
parfatrniQor» quanco^minorisfphaeFx portio fpeculum&crir; 
<ftEqu|iUjq|>4<U4 tmago iUaboreaiis appareat ia 



cmii^ 



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jift Panml Ltber VI. 

cxlo>cbmtameii caniculaoicra ^quacorefH AdftnfmteffiSeK: 
currac. Noo crgocantculx imago eftquas in(pe<-uloapparet) fih 
1» veroquat ici aqdUndnt^ue foHs eft imigo , qu;emator io «. 
quaapparet(^4m iti fpcculo convexo, -quoniamaqd»fupctfi* 
ck^ extima pl&ni ^eculivicemgerit, qtrodreramimagiQeiire- 
6exi«xhibet fob eMefR mignitudine , lafoqtia apparencdirtdi 
ribt. Acce(fitqu644dffflpha;nomenoo aeclditad Ivmeii Lae^, 
& etiam candelxi pofito enina fpeculo convexo Oibsqiii^xttt 
- Ltfitom ap{par6tem in Vqua> app^ret qiiad ftdllaifi fpeccilo* Idem 
dtcdie caiNlela imagf ae. JU^m«y BMcc^n, & CtrdMHh putan 
dUlam experietetiamfierlxumfpecttloplaao , di^attftBCmde 
eotHio^t, uc iivfpecolo miiiorappareacimago,quikmin«qiu* 
8edfiruilra<efakrgaiic,cikmfaUttmrUppooabc . ' >^ 

r:. CA T III, ■': 

frodigfofis comavi f^eculijphdrici frofrie- 

iftcitu Vl IrabibaftiDC, & omBiDoprodigiofopiunion)emifea<»pft> 
jfWi» -^*-* rcncix%ecirionmic«iicavoriimfphflerlconim-i «ninKNlet 
•Ammwm eflfc«aus>&prorfiisMagid,quieorumopeexGatppcnca«rtea' 
hiberlpoflunt. Qaidenimniirabilius,qa^mdidonnnfpecido> 
•<>-«• rum ope calorem & frigusprodiscere^ Igaemqueaocea^ead* 
eb^ftlfd^» ocaoo ftuppam loiitnmc pumrem pyciarocombuit» 
re,fed aurum eciam,argencam^6c qaodvisahud meuliumhqoe' 
fa<i^bquesttfqufd prodipiofim»magi5,qiiAm idirfomrei ^pccolij 

Srdcdi^is obiedae, & oulUbi ectam vifas^iiKi£re fiifpenranuno»' 
:raref qufd magis Magicam,qdim ea repraEientarcomoia , qM 
in (eqliencibus non fioe ftdporelegesf De hf«ergoph«OonK»i>i 
acqoe «fiedibusc, hoc caplteagemus,omifiotamen prinioati v«> 
lutpdncipaliefiedujuftione, dequam pecoliari fyota^haiea* 
gemttspoftea. 

Suppooo autem hk emoia tlla,qaae fupr4 Par.i.Praeluf 
dixt de Speculis io communi , praelert^m PropofioJMiw),&4. (lu» 
eoimpr«cipuafundaraeocadiceBdorum. 



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/Magia CatoptriGu ji^ 

SappoDO pneterea multx^tue EucIide^iUbaz^>& ex utro- 
que Vitelh) cura aliis dcmomtrant de fpeculorum concav9fum 
Iphasricorom proprtentibusi quarutn tamenDoonuIIas faKaaV 
ilucer^, ac fiiDiiide dqnohftraretioti ^Tabop, ia^^rain gr»> 
damyqui Euclideis ElemeDd&iiintimbiitL 

ARTICULUS L 

Prcprktatcs fcu Ph«nomcnaSpec2ulori«ii 
cbQcavorum fphxriconim. 

Propbntio l Phamotrieniim V 

OhjeBo radiante eonfittuto in centro j^ecidi > omnes 
radif in ^eculum cadentes y refeSlmtur in 
fiiffis, 

O l^«u>eft ,qofa omoes radii ^ccsitro ioAiperficiemlpecuIi ca^ 
^ j|igwlti»aifitDtyob iaaturao^radiorum, & p^rpgndtcolareg 
Unm m^iBi incidebti£ taogeotibus, feriZ. teriif': & defimt. 9. 
Wniiyjytr,! jdeoquc io feipfos xz^e€tunVixt^erPrefffx»Prdkpu 
P4r*,^, , . 

^4CO RO L L A R I IIM. . n 

^jSptmr hhc UcuUmUeenfi^ci^ftitf^^ 

r^ttreacjue nihi\. Imoji totumj 

ibUif^eoifttucfisfrdfirJuHfff acuhfftvidereppffetfquiauidefff^^fjp^^r^tf 
'ttmdifni^firfffMn^em^ , ^i/T^ 

Locuhextra cetrum <^^ripttutamnMM^ ^ 
' iXtmSitutuffj , quia nuQHsrtcdim f^J^^-^^ -^- ' ' ' * 
lufft^redofnnes mcentrutm. - 



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B2t3 PawU I. Lib. VI. 

Propofitio II. /Pl^nohiehum II. 
iivterqne oculHs in diametro tranfverfa Jpeculi it4 
tonfiitHa(tur^fja£qualiter^tent^^^ cUfient^mHter 
fiiffum , Jed aiter alterum 
cern^m * 

Viole Fig.lNconcavofpecuIo abc, difteQtiDdiametrotranrverfa ac. 

9i£. xvii. Iq b> rcfledetur iode in Fi quoniam anguli eb D,FBo,kqaa- 
les(uQt>^rr 5*^/. neuter ergo feipfumy fed ufiQsalte^imi videt 

Propofitio 11 L Phxnoxneaum Ili. 
Loctis imaginis rerum a fpecfila r^ex^rum qu^ 
doque eBin tpfo punMo'refleicm^ 

j^eculum ^i^uandoque inter n/ifim ^^^mi^um^ 
quandoque in fuferfcie iffius ^ijm^ quan^ 

T^JEc omnia fequuntilr ex Pfopofit 4» Prarluf 1. Par.i. ubi de- 
*^ monftrayiijpus cum anti<|^ quplibet fbcculorcra vifam 
apparcreincontuVfa^atiii^^ 

perpundumreflexionis* Cum igicur concurfus iftc cootfogc- 
re pofllt in omnibifs didis locis , pro varia ob|cdi & ocuU couo^ 
fC ..^ -^catiQQCi patet in omnibm ilUsapparere pofle irnaginem. 1 
moQftratidae^ vide apdd Vicelloneii$1iD. % bpticib PropoC i L f 
\fi(kFig. Sitinappontofchematefpeculum bc, cuiuscentrum A.f 
xukQXMC^SitprimoobjeAumin radiansin indeque refleclaturin 
oculum f. pucatiircachecusincidentixabobjecloD adcc^ 
' tTUiri A> ^ l^r^d^.^t^ '^^^SI 
reflexionis fe, donecbccijrratcath^ Gi Ttfrffci^ 

locus imaginis objedi d in g, ultri Ipecultim. Semper au* 
cem obje<2um apparebit ulti:aJpQ(ulurri>quamdiu ipfuro eric^ 
ter centrum & fuperficieffl^^ 1 ^ 

^entffim* 




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M9giaCaiO|$tfiai« , 
Sicfeciio^^objeaufninL^ radiet^uelQ •. & Hi4eioocu- 
lum f.. Oucacur catbetus la, occwrens radio reflexioais 
Fi,in eric crgo locus in>aginis Qhjc<ai l in p, #nte 
colum. Si approptDquec objeaum ycrfiis fpeculum, & ponacur 
in K, eritlocusimagtttisin a Siadbucmji^isappfopinquet; 
& fit in H, eric locus unagitiis io . Si in o ponatur ob- 
jedam,ericinugoin iptooculo f. Si to «A {i9iiiiMlir<)i^icfl|tt(K 
ericlocastmagintsin & recrooculum. > < * 

lnfupctfciefpcculi,v.g.inpunao i. app«i:fbiftH««#ftol^ 
jedi,quaaao radiusreHexioois erit Mr;AI^4 ^a4mi#«fici^enH 
ti«» uti demooftrac f^*t*ff*^ocxit.9iPct(pidn!^ii<imfmimAm* 
dor lib X Propofic.3p. £c iioc eft peculiareipeculofparH^ coo^ 
caYO,<|aMl imago poflic eile excra coacorfmn r»(&EWR inci* 
dcQtiaeScreflecioois» 

Propoiki« 1 V, Pbaenomenum I V. ' 

iJifm objeUum poteH in f^ecdo h^thare du^t^ tret^ \ 
quatuor imagines. 
r^Emonftrathocr//r^£>lib.8. Qpcicx Propofic.i5,j,<f4p^(S{ 4,, 
*^cx,AlhAzen0fiL exntroque AuaorPerrpcdiv^comTOunislib. 
i.Propofit4tf 47 &48. R.aciocft,quiappSeftiucqllQcariobjc, 
aam& oculus,utiplurihmpunaisfp9i3tf|4»^ oc», 
lon». Praxindabimusinfri. 

PropofitioV. Pbamomenum V. 

Jn fifenUs coneafuu fihjtridt res aUeptanio 

rent confitse d»hie, 

13 Ado cft > quia io hls fpcculis res aliquaodo appareot In pculo» 
**velrecrooculum,ucdiaomPropofic.3.quod^^oifit, qfpc^ 
(ari6confi]s& acdubi^ apparcoc, quonian;i opuUu natofaliiorpjr 
hil diftioae vidct, nifiqnodaocevifum d]tj>QfiQiiD,utMtetfi 
diaisliba.Praeluf.i.x.&3. 

SS 

Pr«. 



ftz Partif !• Libcr VI. 

* ' ^r<5po!itfo VI Phxnomenutn Vt 

h JfecuHs concavu Jphdricu imago aliquando af f 

. ^aret fiqisalu ohje£lo , aliquando ma^orx 
i 4. aliquando mmor. / 

INpbois fpecubs iMaga fempcr eft arqtialis objedo , m conTe- 
'xis fcmper minor objeAo Jn cobcavis aliqoaDdo maior» ali^ 
^fiando miQor>aIiqQaddoa;qualts. Id pianis qordcmipeculis 
imago (emp^r eft a^qualis objcdo>quia cattieci incidentia: extte^ 
HMcacum dbjedr^fbut idtcf fc parallcli >ut pJitct ex didisibpdr 
Par.i.Cap.i.Propofit;6.7.&l5. lncontexlsapparctminpr,qufi 
didi catiieti convcrgunt , & tn ccncro fpcculi codcuftiA)fe. Id 
concavisapparctaliquandomaioruiliquandomifior,alfqtkando 
acqualis, quia.dj^i catheti varii fehabent, &nuo(;^uidcmpa^ 
ralleh (unt,nunc convcrgjunt,nunc di vcrgcnt. Dcmonftcatio- 
nem vide a^d r/iir/SiiMr^ lib. 8. Propofit. 46.& fcqq^ 
cMhm Quando ieitur conftituti erimus intcr centrum & (bpcrfid* 
$n»$cuU em fpeculi > vtdcbimus imaginem noftram maiorcm nobis vti 
§Uf$f0 qisant6magisjl(uperficievcr(uscencrumreccdcmus,tant6fMr 
gis crefi^ct tmago iu>ftra , critquc fcmper incri^fpcculTprofiiodl- 
s^ttMU^M- tatem,fcu recrofpecuhim : quando veroad ccntrum peryeoeti. 



-^^^ mus,confundeturimago,6ceverti incipict, necquidquamprx* 
^^Zkmi- ttt ocuJum ooftrum videbimusr quando dcniqucit centro ettam 
Mit4ffMr.Teirocedemui>i€erum appar^bk rmago;ma|na quidcm, feci 
cverfa,&extrafpecuium»&quant6 magls rctroccfierimus,e6 
fllfigis.dicnicHiettn-imago^donec fiat pritm) arquahs nobis, pbftes 
v«rominor,fempcrtamcocvcria>caf ice deorfum^pedibusfui- 
fiimtendeotibus. 

_ F Ut vcr6'mcfiisratelligatur, quomocb pofitoobjcdlointcr 
"^l^^fpetlrti ccotrunr&fuperficicm^marorappcreatimagoquamob- 
jJi^^^jj, eik-hoc cafti- hidicrom fierl potcft,dc aliis.} pracct 

Mm^bf evker e)<p}ickiret|Tadcnti:dtagrammaterto quo/))ccuIum 
fit AB^ ceturttmfpcculi CAj&ciesintucntis d.£, ocuAisf. Ra- 



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Ma^ Catdptrfei. 

dietigxwreMmcmim t> ia g, &uu(crdleftaciir4DP; eactre* 
mam ?cr6 £ raaier in 8c inde refledacur in f. Oucan* 
for deorq} catheti incidencix c c £> & prodbcancur yerfus 
1 8c K: radiilcemreflexi fo,fh> producanturverrus i&Kt 
doflccoccurranccaclictisin i 6c ic> &fiacred;i iK. Ericigt- 
tur ic imagoobjedi o£, loog^tproobjedomaior. 

Propofitio VIL Phaenomenum VII. 

/7 coft/u Jpecidis ljtharicUoaUitHdtnes(3tfrof»n 

USy auquando apparefft everfa , aliquando rc/ero ^r 

re iffi fi halmtt. 

Cl (peculumconcavumfphafcricum jaceatinplanolibriz6taIit 
^iu ac coocayius furlum vergat> & in eodem planoeredum fic 
Dcrpendicurariterobjedum quodcunque, v.g.virga; dicecuru* 
leooje^um refpedufpcculialcirudofeufublimicajzfi ?er6idem 
/peciilumlicelevatum fupraplanum borizonules iuuc conca^ 
vicas deorfum ?ergdt,& in eodtempIanoereAurafit obje&um 
^etpndicolaricer *> dicetur tale ohjcdum ttfpc&H (pdcuU Pro« 
fbimus. Dico igicur^d idas alti tudioes &: profunditates fD fpfe. ^ 
culisplaniiatque convexis remper apjparereeverras} m conca- 
visuiiieoaliquando ever&,aliquanaoeret^^(euinprop{to 
tu ajMiareoc. Quibns autem panbus alierucrum conciiBgac jid«- 
monltrac EMcUdes in Catoptn Propofir. 1 L & FiteB^ Ubr«Sr Optlc» 
Propoiic^x. 

Propofkio V 11 L PhaBnomcnum V 1 1 1, 
bt canfis ^ecniie ffharicis^ obtiq$ea longitudihefmtra 
concttrpifH radiotur» pofitay dppar^nt ht 
fi$nt'^qiueaMemextraconciirfiimfHnt^ 

trterfie affarent. ' r 

DEmonlbac hoc JEirriri^/iniw CatQptrtcaPi^^ 
vide. 

a Pro- 



^ Ftocii i Xibcr Vr. 

iiutmm X Uin dtitudo cjuam iat/tudo faciei erit 
erterpt^ fimulacrMmfm ^^ai^kit wter fiuiem 
IfeculMmt eo mimitti fu^ft^ fui-- , 
rit d Ifeculo remomr^ 

t> Atctexperiient7a»Sc demonllraturab EiicUde\o.t^^toffix^ 
StautefttocoUlint fntra dian>etruro,,hoc-eft , ieter ccDr-— ^ 
&fiiperfkiemfpccuIr>imBgftfn:i» apparet ut ia plaius& 
/veJci&fpcaufiiq/iQadiiau^ledmakirqjpd^ 

PtopofitiaX. Pkamomenone X,. 
Jtt cmcavtit J^mti^ «hpiEaapfwrentGm- 

t»fittn>^*' -'^ ^i^titi iapetficiQfnt;€(Mdcetiip>appatet c«m 

jf]^*^ lttttt&. ftattOfatitemeft/qwamdW^es^^wcttli^ 

SIIJI^^ ^tofylMias^qdfaikiiMe^itim ^ecdii;i^ltaoqu«<a(bjea« f>ai 
lila^gifits vdaE ,|»c^iit appacttt»dmi]^^ 
•ir«tt^«iiEiotiift. ' 

Pr<^o&io XI. PtianuiaieQon XL . ' . > 

J^ecuH^ 





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,Magia'Cat<|ptri<i^ j^ZjT 

FJlOPpSITIO Xff. PkA/^M ATM ; ^*^»"- 
Ttm^um mcen[tonUy& in*6erJtonit im^ifAm^' 

C4 X diftis, &cexperienci2 con)lat;!iii^rteireitii»p(>^e (pecu- 
^JamcooCavun»(ph«iicumpQiiicaruni4pparerere^slcia fi- ^jj^^fg^ - 

iXbli obwf^i^ rpecu)uii?i,ba*crw«.cp^^^^^^^ ^e^^»* imfth 

fpecuIocoDcavo pun^urnaliquod,feurocvs«fnquii3i1;iverfibfiti««^ " 
Sl eciam locu£ rn quo incenfio tit. Quod q^idem fecundum^^f*' 
.yuiidumpoo^^fl: cemrufjip. fpeculi ,( utali^r' perperam exif^ 
Tnanc)red efbfpcpcxeocrMim Sc fuperficiemTpticuli, utprobabl 



masbbto feq. ubf4^v^fM^j(j3ecuIi«age^ 
^'eculjs (^clum incexifionis piKK^um nabeieAhae^Wffi^^lb^ 
di/?anc/am,led in vatiisvariam,provfiriafpe;culorummafi^^> 
dine a c pa r vicate» ^un^um ver6 ioverfionis eft iplu|nill(Mri^ 
ii ceotfum. - , -, .. . . ..' ^ , , , ; 

'nfumroli,alceffv^iiiimtni', &uh^-^^pi;a,^pecuto tdk^ 
ire videhis^ in apicem coni radiofi» . U>i erlc punifluin 
Vidcbis aucem radio&coi^uncesiiibYiemefacil^» 
^proptecaerem^ etafituii^^iillpi^i^ yi^fhiz 
idfieri difficulter, proptec acrem);ariorem : & tunc ruppbne fp^ 
riiio ?as aquacalidaplejtMW«4«iV^gp^ih^n^ 
iftli. vel ccaflam ek o^fl|v«xK4^imd^lOT^ 
P||iti|aQdo panaum ^A^cM^^CQi^QjQ^lp pul ver^m ^ .ucflncir^c^ 



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32« Psir^i l: Liber VI. 

Vide Fis lotcrfionis^ pottdum. » fia c^ccuin fpeculi Ica^ inTenles. 
Miilqji* Gkitrcam exfcu>4p arcum , ^lonec f pcculi caTit^t i adaiwHBm 

' A B, B c, divide illas bifortttrcio r t»^ ? x his puoais cduc per- 
■ peodiculvcs V/, </. Eritpunaurn/, in quo coiiuoc perpcodl. 
cularcs, cfeiit^imi (ptfcdl,fl6c cft, tantum diftatic ccotrum fpe. 
c^Jl&p^r^t^f onwva,quaofu^iIbtpu.ncluni/^^ arcu 

pRopasiTip 4c w i 'p^^mj.iA II. 

! ' Qmm^i^aiora JpecHhconcavp^hxrtco 
' ..J • - '/•(•' igxhfhtrt. •r.",.. . 

/^oiloca facfem tuam propefpeduli fupcrficiem ,&videb4^ 
|Ei Veam vcf^majgt^&quanj^^ 
ttiHWur > ficie vcrfi4scentraffr;fet)t6 appifWfiMdrfft'^^»^ in ingeo- 
SSSr tcm Bacchi faciMiixcrcfcet , totamc^ue fpeculi fuperficrefWA 
lIEri! • cupabit. IdeiTi.viBcbis contingere, h ahud qupdcuoqucoyi 
flnmfpeculo opDoiucriSv8c digittf hi iti Bfii^^jiiftdfii^dfnefn e* 
'iScr<(aonrpfeM atti 
geritinvcrfionislb'cuTh, fcrnpererccflumapparcbit: circa^evet* 
nonlslocumcorifimdcturpcnitusobicdiimago.utdifccrnliion 
^offif. poft cvtftMlif^lSfthapparet^ (Sidecrefcit ab 

reccdcndo. " ' ' " ' 

Si fpcculum vcrticahtcr cngas fuora planum honiontale , 
immtm Scantefpcculum expHcesin dido^laiiblibrum.autcharcam.ec. 
$xiM*r* * jj^j^ minutiflimis charaaeribus fcrfptam , expafMMilir charta itt 
tra fpeculum ad longifTimum fpatium , fcmpcrque fnagis dilata. 
j^hsrict bitur inftar quadrati autparallelogrammi oblongi opticij litceri 
€*mt»v0. -'^.p^ j cf cfcentjirtiMTOVWW ferfecral 
"im(WP^i^enti 'In^feiJxtaniHhfonth^tteraintra-fpeculum ,a 
"^QOiidip«cfituapp4rientjn.charta,'quo typographicos char^ 
Aeres componunt typotbetz : unde fi huiusmodi charat^ecd 
compofiU^^^ 

cciit^, Sidi^oIeoliqbWlMlkcer^^ 



reani 



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Magi»Gitoptricii; ^ ^%7: 

fcaott&chaitamioverfam^quapart^tramparcfiitlitccrx^ jdm 
Jpexpooas ut dickum> redp ordmc appar^bunt in illo iCc Icgipo- 

Sj prartf r ^pto^c^vum ipccuium j^mij^as..^^ planum , 6- 
meslic«er;^eti^ minuciinma^,(Inci^^ 
arte. Pcdoci tuo applica fpeculumcoQC#ivum> utdorrumfpc- 
cqU pe^u& lefpiciari ante fpe^ulum^cf^ 
mqnalifteras funtfcripCjae c!^t^^\9}^ 
leiiHCopcavalpecuio oppQ^eipeci^i^JPf^ ^£j^u.mtHt fit intcr 
atraciique : 4iftery ccpi^c^VQkio l^fi)^ ^^J^^cn^urordineac 
Iiturcdo^&roiruminm6dum.auda^ /^* \; 

PROPOSITiO XIV; PRAOMATIA 111. 

pRoponcionej. prarcedente dixi.mu^,lQcam4magiBisin fpecu^ GUHur 

^ liscavts^haerictseOcialiquaadPilotc/peculum» & qui^^rn^ ^j^^ 

fiuncantcoculum ^nunc in ipfo^<^irQt}Aqjetro;$^ulumr ^!!^ 

lK)cplwnomc»odf^ttci.p5fluntj>liiriii^|^ 

numer^ //?eAacuIa,partjm jucundaVpartim ctiam' tcrriftca' Nam 

giadiam aiit pugiodem onponas /pcCttlo>yi4ehis ^fpccujlff^ 
tinus eruropcre aliiunglaflium cu^pidc fuo (ui gladi; cufpidem» 
^mo 8c manum tuam tahgentem : U fi caput fpedator rpc€ul6 
propiusadmoverit, phjntaflicusgladiusocufos ipfiusfcnr'^^ 
lcbftur,non fine hoixorc^fiartisfi Sifcypfcum vitreurn ^*** • 

bmnas fpccuIo,o!?Pllrtn Babiebii alrurrtVi^^rcuHi feypbum c fpe^ ' 
|(Kjfmergcntcm,fedinve tuumaHiifet fBBiMRI,Sriid^ 

rnfamcandelamopponas, candclam vidcbis in ^crc pcndcn- .-^ . 
im , & acccnfsntV , ca mc^uc tangcs fine l«fjohf*i P. Atlianafius 
tir(^ficrw aritc fpcctif utti ft«rm rtiaStfftwJ^t***^ fabri* 
'j^^lfrn fiiiflc fupradixrXap.I.in AiincffJufpc«JferatflratuamniK 
ifn pucn] E s u e ccra candida, rcrfinverfamy capite dcorfum 
Ue^am^ Machinaaliqua Hydrauliclnonprocula/pe^ 



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^^j^^^ ^tifpidentes c longinquo ftatuunculamoon vidercntjed (blura 
jc^dfc^ eius Imfmpem ante fpeculum iq aerelufpeoiam, & quidemere-» 
mtf9^€^ ^am,&! yahf e a fpccuio rcmotarri. Coflocaycrit prartercaantc 
^eculum marmorcam colttmQiiiafm,cum ia|pide t(tdeiii 
marmoreo plaoo lupcrpofico.dcqtiidcffl coloc6,fo<]uoiinago 
icijncutar qe^eai j^determioato fpatioapparcbat harrcrc foai^rc. 
loije fiebat, utdi^aimago ^fpecoloegredicos (upracolumno- 
lamrecoUocare»&fbidem Uodev)iiil- 



Qrefccbat (lupor> poftquimadyertebaot fpcdatorcs , cacoptri- 
ctun id «ffi^rpcidraiit^ )iec«llibl tameo ftsmiam ? eram reperie' 
baot diu drcunsrpicteodo uodique quxiium. Taoto autcro 
mclius fa^c phafniiata cxhibf^otur,quaQt6 matoraiiioc c(l,n)a- 
ff^aera: pottiooes iueriot fpectila. Ohieda multis modis 
] ' . ' abfcoodf pomiot) oeyIdesmtiir> & fola imago apparcat ; quos 
^ ; hioddialkiftimlBduftria:rtAtaqua 



. t^KOPaSltlO XV. PRAG^yiATIA IV. 



^ff*'^ <tQB«»riUs|>$rrti«|CiHiirorefi}lpa^ DetodeftactiehiofninemiD- 
1»^!»^ ip«a4Mm 1 9c eccevideois , liccifijciasexlpcodeterfnlittto 
M^*, iUtUCf^4i>vifi^l|KiDip^u^rQcj^d4nc>homiaein 

^ain»|%>44;>i>f deorltipn v ergeotc Qu6dfi miiio 

^oilaicoocara ic^i;cKi<^^i!ip cubiculi conjuogeres>ttC juiafl) 
inaxinsam cpocayiu^^ni emeercoti certe fioe ouigDo (ttffon 
^^rroreAenio4ptale<i:^(uilMin|pgredipoflets Tidereteiiia> 
feqoilibeiipacNrefiirpspiyfif.. . ' 





PRO 



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do iocroinicieo4i. Tpc^.e; rernpa .qoariMftlibec ia l9&!lfeMyifi *'<*'>* 
locum pc^oramcD cxieuum lcqt^ctyfbllipi myim oi tJfcL 

11 aliud addibfca^drtfrHftfdiW, tirijmiinigtd^^ip^^c omncs^!!!!!^ 
io?^dx»ticibiac9a.dixifl)us; ubtqti^QBn^doMfaqtkofn^ica^^^ 
mus cas crigen<)i. £a;dcni inverraelpccics fioc tila ^ifficulcate 
erigi polTunc ope fpcculi concayi f][)baerici,pra;rercim magni. Si 
eoirefbriHnioiopfiooacikfpccuIoai-fUc/peciesrctum / 
Cae»(A^pmitLktoi9itautn^ d6oecdc4)tcra 
puodktimererfiooisradpiircbuncimagiaetibniqef itrfpec^tb^ ■ 

re£hM)d«aocea/dum4}ecokimforafiri&l>proftkDi^aiat»piilt| ' 
yerfxetiamapparcbanc. . * 

fjfmttt sntmm Aj>iario 7.Progyinoaf.i. Propofic^< & ulcl ttttiiu 



* MM 




aa«ioociOi:Pr9aff «.•...™,„„^i.,;^* „ 

tiim(qaodip(e vulteOe hypetboliforffie» horilhfigiirae pupillnr'-/'/*^ ' 

»mtit0*Miim{&Wi»ifit^^ &9P$fUs f^errliflt^tftrj^ 
cnbum, iu3^eaquaediccmusLibrofcqu.Cap.£. PropoliLii^bi 

Mw ^ ievaiittfi mimmut mit ^0bkqinu^^uftt»0itmtlHtMtlei 
rerm»/mmUAw»ffdtimi^h^m k^r*mimfgri*tif^ fim^vlUimfet^ 
mgmtifi^ fm»£btmiieemiriik«re£Ut^i» fetftagffeeiHgrafbiA. 

. A|>paiieuR«ofi9£k6»fiietdatim 
tuntkiuflaplwc^ Si«BiiB(jGm oppooitur vitroiaeibi^aMijl 

•u-;i-3n)j9jl--' ■ --TTo.o-f •'<--' »"dket6lii^ / 



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4ired^Vtiritij(pecuH'f!b in axtf c^onoram facfio(onmr> proiicii^ 

kurabjtur. $i y^r6 okliqiietur fpecuIuiiH 
ioaxedidorum conqrumi qudmo«tocrgo radij cTpcculo rcflc» 
- AtftAiifiidtedcram€pbcttlii^&^ 
* ' liinMq^idemconcimagtneisinf^^ 

S ^<MiilO( coQdaW. Ipbaurioo SoM dite&c.oppofico xadfoat exc^ 
Sl*!^)»^ p:Pimlcarefk<^»Q«()ttciDcoocuribintoiMit,ittnoard^ 
amfiuH. 4p4>eiHi.t«»a«prodcica«urt .certem oft«6£.ootum jamanittiba& 
hemtmn. (^o^^iM.^uone^fliiCxpkcabtmos fiueio6i>Cttm deCaufticit 
fpeculisagemus^io feqiienci libro. 

. Si ekkm fpeiulo caodeUaccenfa oppbinaeor > reflcdlHir fi- 
iniUcerrCttq^.lunMaocalort Dcbecautem candelaoollocariia 
locoi{icanfit¥iti$/peculi>quemtt)6aioxit.decepn}ioabiM 
. .! «nw^I,iMlode,ApparenciUSpfira^^ 

- ■ jleexperiei)aamWusrctfecilkcun(plccuIomcdkM:ri,cpfaBle' 
'^' snidunnecere^cpia,(H$uoiu»cum.iercia pcdis parte , &Ldepre> 
Jbendifie^. kMpo4Ki«b «UoroflcauMacaldeciAc facien»qiiiaauaic>pe' 
dtbiu i^MfEoflfiipiB^ 
° nc rpccul« yiK a^ uoiu^cdis d«(bi)ti^fl^f«oiafiMsiMB«adem 
tBceofionecale^MBeret* £go«xp<tficociaa&£wi««nt^ecttbioff> 
fialItni5,^.i)il»iI^mtlcdepxchciuJybClialy^ief^ 
rafiioc. ■.■ i ; . . ■ '.•>i.3K . 

^^^aWrftanft^, fed fKgoretiafla rcfledituaiipecditidis* 
«ftyi«,fiiM^eoWjopoQ«iur,ul;>iaccQnfamvaodcbm^ 
ce4Humu«> £ Ptfrfir.credimtt»k<x tf. Miagi(eNatuctBLca|i«4.Mnt 
alioquin probabileoft qued i^\miX3MJ^fdc1)iwewumi nvtetitJ^ 
ab;) l^igiaa,qu^uoquroooii&fir^kkcsoifif eiusoota^hifnveu^ 
ij^itiiiifiixance fpcculnm pofrtaapfunaoDmfcimtfogat^ 900 
f^8jHI«acproindeab eo miolm^ reilcaetur fi-igus.. 

Ident? 



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iljiniirnrn lp.€f c«ait,ettaiii ?acefn rdbdithis v^|>uf. Sedns k«x 

cemrefringil y.atque cchia^ciii^sfngitHr', re^e^iiturenimvox kfolii^f* 
^^^fiiJ^S^^^^fi^A^ r^^^^^f /^/^'^^/^^^^ g^f^Mffrtete. \^^\ 
iume^mt^y^dfi ^uisfdctemjliecuhphveriii^Bcp^ 
tkkngeamiciu fiete^rit.vbieimfaciem con^ic^^pteritfaciem a Pun^ 




k erit: "quidiffdid ff((^cf^trd ^^^^^^nfk^ff^i^ "ver^ 

hiimo dr aTis ni0tm,& motum ex tmngink refiexAore audiet^ ^ in ea- 

iIiorcfMafat ob(cur6. Scd dehacrc inffa lib^, Syn^gm. ulcimo. 

SmTihratrom^^tias qualKateSMnlb^duftmit^^ntes , tLUttpMuii 
floDpcnetrjmtes,rcflecli,nuUu$dubko. MagnetiqamtaineQcf- 
i}uvium,qata fpccfultim pcrtctrat , tani vitrcum fcu ciyflatlinum JI^J^lS^ 
plumbca ctiam lamina rctro i}tttii,f<niim chalvbeum,auc non vi- etnM* 
dc^urcefieAi,autniox|i|i valde del>ilii;er.$^|>ehuiusrei cxperteD. 
tiarafcci,8cvix%ouro,aIi^^o4refl«cionis,'(3cprel^endp^ ^\ ; 

PRO«>SITiO XV*M. PaAGMATtA VJl. n 
Speeulo concAVo^face accenft viderg noBu e^ , quk. 




^ralleiasmftar cyUndri lucidi, cuius bislisadaquetieriampfi^^ 
tudioero ^p^pili- Si igitur fpeculHro cam lumine dtrkatur ver- 
/usiilurolocuni^ quoiiodu aliquid vid^e de£deras2Te placea 
«a fic > five domus condla ve habeo^ ^orcam auc fendlram ^r. 
tamiproiicrecur eoufqueltttnen refl«uro«i5c quidquid cyliodro 
luraiQofooccurret.illumioabicur. HelhrKAuftmmtMeJicmd' 
xjHMthetmtictts rxHetut In Thoorica de Speculo coocav^^ i^iipwl 



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VatU h LMf V^' 

te,ut legi ibjrpbffiiidiRerae. Fdrtjt kit » illamfriari pofle foctHif^d 
fexagintapami$dift"^btein: tMffJeffftmdicit, reinottirfr*po<yp^ 
des , foIoparvnhecandelaevIuihinenlinntiffinolas^Ktcerascogno- 
fccre&IeeerepDfle; ' 
^ DubitfijiJ ^OD eft,);|(iin magha ih hac re varietijfit, pr6:vaiftw 
tJftefpeculbriimi^clumim^ppotJti; prouitehini vel utrufTi<|K, 
vel altdrutrqmmaius fberitVatque perfedius , maibr acqueptr> 
fedlor etfedusprodacetu}:. 

CtIppono,pan<Jhim incehfiont?;& conf^quentermirabisrv t 
•^diorumrenexoram, inrfp^aliiConcaTisypfasricis, eO&tXrei ^ 
qihirtarti)ractdlldb3i4e)ri/pe<aUi^ead<;^ feri 
fpatiumintercencrum&mpeffidemrpeculiconcavam, Prar- 
paraigicurlatemamexraaterra quacanque.&cuiarcuDquefigtjw^ 
rx^Cin italiaexIaifitntsferreisnigrocoIer^tiR^isiormaturneir- i 
VQr Fig.Iaecon(lraunt,ucappo{ita frguramonf(rat) &c in eius ]acerete.^|iJ 
X rT;rc»-n'bH*fe^fe^rone oftiofi , erige fpecnlum chilybeum conckvamTl 
i^Lxm, cuiu^Kf^nidiamcterjriiiajqaeVU^^ J 
^umiftiiinfionis , & unfbmsiradiorumerreinmedio Iatera«. I 
ConftituedemdeinlaternsmcdioIumen,quodccincid2ccum ! 
dTcaopundbinctinfionisfoecuIi.&fempercodemraiocomanc- J 
aci qutm%*ffiJreiT?VclTfett!fi^iff^^ 
fiamlnros c^blJbtiSbfilVdrft^iFff^Vi^ «it 
prarefexigenclaelerariie^isprlrhi candelaaceehfa poflit ad iN 
FittfOT^&hmfienfcmpe^pundoinceoIiohisipecuIirefponde 



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Magia CatoptriGt. 3jj 
i dfti#lo^Af)9rco , aut transparentc lamina cornca opcr- 

omltanfmtnfl cogKK>rcciriS)fi vero oftiolum apertum akerius tt<- 
i biobvij£icsciobverfieri5>fpl<$Qdoreiubicopercu(^^^^ ' 

dcbi€»tuyer6iprumagnofcesj£c ubiagnovi(li,o(liolumadte i- 
; cerom coDverterepotesutnonagnorcaris. Prastereacuicunquc 

rci oftiolum apcrtum obycrtcfis » ingcnti fplendowy^e^bdirad 

longttm fp^trum^iUuminabitun 

PROPOSmO XX. PRAGMATIA IX- 

^s^£fu atu interdm in loco ohfeuroditterju longcdi^ 

fiantes legere ope ff^ecuU. 

f N loco aliquoaltoSc obfcuro^qro lumini^ ordinarii iplcndor £«//#fi» 
*ooo pertipgtCi Iittera5,aliay^ figna funtfcripta,pida,fculpct, W^Jj/^^ 
qua^ lcgcrc defidcras: aut in diftantc aliquo cubiculo obfcuro^^^f^^^ 
amicoscharadercs conveicntis magnittidinispra^bcrctibiyult^«/i 
legeiidos. Colloca candelam acccnfam tn pundo mceniiooi^'^ 
/pecoli^ vcrte fpecutum verfiis locum deftiiMttttm, ut rcflcxutii 
lumcBcdpcrtingati&habcbisintentum. \ ' 

Aliqui dum nodu ftudent,n(blumcn caodeIasaucIuccrn« 
prope poficum noceatocuIisJpccuIumaccoQaaodaocremoca 
in)ocot^pofitolumincinpundounionis,diriguiicfpleodoreta ' 
vcrfti&Iibros»& cIarf£Cmoyivaciffinp»oqucfhiuot0rliimioe,ren^ 
paniniforroi,& immoto. . DcbctautemfpecuIum^e9poo&» 
ndeiev^ufn9& verfus locum ftudiorun^inclioatiiro^j utiufnct^ 
incidacad angolosacutos} ficeoim efficaciusillamtnabit^ 

Porta exifttmat) £ ood:c iotempefta^ppooatur/pecuiom 
coTCavnmifidertbus prim^s magnitudinii^VBet Vericri»altcrivi^ 
piaoecarmUg^ifc faciboslongd diftaocibas, reflexomlum 
Ipecidocoicoiumin pun&o ioceDfioiwi,& tamclarmnfiiturum. 
n)lcii^orem,iiefaaI^q4iieunquc charaderesetiam miHiroipolE^ 
&ntlegf. Crcdoeum «unqciam buiiis rei experimeatiimncii^ 
MeMi^tmt«Ssrjc,ef&<fl«<n oabicuriimiy 



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b4 Pwtis 1. Lfb- VI. 

jitmUm iAiud camen , quod idem Portadocetyveratn eft yfandni 
f^^^lj^' roirum luminibus enam extiuis magbam adaiii auttemj^ 
^il^c2^.no&\i iUuminari pofre,^ pluribus in locis^pocula difpona«w,iB 
. cMvi iU' quocum punfto inceniit^n» lumeti iic , qu<)d iniii^edicmif autin 
^iiMte. locumdcranatum reflcdatur. 

PROPOSITIO XXL PRACMATIA X. 

S^culo concavo notas alicni procul dijjiwtlmf' 

gnificare. • * ^ i 

1iLvfOdam«KpiicaLbimus infira lib.8. m Steganogr;^Iua 
^^^ptrica^adquamJLcdoremrcmitdmus. ^ | 

PROPOSlTlOXail. PRAGMAflAXl 

^lftres ciHsdem tei imagines Jpeculo vopfcavsft 

frxjcntare, 

spnuu T^eribocpt^e»^<ynftatexpen^ Cau(arci lunt ^atkttl 
JJj^ variii locis «lusdeni (peculi ad e«ndem oculumiieflexjofleif 
f/^ff>/^utifupr^edamPropo(k«4«di ^ 
iim rii u Demooftrationem pba^someoi affcrunt FitelU hx^a 
1^!Sm^ PcrfpeiU vx conmuinis UAnms Pctfin Anhiefifiofm Cmmim 
^ j{;,locislbidOTicita«s. Moorum<iemonftrationes fuppttval 
Ibecula debere<o»dnerc^^ autampltiis^ftMMi 
Iphxranni » cum camen conftct > u t mox diccmus , comifl|M 
id etsam til ^>eculis minus fexta portiobe fuaniQiipiiaMiifli 
comptehendencibus. PraKislu^ceftex^iigiMUbeliodc^ 
BomeDisfpeculi concavifpliasricicap.ij. 
VidcFig.' Speciriiimcmicavum AB vel {MrofteraatmriqMraplaatti 
xT.Ico-^^^<>^«DOtale,com:aviai8e<bflttm verfa, velerkatucveractlitit 
Aif.xvii. fopereodemplaoo. CoU<K:eturdeiQdeobj^UmiCad 

B, dceculus 1» /itiregienead.piMtes a« SiiiucilluoqtteiM* 
veanir oouUiSf videbit ad mioimum <luas objcdi c imi^ioc& 
Ibabfiire^ionepuii^i £ i^^ccuUccdiocctaryultaia ^aMin^ 

bont 



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.Miigia Catoptrica. 

Bonrin certa<ii{Untia(quani inveniesadmovcnclo acremoven-* 
do fpeculum ) doo vuitus^&; quatuor o€uli : & fi adlatus declina^ 
bis vultum, difparebit nunc vultus dimid|us cum uno oculo, 
iimccotus vuhus cumduobusoculis^proutfrequendexpcriei»- 
:ia dfdicu Eodem modo duplicau apparebunt alia objeda h 
regionc fpeculi coUocata. Sioculus ponaturubi a tan* 
gentfo fkvc exoremitacem fpecuti , 2c huc iliucque mo veatur , rc$^ 
tpwMido in B, videbitx^mnia objeda in fpeculumradkimia dir- 
plicata»nempe pfllatia,plateas, bomines^tSc quidquid demum im 
(peciilitmradiat, maxim^ (l verticaliter Gt erei^um. Ita MagU 
nus* Sed credo requiri /pecuhmi magnum^in meisenim fpecu* 
liseiqwientianon fuccedit. Idem Magfnusait.fiduofpeculum 
iMtlratione infpiciant, altertn a, &alterin b, &,iemuta^ ' 
re^pfciaDt» utrumque vklere alterius tmaginem duplicatam In 
^moAmt Jit (iinlocoobfcuro ftatuaturlumenin c,oculusqu<» 
in m vj€lebltinrpecuIoduas,tres,&rtibindequtluorcaQde^ 
tTAocillucque moveatur oculus , & (itus debitusinvcftigfBtur 8C| 
loaMms,l8i;oculi. Habitohocipedro,(i.ocuIus.moveatur> lu- 
Runi^cootrafemutudiTiovdnturln fpecnloiiiaclinaodo^^e» 
tc ^ces&tmtjtu6 obvertendo» Subiddeduo apparent capita^ 
ttoitaUp flqita,8cin contrarias refpicientia partes:hoc autem' 
c M^ag^^ » jproftrato fpeculo horirontatitermodo paul& ant^ di^ . 
W^S£^^^ A & B conftitutlnuncaccedant,nunc- 

MHttuL^ deprimantcapita,mod6 el^ent,d6nec qQas6to^>, 
jH«tqr (bedaculas varia enim fpecula, varlam reqiiit^ 
''^^^itatniftantiamyelbvationemiac depreffionei»t 

ocuIoruRL. 



jj^ ftttit I. L*. VI, 

SyNTAGMA III, 

[pfCHlis colwnnarihf^^^ conicuptamcomjexi^, 
quam concavis. 

PAoea c&ca baec fpecula Mccurrant dicenda qua: ad prazia 
fpedaiityideopaucisineexpcdiam liodicatis priMs uoooullis 
eorum propdetattbiis^ed (ioe demonftratione. 

C A P U T I. 

2)# coj^vexorumfiecubrtimcolumnarium^ ^coni^ 
cmumnaturay^^pfietatilm. 

Slmul conjungocolumfiaria & conica,feucylindracea&py* 
ramidalia (ut alii vocaQt)fpecula^ quia ea^dcm fer^ utrorum^ 
fbn t proprie tates. 

JsQitura/p^cuiorfmcolmtnariumCf^ 

dahum cofrpexarum. 

SfiCHUrB OOlumnare feu cylindraccum fpeculum convdxum vcxa^, 
cyUndfic9^ yr^mus^rQtundam columnam feu cylindrum rpecularem, cwui 
^*'^ *,f^"nimirum fupcrficics poli ta efU8c apw ad formas rcrum reflc^ 
nMfHfs. das. Nccfolum m tcgr« columna: Jed partes etiam ^cfeginp- 
ta columi^un^ fecuodum Iongitudmemfc<^t;{um coqmmw 
fpcculacylindraccafcucolumnaria. " " 

Conicum feu pyramidale fpecutum conTcxum vocamus 
coBum fcii pyramidem cuius bafis circulus > polioMn & aptim 
adimaginesrerumrefle<5lend;i^. • 

Maius fpeculum columdare^i^ coofcum convexum eft, 
quod bafcs habet maiores > minus , quod minores. Vitelto vo- 
cat malus,quod efl pars maloris columnap^vel pyramidis $ mmoS} 
quod eft psirsminoris columna:> vel pyramidis* 

Bafes fpecttlorum columnariumfunt bafesfuarum colum- 

nafum 



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Magia Catoptrica» W 
Mtum,fuperiora nempe & tnferiora Dlaoa ci rciilaria>feu integra 
tllafiDt,G:uooBiocegra. Banifpecuiorumcooicorum eftbaiis 
drcularis ipforum conorum. 

Axis fpeculi cyltndracei & conKf» eft ax»s illius cylindri aut 
coni»^uem (peculum format, aut cuius parseft rpeculum. Axem 
porr6 in columnis rotundis vocamos lineam reAam h cen tro ba* 
ii$ Itaferioris ad centrum bafis fuperioris edudam,6c per medium 
columnas tranfeuntem ;in conis Ter6 redis lineam h ceotro bafi$ 
ad verMcem dudam. 

Cathetus inctdeotla: htc dicttur lineaperpeodicularisdu- 
fta \ pundo rei f i& fuper lineam,quas cft communis rediofti* 
perficiei reflexionls 6c fpeculi»nempe velfuper lineamredam (e« 
candi!im longitudinem fpeculi dudam» vel (uper circulum » vel 
/uper oxygoniam fedionem» prout ab aliqua iftarumlioearum 
reflexioprocedit. 

Cathetus reflexionis » feu diameter vifualis dicitur lisea \ 
ccotro vifus perpendicularis (uper fuperficiem fpeculi 6c ad a« 
xem produdam. < 

Troprietates jjfectdorum columnarium ^yrami^ 

dalium conrvexorum. 

p Bim0^ Si ipeculum colutqnare vel cbnicum convexum ^^'luf^thnm^ 
^ thogooaltter ere^um opponatur vifut,itaut vifusnonfitin#i»nM»;^/ 
(ut>erficie (peculi ^ aut ei coocl^us > illa foldm fpecult pars refle- r^^t^' ^ 
dit rerum tormas ad oculum,quam comprehendit bafis radiofo 
pyramidis habcotis verticem tn aculo: ooc eft^foium illapars 
fpeculi refledit fpecies> qiut ab oculo videtur. Stt fpecutum viife Wm. . 
cyltodrateum r, &octilusio e in(piciatiIlud>6cpyramisra-i.icQ^^ 
diofa pertingat bmc usqueadlineam ▲ iUinc verousqueadxviur 
lineam co: folapars fpecult abhgcd, refledet fpeciesin 
oculumiquiahxcfolum videtur>reltquaver6pars verfus F,ouia 
nooTidetur,oullasrefleditfpedesioocuIum VttelloliD.y. 
Propofit.1. Idem proportiooaliter diceoduohde cooico fpeculo, 
Sicmi$9^6ik vtfuales ^ceotro oculi adextremosterm^ 

VV oet 



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J3i PSirtif L Lib: Vl. 

dcmFig^ vexonttnappateDtium vifui >^angunt fpecula» In praecedenti 
diagraairoateradii £a,£b, &Qranesradifinter a&b ititer- 
je£tijicein radil £ £ & oinnes radii inter c & d interje* 
d:i>tangttnt lpecubin>ita ut fi ukerius producantur,(pecyhim 
iKmfeceQt ^aut penetrent , fed tntra ^peculum cadant Itague 
fiaboculo £ adliaeas ab,cd, cogicencureducidujefbper& 
cies, hx fpectilum tangent in dx£kis Uneis. Ykella bb. 7. Prcv 
po£t2u, 

Viclr can- Tertio, Ad q^odcunque punduffl fignaturo in fiipericie 
4ei£iFig. apparente /peculi cylindracei8c coaici convexi ducaturlifi^ 
reda ^ceQcrovisi^» iMa produ^a neceffario Ipecttluni fec^ii 
Sequitur ex antecedrnti pvoprietace. Itaqoe omaes radii ai^ 
oculo £ duiti ad parcero fpeculi f conckifam redis 
€ ih (peculttro penetrant, fi producantur. Vitello Propoiir^ 
Viide fie^ ^^^rit^, Speculocyllndricaconvcxo vifui oppofito>itatt 
ii.ic0ni£ vlfusnonfitin fuperficic/peculi,&punAus rtfivihe radiaotisifl 1 
XYui.. fpccuJum fic cum vifu in eadem (uperficie imaginaria stqtiidi 
^ante bafibuscokimme; communis fe^iofuperhcie#reftexiooi( 
&fbeculi>ericcircifIusarquidi(kfisbafibuscoIumBa?. Colupoa- 
jreipeculumfit abcd^ cuiusbafesfintcircuk ab, & cw vi- 
Ibsfitin fi, pun&um radians in f, & fpeculum fit dtce^ ii j 
£tioppofitum,&ucrujiiquepiimftum £ & f dtmetM^^t 
perficie imagioaria £F^h (imaginare reAas £G;, FM.meitJ 
Aasfupralineas ac>.bd, in.pui¥ais o & h> apquidifhaileB»! 
fbuscotuoina?. Si diiSafuperficies £fg.h fecat^ecttopal 
mediuffl,commuiiisfedio erif circultis g ibk. 

AtfipuhAa £ & p Don£ntin eadem friperficteastyil% 
ftante bafibus If eciidi, fed dbliqu^ fpeculitm fecen t > fedfOd^ 
snikiis nonerie circuitis/ed eI!ipfis,qoaIem re&rt planum Lum 
ViteHoPropofit. ^.dc la. 
VUe lig. ^^!^>.C>miii5 fuperSciesHiiltxioais , cutus eommmiis 
^ Icd- * Aio £(^eFfici«i ftsecuK colnmnaris 6c coaich coavexi efi; bnij 



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I 



Magia Catoptrica.^ |39 
pareotem. lacolurooa IiiMrk»i;l f, fitruf^qe&retfexionis 
£ G H,di viden$ partein IpecuU vifam fecuoduni lin.^am qh. Di- 
coydividereeamxqualiter^aefflpeiQfactem aboh ancerio* 
Km,U m partem. cdqh pofteriorem. Vitello Pxopo&t. if. 

Sextif Speciuo columnari cooico expoiico viuii ,tca uc yyk cm- 
cemHm vifiis non fitiq (uperficie <pecali , ^ puo^us cei.vi^demFi|. 

GtiQi Tiiu in eadem iupei^cic fpeculum, icGuiKlumi^^^ fe. 
caace ^ commuoi^ redioluperiiciei reilexionis 6c fuperHcict ap* 
pacfom (populi eric linca tongicudinis fpeculi. In eadem co» 
lumaayf» fi^ocoliis e 6c pifndam yifum funt Jn cadcm 
fiiperficiefp^culumiecandAm iongicudiaemfecaocctfedio cric 
♦tcda <5 B. Vicelio Propofit^y. 

Seffimi^ In fuperficieapparenccfpcculi columo^ris coovc» 
2ci,fivecommunis fediofuperficieircficxionis&fpeculi fit linea 
loagitudints tpeculi^fivc circuius,fivc oxygonia fedio;^ quolibct 
puiklopotcfl: ficri reflcxio ad vifum. Vitcllo Propofiuiy. 

Offdve^ j fuperficf ei reflexioots Sc fpecuti columnariscon ve- 
xi communi fedionc exiftence vd linea iongicudinis fpecuiii vel 
circuldbaiibus fpecuii 2equidiftance>vel oxygonii fedionc» ab 
uno ioio pundo (uperfidei vifa: fpeculi forma: Ciusdem pundi 
rci vifasadunumviiumficreflexio. VicelloPropoficz^.iy.&iS. 

N^/fi , Commtmi fedibnc (uperficiei re^exlonis & fpecuU 
pyramidalis convexicxifteotQime& ioogitudsois (peculi^abuno 
taBtttmpundofuperficici fpccuiifitfbrmisumuspundi rel vifa: 
rcflexio ad vifum : exiftentr ver6 fedioneoxygonia,^quolibct 
pundo^ & ab uno vcl duobus tantum. Vitelio Propofit33.& 34. 

Dedmi » Cum fuperficiei reflcil<inis & fpcculi columnarfs « 
vdpyramidalisconvcxicommunisfedioftierft linca iongitudi- 
nis, cranc loca imagioominconcurfu lioeatrcflexioniscumca- ' 
thecoincidenciac > & diftancta carundem incra fpcculum sequaiis - 
diflanciaE: rerum vifarum cxcra fpcculum. Vicello Propofic«4i. 

Fndecim^ Cumfuperficiei reflcxionis&fpccuiicolumna* 
ris con vcxi comnranis f edio &crit circuius , crit aliquando locus 
imagiois intralpcculumialiquandoin fiipcrficiefpeculi^aiiquafi^ 

VV » doex- 



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340 Fartiif. Libcr VL 

do extra fpecttlum » prouediTcrfis In locis cachccos iotrdieodrtc 
lioea reflexioois coocurreot. Vrtello Propo6t. 43. 

J)u§decim0 > Pro vario oculi & rei Tiw fitu refpcAu(pcctili 
nfTr^M^ columoari$& pyramrdalis, \raria eftimagioum magoitudOi& 
MMMk figura>nempe nunc xqualis^maiof^mroor^ ou oc reda>curya>pl^ 
rumquedefornijsacmonftruofa,apparct. Sryulnim(pecutoco« 
lumnari fecuodum longttudrnem eredo oppofiierls » <3tiaDt)& 
loogltudioe deformis>tant6 gracditate turpisbTidebitur. Si eua- 
dem ipeculo tranfTerfoobicceris , bumilem i&comprefium iii- 
cer frootem dt meotum » at exteofiimioter aitrem & aurdmcoo* 
(picies> raoae yultui oon abfimilem. St pyranndalifpecutoyu)' 
tum obiicias, acutam frootem yidebisylargum vero mcBCum. 
caotri^tiargam ftootem^IongiffimuRtyerd nafiinfu. 

CAPUT IL 
De Mirabilibfis eSbdibus {pccuEoFiiin co- 

lumnaTium & pyratDidalium convezDrum» 
PROPOSiTlO L 

Vfrum faffihilefit^fieculumcoJumnarevtf pyrami- 
dakcotfvexHmtaiiterfifii,njti»tuens'videatiHaereitX' 

4 lerihocpofft» afllrit/^iidKiUb.7. OpttcaB^^Propofit. 6e:(€uvm 
$atmmmii^ ximZf^ quem lequitur Ppru io pnma editioncquatuorLibn>« 
^Jr^ rum Magia& NaciiraL lib«4. cap: u. quittmeoalt^acditioQeii^ 
brorum yielnttlib.i^^cap.S.aitT Vu^memVatz re oir pitermaf'| 
fe>^ipfeadfigDatalium*modum cflicieQdi iicoequeTifile,oe^ 
fyecoltara fpc&ccur, {cd imagoibia iocubieoli mediop^uJa 
yideatur. yiullontm feqmtur hmnts Pend Repnf in GaUU tJKstif^ 
Prasfi^booedicyfu Opcicx^qjiwprasfixaeftquacuor Ji* 



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Magiadroptficjii 541^ 

hrh OpMt FfMerici Ri Aieii. EuQdem ali j miiitiieqauittur»io- ^$iuis ^ 
tcrqnos cft Cariiam. lib/4. Subt. & ndctiirc(lcMerJennusinOp\r- iMricM 
fculis Mathem.Ub#x. Optica^pani.tbeorera. iq. ubi VitelloQis^^^l^ 
theofemaaffert imer fua. Quoniam ver6 allj exiftimant > im- pim- 
poffibilem cffehanc Viiellonis&aliorumpraxin» pauloaccura* ^ 
tm eam examinabimus: St ut fumma fide procedere nos omnes 
TidcaQtifingulofumverbaafieremtis. , 

Vkelloms Scntetftia. 

CrtfiecMUHffc^lmmmurecamveximtCuim fi$ a B c } VicdTom 

^ifmd eri^atmr fufer hafim fitam in bco afnfm Mmu^cpnvememter ^^*^ 
mfia,itavf&ma AC, cmus medtm fnn^im fit B, j£r^«554^5fp^ „ , _ 
fivimemmm domm \ dmafarj^ tinea contingens jfccttkminfmtiia % ^^^^ 
ftTfendkulariterfiifer tineam ab, ^i/afitDBE,ifMatficundi^fmp-^^^^ 

D E tangat f orietes dommy &HU funiia fignettimriniffis 
fArietikus d^m. Suferficies itaque in efua efi Hnea dbe (efmtefi 
$rthogon4lisfiiferaxentffecuU)faUm quoniam ficat Jfecukm ficunr 
iimcitculumiferiooahec^xhuim^ Suferfunilumitatfue d ^rir. 
t 'tsd$mi$sfignato funlio F, ^rof inciuim cohvenienter fojpt fieri^ 
ducatnrafuniio tineaaquidifianitinesffecuUsiuaefi ABC^cnim^ 
eunifuefnaneiutifflacuerityquafitGFHyC^eimme^^ 
f» cofuletitr^iines FB» tfuafroducaturvitrafunffum f tfansmu^ 
fuminfun0um Ky f^perforeturfariesjecundumiineam gfh, its 
fiuidex aiiatrarte fitferficieimurimaiorpmexcijiorimafarietis^quam 
verfissjfeeumm yficutcortfisevit fieriin fenefiris domorum ; /4/^ /p/4ijr 
\lldexcifiarm$stficundiimextenJ$onemiitteM BPKt Jtt^iHarima fkl. ^ 
[forte FHL« Etafunifofiecuiiyifuodffi »p ducafur Unea ere£ls$ 
iper fisftrficiem fiecuUy qua erit ferfeuMcuiarisfiifer Uneam D £ b«i 
}uaedu&aexfrajfeeuiumji$ bm. %^nguio qnoque kbm fiafjitfer 
mn&um ferminumUnad UB,angtdusaquAiifyquifit ubh, dtn 
Utinea B». Kyifunfiis quo^ ^^HinuafunfextremafnnSiaU^ 
^a G FU) dncfb$turUneaadj^ees»U$nhquaJint q*a, h Ct ifuafrojf 
u{iacpncurranf$nPun£fo Ji^ficieecircuiificanfuj^uiunrim 
4u£l0 dmatur^Unea bo: fdStisfMo^taU reje£iiane Unea BNf, 

' VV i 



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j42 PareTf I/ Liber VL 

fery^rofiftt.ffKvHffApAtd^ io: Vic$,qupifilnpm^ 

fmaturcenttamv^ y quiodMdipfumr^fle^^fcrtHdUneM o fh 
2lineaJ0^gstudhtkJkcfdi,fuiefl A bc. HocAUiemfAteiper^o.hmtm. 
tormaquo^totiiisiineM gfh vidihtturextrAj^ecuUm^ilketinut 
Qetubmto^interlinesm .ofh> fcilicet ckra funSum d Ume^ de 
'conting^tUJ^uluMin fun£fo b, vt fatet fer 4^^huim. SiitMfne 
iined o G, & o H froducanturtrans muitum in funda v <^ki^ c^^y- 
fuletur iinea vna^qusjijt p k q, inquam tabula aU^ft^adefiSia ordimttm 
^Ura murumyita w i^irii Uneaformd in iUa tabula defiSta fittoettur/t' 

ftrlineditt > k <i » taliter^ dij^onatur > mm/ t/^/M» ' 

funifo velcitraiiUnm,videriftonfoj!tiformadefiffaintak 
dthiturtamenvifrficdiJft^oimagoiOin^formd in aerereflej^a ki 
UJuferfieiecoUmnaris. SimiU quo^ modo dHigtjns intuitor fa 
fiereffeenUmtpramidaUconvexum .^centrum vtfiit^fer^i^^ 
ifuim. Hasc Vkeilo » qax Ci obfcuraalicui ▼idebuDCur» clai 
iforteevadentex fequentiUis verbis Porta:k>c.(upri ctt qi 
interferui duas w>culas»quac deedc videntur^ 

Porc^ Sentcnria olira. *' 

* "i 

O^Ap/ t^colmnnare JfecuUmt convexum.wl eim hemicjlimbSm 
(quod farum referre arbitror)taUmJitum indomiciUo,veiU€^^ 
eonfiituium » vt cUrt rei fimulnchrumin mrenonjitoe miracuhfmtuit' 
lum imagiitet. ^uodflvidere affeHakit ,Jic farahis^ C^fiit/iifitt^^ 
jfigmentum media domo fufra tabulam vei trifodemere£fum^iim 
vtferfendicuiariterJoUfm feriat: indeinforamineabquovetm 
iJfectdoaUquantitkiot diflmttitOcuUiseoUoceturi& jhfixmt^bkoti 
movertfomtieJ^ecuUdeiitdirt^ofterumfam ' 
Mccoihmoaetur r fyramis formam h^beat ,imtm contts, forit 
ixiftat , vtifleri JoUty vbi fiSfuraveiimago aiiqua coUoceomr ^^iit^ 
Jfeifarinon tofllhJed^fuferfiaecoluntnarisJfecuUreJle£iAtttr\ € 
<n fiaura iUa extra coUtca$a% qutt ex ocuUforamine videri nom 
inderefenfiUsvideatury quodnonflneadmtraiione intuebititr. ^ 
tdduc^Jfccidum fjramidaU convexumflfic accotnmotUbit/vtrdi 
refiratimaffnem. Eadem>tVbarepotitPortaiib*i7,Magj 

ti 



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Ma^ Qitoptrioa^ 

»ral.cap.« poftqtaadirit : Sedresplmnfmuifriftfe^u}^ 
uffkfremitM. Videhitur imago extraffteukm^fed fermediumfie^ 
cuH,vthtfr4^ulumres§faata,extrimfec^^ 
ioca , vt in cuterU turfiter errat^ Hxc Porta. 

PenxScntcntia. 

piMl»Pr^ationefepr4 dttta, poflquam nuilia adduxifl^t^J^ 
* exenif^ apparitiooum animonun &: geniorum ex pro* 
phana &fecral»ftorki>kscackiit Sed tamen vt ifta eancedo^vt 
mtam&geniesdFpkonicis eduet & exhiberipeJJemnnegtiHAmults 
ineiidikH keminum arte&falUeia ^en diee^quMrerunHmpritiPy 
Hmiihm ddfiriJ^ant^ qu£ cuiiibet niji optices perite foffint imfenerei 
§mtemm muBerum vemfearnm premiffk mn mpretnr , cumslibet 
tmotiinri m^nn (eexhibiturae foJlicentium ^ Kjid fme myfteria adhk- 
^eret ^cuUtm mundatum facris precationibm,^ihm animoe allici di'- 
eunt. r^tansmihtfuf^eSaeJt.fierij^fotefivtmg^^^ 
^ium^ DocetenimeiiQf$kesfarsptpmC4toftrk^^ 

Hmfoneft^quidohfeBorum imaginesnoninjeretineatjedinairaref^ 
k MSzdecuimcompofiti4}ne&Fitelliafripfi,& OiSajuul dieemmffi- 
^JL^^ne»)am Catoptrka cxplieabimm, ^luidergo frohibet^mulie^ 
MKBMfitM koe Jpecub honiwum ocuhs ludrficare ^vtevocatos manet 
^mnmrumfi vtdereexsprr^ eritjcnm t.imen autpuerhautJtatUdtaUcuim 
isfmulacrum in airc extra fpeculum videant f Nam quo^ 
nsfMiadem eji.fdem t^en omnem vtdetur excederi^ficyiim^ 
w^eculum in cubiculo umletjua^ue claufefatuaiur ^extruautenn 
cmiumponatur krvayaatjlatua^ aut ^uidlibet aliudjta tamenvtim 
' % veloftio cubkulifit rimula alu^ nayper ofuam rad^a lurva in fhe^ 
frmmpant\ imago iarvd extraeuhiculum fofts^ irofacubicumnn 
j in aerependens > cum refexionesaJpeculisHUs nonnihilde^ 
fsfint , vtrei Jjftciofd deformemimaginem oftentenPy cjuamtetrm 
ittrrihilisvideturimago larvM^eprorem & conflernatiohemcomm^ 
- ^ ippenduntincubic^doMiflotenfnjJimo\j^^^^ 

ladhdcmj^em j^^trc putmtur ; inhxcfacpm 



J44 Paftit l Libcr VI. 

tfiduciturconfidt^rimfefitm fAvUm^ ndtammnifmAtiXihm 
tefutans : intere^ mnlier trivenefics exorcifm^sf^adjurgtionesftmJk, 
qmhtis manes ret^viviexi9^ernisrevocentur yVtrestQtAdmmori$* 
fnretLt. CoBecatnr cpnfuUer ee loco^quo radim a fptcuk reflcxm tenA 
Ftdetigiturnonin/hecnlofedin aereextra Jpeculum,Jpe{trum,trem$* 
Inmyfroftered i/uoajfecuium apfenfum tenuifih nonnihil tremit. Vi- 
det caffam^ & exanguem imaginem in aere fenduiam , horrificm^ d 
i^umetiamaccedentemftlarvaadrimamfrofiusaccedat. ihnao^ 
Jternationeattonitm^ondetechna vejligandayjeddeexitu^mth 
gitat^quamaJcekrofamuUerefaciteimj^rai. Inde tamfnamdm 
fanctbm ereftm > faiam frsdicat vidiffe fe manes & animosreMm 
ex inferk. Jd cui nonimfonireti quunondecifuUscafereturi Km 
fan} hdtflusqudm Vjth^nicoifrafiigids effn^ei , nifi OPticis fUfik 
inffruffm. I^tp rerum lux ofticafatis ojlenditjflnos^ manescn^ 
haberenonfhyJudi.JedarHficioJast C^ab imfofiura frofeffoi. 

K^rcherf, nofira fententia. 

^inhtri& p Atkaoafius Kircherus lib. lo. dc Luce & Umb. pan ^ < 
mtftrsfm' * •dtone^.cap.^.ubiaglc. DeegreffuidoUextraJcfulchrmnyJ 
refrdjentaiionererumindereextrsjpea^kmi poftquaini 
Viteuonisfenteotiam^ait (efnaximasioeadffiicultaces i 
I^rim6> quod convexa: fupcrficiet (peculi cylindracei botf^T 
ftaiisrep^narevideatur} nam cylindraceum fpecuhimflMms;! 
xumnon redditformasrerum in naturali cfHgic , (edcoittti'' 
coarfUtasque (ecundiim totam longitudinem rpeculi>t) 
pra^cedeati diximus > & expcricntia patct ^ unde nt(i tma£ 
cubiculum conftituu» diflipetur ac transformeturiuxcai 
ftiprjilibro3« traditam»Dunquamin cylindraceofpcculor 
acnaturalem formam exhibebiti qoodtamcn ViccllotioDi 
netfaciendum. Secund6>qu6d in omni convcxa (uperficieff 
culari radijreflexidi(Iipentur,tdeoque oon videantur poiTcai 
fpecuiumitacoire, utrepracfencentimaginem tn aere. Ted 
quia poftmultas acdtlieentiflimas expcrientias iuxta Vicdiooi 
pra:fcriptum fadas» ainiumnnquamvcftigium pcndulxf6aer 

inMgir 




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. -Ma^w Catoptrfta. 

. «iM|ml«JcptAen<iercpotiiit, Undeait, nefcifefequfdVitel- 
^ loni iD meotem veaerit, ut experimentum ica vtritati repugnans 
«ilcrerefitaiiAu. Egoquoqocpjoftmiriuscxperientiaicandeli* 
accea^Tsoo^.obie^li^coloratisrnterdiu fa«as, nunquam de- 
prcfwndere potni,imaginem rerum (peculo obietSlarum appar e. 
reaote fpccikium > oe^tte qui id fkti qti^ai , vldeo , confidcfatis 
{>ropcieutibus & affecliooibus tjpecMlorum columnarium & py. 
vaiMum coo»exorum , quas ut arquus LeAor coniiderare 
/«IttMllpi^edcowCapceaddiikiexet^ pif^^ 
etiattfeyoKih jovetii$adbttcaonort«nTfxqaind«dtt»Viwlld. 
noji^averat praxio , nuHa utiqueexperientift ioftruaos, 
* *™ ' liorfatftus, & iamquinquagcoarius , ut reor ; falfiratem 
Kicotoipfoedoi^us, iUam vehementer reprobavit, ot 

_^ mos. Qu6d fi Penaetiam experientiam confuluiflet^ 

littitommagoificisverbis Vttellonispraxin cxtoliflet , ncc tam 
lidltilain medinm protuli(Iet,fagis acftrigis cam affiogeodo ca- 
n^ptfices perttiam, qoaro oec ipte, egregiiS licet foS o{>iniooe O- 
jt^iMfl ecutoseftunquam.necalijalfequentur. Sicoocavom 
fftj^jil' " lemicyliodrrcum fpeculum fagas io eam rcm 
'^™^iffct,aIiqoiddixifl<st,at neqdaqoam perfuafi^i)^ 
leqoeoti experientii edoai,quam debili lucef{yearft 
fpeculorum didorom ,aliorumque qaorumciInq{ 
^a«rem} & quim accurati oculusad fpeculum cnn. 
iM:, n* vifoales radij ab eo devient ; qii4m mtouta pVo- 
dacfntcrobieaum, fpeculum, & fpedatorem fef- 
~ -^mgr- — fcllicitfe lox non excbdehda,fed admitteoda , autfi 
*gK»ali<jua1ociadmixtareauiritur,quAmindcprehcnfibi- 
lAiBmmDctria fcrvandai & poftquara prarftiteris omnia, & i- 
mm»fytmx\9 cdujfcris, qakm parvum 8c mtttilum illud app». 
tlm-t^^tomniies vifa, «cfrcqueoti cxperientiil compro- 

' ''4«9»ttimdibif«pe,tumfjtpiflimeaonueaj>ud 

iP.Kirciicram. 



, pJiOPpisjTio jl. V 

ftcmu *-4oiiiin,utiiMeM pen4t>luiPappargat,fiibjuogithaM:Ycrb» »A 

Umfpedetur .fedimago fiU in cuUcul' mcdiopcnduU 'videatur,(S'W 
Cfmit*nbulmd(i vndi^^ imaginem aj^ici/is. S,e4^opHlo prppalandfJ» 
Keidig94.( i^fftAndign.iimf<uinHSCeimi^^^ c«jUmM\w» 
■aJfCfiwi : ■^i^WW'^ pofleres iwvandi velunta^; exhaccnimitjutJJiiit- 
fnationeeiuadam,majora ffrSAfft, drmira hUigrafrjtpagabuntur. ik 
fidne cyUndrica fpharalu, velcen*/ex*pyrarnidkik^cAvife£iiHm 
ffgmenti- portio igmMm>J>* ^»^» '^* » ^H^adem^Kecbfi^perhem 
fiyiindrum de^endaty 6 quadratum., & per obliijunm,difiungitur. h 
^bitep^r^ii^pendHUaccipiAtmacinfrainfuAdi^^ 
iio cfin^^afur.. f^nHMkHdi^tMrdofnmfeneflta^ eerumrimum 
ffitjuemii^ex,*PfitmK ingrediensinfrk penetret. Eo. loco vhifptcli,- 
^ukmapfar.atii^m^ci^'*»^ Solii veif./*^aryadif,ewfedejmtiirfi>e- 
~ ifacultm^, Rfpe,rpi^u^ymaitfii&radmAfC0miw4e 
mut rem^^imh pciiMf^m^^tMrefier&^^ 
£l^^fp^f^^mani/pe.cuUprimamtmitmtMr, & cumfufraipjimjimii 
aceomn^^tfr anea , v.el niarma/eatduU., ne a fenefira ruihi 
kmn.&reper.ci*S^ifitroacj(lin^ 
S4icepalmafi,fu,beii^t^l^ld^^ 
c,irca,ohmbiUbisvifioaem%itiipi^^^mmodetJir 
*^uteu6videripojfttjKVtec4Mrreffsrp^ttAracc(datf^^^ 
nonA>AUepofftt,fedcircapupiaamcircumdare^.nevttrooff^^ 
' - fi4Si jfnaootunccenfpicittir.necvidehitnrfnpratahuUm. vbicithmm 
\d^^ier c€ntrum fpecult£fabit vifmMeAmi C^rw/f;»-*^ 



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tfMiiddJfeqMetur. ^ . * . * 

Vcf Iudit,vcl dfccipit Porta. O Wcurms rcm prppoocrc noh ff^rn 
potuiflct,quamcbriusrcapcrircno9pptuiflc,fa^ Noh zii-f^'^^^^' 
fimdiccrc , c^nfi nobis famum vchdcrc ; fi^ri cniinpoflcquo3^'^'^* 
promittit,5c fcio, & non muito poft dpccDO opclpcquUcooqavi 
columoaris. Exiflimo cum io fubftantia idcm diccrc vcll^j^quod 
Bo$<iicc/nus,fcd vpluiflc rcm vcrborunitranspontiQQc;si(^ cputl» 
latbntyUtpotc tum fccrctiflimam , magnij^cam,acpra:(tahtcii^ 
tcgcrcncia vulgus cmaoarct. Faccrc ^jdin Magiafua^ iatctur 
iplcmctmPra5Tationclibrorumviginti,hisvcrbi$ : Ma^mfca,c^ 
frd/fdMtiJpma aliijuo artificio oivclavimuh vcluii veriorum thn/poji- 
tionc^ deprejpfneujuanoxi^ &fnalefca^hjcuran^mm:mnitatanf^ 
vtmffnioiiJfmu\ quisj^ detegerec^ferc^eren^n pojjff \nec t^mcl^}^ 
vt ifUarM turbd froJient\ non t^m occulte , quin ingenium frdqufr^/Hf 
dcafiat, ttcc tam aPerte, vt in recejjueadem , qua in fronte^fromittantl 
Hoc iuiqucartificioufusfincdubiocilin prarfcnti rodefcriben- 
da. Ulfamzycrbz^ clariu^rem aftriretfon poJfumus,c^quodj^/^^ © 
mmMTf^itimus i\tz cxplico^vcrba transponcndo,' 6c fupprif (Ta lup^ 

Iy^i>:<XtfimremaferirepotuimusJedno/^^ 
D baoc mddum 6c rcliqua cxplicai^c poflcm > (cci opcrani nblq 
ludercsiofra Qap.4.Propofltudic;am,quid eum yeUe^xifliraeni 



PROPOSITIO IIL 



e^dUa praxisPoru pi[*o^mtHry yPnp^u imago 

fendula m cubicttlo 'ZfideaiUr. 

1 Dem Porta lo. dt. cap. 7. hacc habet. Nm oauUahimustimdem t»rtt»u» 
' rem ddmirabilitate & ln(lMrif4^epUit4t!»iptfi^am in hunc Jermouem *^ 
incidimtis» vt noRu imaffo fenduU in cubicuU videutur. No^e enimi»' f^^/^*^ 
tetl^Mi»enlHC»Ume^*o fenditk wdehturimagecuiksi>isjtmid4^^ 
nen faeeafficientium terrore. Ante firamen cubicuU Accommodetut ' , 
ims^» > nuam inmedi* altefiUs ebjcuri cubiculi fendutam reprajentirit 
^$4trimtUt&cinMmmuha^^facefaccenJi. JnmeiUov&oibJcuricu. - 

XX i bicuU 



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^j^t Fartto Lib. V n 

mijfd^imiiginem recifcre, Namjpe&dmihm , cum likteumncn, ^i/uie^ 
anty wdebiturimAgo %n medtp Aeris fenduU, & Uminofarnon(inemetA 
<^ horrorcc^ prdfertim Jiartifex fuerit ingeniojm. 

Dc hac I^orcac prixi ita fcribit P. Kircherus Lib. lo. Lucis 8t 
Umb par. diftinca. cap; ^ Sptcioja imperitjt ptebis iirritamenta: 
^uicun^ueenim fecundim diCtum modum operatmfHcrity, linteum- 
Vi^ebif ^uidem, (^ in-eoiransmijjam imaginisextra cubiculkmpoJftA 
Qeciim\ imaginemAUteminaerependentemeaconJ^iciet rati^ne^ ^ua- 
nos fpecies intra-culficuliparietes intromijfts conjfpicimuty Jfilicet invet' 
fim y^in lintetf exprejam^ minimeveroinaerependentem \ ^M^tt- 
men4anquam maximum Catoptricum miracalum vendit Port^. Etita' 
ijuidcm, utJCirchcrusait, contingct,fffpc<aator if)traoBfcina- 
tufncublculumfiicrit,.utfexcernicsfiiicxpcrtus. FbrtaffcviA 
Pbrta,fpc<5fcat.orcm cxtracubiculumcxiftcntchipcrforamcnfc 
hquodcxiguunijdiftindum ab coj^crquod^fpccicsimagtn&ii^ 
txbmittuntur, pr«di<Sum phafma infpiccrc dcbcrc. Actime^ 
fi^ tumc o^copiofius-quiim parcdlUmtnintromiffunv» linteuit I 
^^uidcm vkJcat , imagiticm veronein lintcoquidcmexprcflajik 
ttcdlJhi in agrc pcndulam vidfeat. irnumadVcrtcrcnon oraiti 
kam,Portam.pr«di6tumfiiummodum non.procatopcrico, |ed 
pro mcroopticoffccreto vcndcrc, qnamvisid intcr caroprrfctt. 
Expcrimcota,utatompiaquacfextp&fcptimocapitclibrii7.cii^ 
tiatj,rccitat. VidcquaE;diximuslupriJib.4,cap.t. Paraftafij.. 

C A t U T 11 1; 

T>e.Cd»orvar/m^emkmm eolumnarium. (^omi^ 
citru»tfrafrietatibM:. 



^i»feriMr(^^^^(^^6Uigfjnus.nomine fpeculorum QoneaTorutn coli|| 
etiMmnmyi. ^^^narium>48ccooicprum feu pvramidalium >f acetex.df<^ 
um & (»■ ftjprj^capitc i. Si entro cohimna.vel pyj-amis five integra , Hr^. 



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Geogle 



Kfagra Catoptncau . J49^ 

aptaacf renimifM^Dcs reAe(^endas>{{>€cula hab^nwis mficava/rifrii^j^ 

celumnaria & pyramidalia. 

Propriccaseseorumlue foncpntdpu^. Prmp^ ConimuaiS' 
fei^io fijperiiciei refiexionis & fpeciili coiuronaris> qiaandoque 
eftlinea longiiudmis/peculi, quandoquecir^uI«s>.auaQdoque 
oxygoniafedio;pypamidalis vero poreftquidem eflelinea,& 
xygonia ie^io , at nunquam cicculus% Vicello^libi p^Propoiic 1«. 
ki. 

S^c^Ji^ Ocvio exiftence ioira fpecialum coliimiiarc , & py^ 
lOTiidale,^ quoliber pundo fpecult pooefVfieri reflextoad Tifum:' 
acexrra ^eculum nbn integrttm exiftente^iimaioreparcefupeii*^ 
ficieifiecreflexk>t>//iiZ^Propof.4.&5. . 

Teriipf Goromuni fectione fiiperficiei^reflexionis & fpecuK 
coluoinaris vel prramidalts oxygooia exrflen.ce, erit locus imag|«. 
015 qiiandoque ulcra fpeculuin,quandoaue citra vifum^quando*^ 
(|ue in cencro vifus, quandoque in Aipernciefpeculi^quandoquer 
iacer¥iiura& fpeculiun. Vitelle Propolio. Ethoceftprxcipu» 
um horuiD fpeculorum pbaenemenum. 

^frib^ Inhis /pecuhseadem varietasimaginfsquoad nu^ 
merum,quantiiamn>&figaram depreiiendicuLr4.Nam allqpani- 
^ eft ticia>duar,tres*,aIiquando re^,ciirva;aliauaadoetedatii]^ 
wfaAc^ Legeif^Miti^iyMUl/^i^^^rio^ 

C A P U T IV. 

mdaUumc»ncanforum. 

* afiBrjkni,&qii«M»gicttro^uidrapiimti tSSu^ 

MtOPO^^ITlO I; PaAaMATIA B 
hmetgmes ^mdtflk rm*m inaare penitutacft^tmUi 

tyUadracn£Mnca!»iexbi£tr€^ 
C Pecttlam c^cidracettni cooeavtMiMcaexTicrO) i^it^sfmtftiii»- 
^jui^Jiaixiiejt J«iijex fcicmtts foIiof>r«paratiun , lotra ii^^euaii 

XX % ; aact 



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jfQ\ Parib I. Liber VI 

^fecMe^ «Qt ditftaxMMMk charca craifiori cylindrum ia adtpta^ut did^ 
.lumnsri huiccylindraccac fupcrfkici pcrfcde intus adhaereat. Non cft 
Z^^^^Ms !n ^^^^ wcceffe int r(kcc«kiracy liDdraceum fit iQtcgrum,fed fuffi- 
M^ep^ndu-x^iit ftfnic)4i[f<idti<)um intra ligncum aut cbartaccumxyUndrum 
Ue exhih' inxtffWR accommodatum v alccra vcro huius cylindn mcdictas 
'^*' <(^o.rcnigroautacreoobdiKf poicft. Quaotoautcmmaiusfuc* 
iritfpcciiium ,hocc(l,qudnc6 maioriscolumna:(cgmcntum,e6 
^aptius crit ad quxHtum cffcdum cxbibeadum. Spcculum k^, 
pra^aratum, •«pigCTcrcicahter m ^diqHo pkno , & in cius foodo 
tx)Itocaifflag^emiautihtuamquamcuoquct(aIiudyc quodcmp 
<juc obicdufii)Uaiit 6t Inyrizontaliter fcr^ proftratum , Ac ra&^ 
*Vide Fig.^);i5fta6fisantcfpcculumiQvcrio(icu >accat>proutinappoiitaJFi- 
IV. IcohiLgm.^ apparct : dciodecxpoocl^culum lucijut tam pars fpccula- 
a1s,quim<3lneAuraiti^ndo>pcrl^dcdluifiioetu^ \ 
t>ciftoantcfpccukim (v. g. in a , ut radi > vtfuales tcriiiuieiusaiia ' 
latus c, obicdum vero iq fundo jaceos non appareat) obi^ 
di idohim in hbcro ztrc fupra ipfum (pcculi orinciunipendeic i 
con(picics^itanaturalitcr,utyixoredas phantiiUcum dic^iltamt i 
adniotismanibi^cxperiaris^eiiipalpabdci : . " 

EgoinSicilia #^ormi b^oblmihuiiifirnodifp^^ 
lcfiftis folk> , 'quod taloum vocant Itaii^confcduxD)- flciofigiicai 
pr^ftabat effe^iim,pr^fcrtfm inobictirocubiculo ad lucem ctn. 
dclac.P.Kirchcrusum]fn habebatctx miftura coi|fcdu,coquecx- 
ihibuit Afcenfipncm Domini ita ad vivum , nt omncs^gura: in 
'Speeuld rocdfettj5rispcodcwvid«cnct*r. (^dfiiiiiagQin iun4pfBC^- 
'uMrisepf culi4tadiTponatur,uta^n^tumopificismovcripoffit,miraVib^ 
fi^i^'' Tacruntfpcaaculatinacreeninivarijsgcftibushucillucquefiio. 
.cwkvi^ ^eriadTetitare,noti^^fiaelni»cntfiimftupw^ 

> iies. Si(pccuIumficrcttantfecapacitatis,ut hofm>vivwtift 
' fundo jaceref oflctt Vairiosqu(3geftusac ilf)QCit»esePQli^t 
nccoin^ci^^cndQptcn^» iSCiOnwcsilios^cftu^c^^ 
dcrc poiles. Sib1>icdum in fundofpcculi jaccns clcvctur pL_ ^ 
pcrvcrfus £, ut nottommnohortzontalrtcrproftratum» fed 
qc^ilite^«rc<fluffiiit,iiielKMf^ res h^hct. slsd 



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ireotia te fnelms & hoc,& niiiltaalia doccbit. Atquehic eftmo* 
ifus pptimusxcxhfbendi rcrum imagtbcstnaGrepcQdulas» pra:- 
{crdm^rpeculam arufTcioaIiquooc€uItcturnccoinpareat,aut 
faltcmnOinaQimadvertatur cfle fpcculum , (cd putcturcfrepu- 
tcus^autilmile quid. Nccaliudcrcdiderimcfle loaonis Baptiftat 
Porta:artificiunnfupra.cap.t. Propofit.t.dcfcripninij prsefercUn £L 
iB.tcDebd&adfluniencaQdeIanmi exhibcator^. 

eORQ L L AR IUM.. 

Quomodaquis flamrax digitum finclae-^ 

fione. a<iia^ovcre vidcri poilitT^ 

Qjm^rdili^d Jj^tcuti cylindraceiconcMvifandi cdndelkm itecenfim ^UmmA' 
§^ru^flAmina cdnaeU in medio aerefutra JpecaU mfkhm fenaere ^^^^^^ 
^d^bdnr ; cim vera fiamma non fit fedfoltim iUiusidolum yinno:Cii fin^combH^ 

edm idngere, traBare^ & digitmn diu admovere poterir^ Sfeddculrmfii^ni cmq- 
^feexhibuijdr mehminhoc.qua^^^ cmuvo ffeculofuccedu^ imc^an$u 
^^fxmiamLhicmeltkyCmafkm^ «9oidem 
Jpenaculum cum P Kirche^iit[dffifcis exhiberetvilli^mdnum in^medh 
pimma diu verjantem viderent, pavore cdnterrtti^ ne ipje fihi tam diu- 
Unaft^iimedamnumaccerfereUmanum:ommbiis modis inde divellere: 
unntkfmmi:. rifi ) i . 

md^mxattone ^er j^ccula imagtnes m dere ^en- 

^ dmte^exhtkerei^ u .v 

rOki^coircaTbtaDttlm, (ed'pjaoi&ctm 

TOuI rnagnctc>in aerependentcs cxhibcri poffunt: Artificiimi^j^^T^ 
to^tP- KirchefusXxh, lo. Lucis & UinBrp^f.3Vdiftinft.3 cap.3; iti^^^ti^^m 
quod & hk apponcrc,ncctldtpi3oadebit0iplacuit. Spe^ ikh^itm. 
Bn^.tjgftur plantim Ibtc^^driq^ . 
Ifelum , fpeculan ac polita planitic deorfum fpe^tantc : fupra 
XE magncds vaHdi fiuftu%iiiiif Yvcra^ la^ 



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tys fpeculi alli^etur f ubtHiffimo & fer^ in vrnbilf fTlo aotpikxA* 
jedumferronttum,quod4n(iagneteattrahdtur»nectamcolp^ 
xuli inferiorem planrtiem tangat,fed inai^re hrrer^ vtdtaturdi 
Tatiobe , qua idem P. Kircherus tn Aite Magnettca lib i. par. 4. 
Cap.i.Problem.io. fufpendit in aerecokimbam Architae volao 
tem» ac horas diei monftrantcm» & nosluo locoin MagiaMa- 
gneticaetiamdocebtmus. Objedumitafu^enfumradiabicin 
^ecuhim^&in eoctiam jpendumm in acre videbitur, cum iilum 
tion compareat propter fubt;ilitatem. Si itaquc crregionehuius 
ipeculiinloco inferiori di/pona^ aliud fpeculum planum»quod 
bbjedi fufpenfi imaginem ^priori fpeculo refiexam /ufcipi^t, 
atqueiti (pedatoris vifum remittat,fuperius verd fpeculum cum 
^bjedo fu(penfo occultes^ut ab infpedore videri nequeat^ vid^ 
l>it is in interiori fpeculoimaginem eandem in atirepcndulam» 
«ioovifoobje&o»necfilo^quofu(penfumeftobjedum« Etquo- 
«iamobiedum fufpenfum, & imagnete fiipra Ipeculu occulca* 
to actraAuro atque aUedumi in continuo efl tremore.ob cond- 
Auum mkxm furfum itremere (imiliter & quafi volitare vidcbt- 
icurimago infpeculo inferiori. Huiusmodt Machinamenturo 
^hiberefblebatP«Kircheru5in Mufeofuo,maenaomniumad- 
«uraciooe»&:applaufu>nemineocculcam dilpoutioais ratioDcm 
ferdpiente. 

PROPOSITIO IIL PRAGMATIA 111 

Sfecuio concarvo ^am fimul imaginem in 
Mcre fen^ldm omni tx parte 
txhibere. 

tpaub /^Oocavof|McuU>,tamfpfaasrico»quimcylindrico»4m 
^I^T^^crorfum miuicur.uci diximus , fcd eai nuUo f ercipitur,nifi 
Syjlf^Agcgtoneip^ Hic 4ocebimus nnodum vJdeodiima- 

n. !«oem»odaffi(ipoftfpecuJumiuerrs. Applicaeigo tfceriusp^ 

SorlfpccttlttncoQca¥um» ficexcraceotrum^usappoaepi^o- 
«em^cufpidcafdfpeadttmy^^^ 



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Magia Catoptrica^ 3f I 

Lofighi^indereccdmdo^oppoiieiUi fpeculufiwIaQuni; 
io quod re(nicieos;i imaginem pugiojiis^cpDcavp re^xam^in 
aere pendulam videhic on>ni exparce. Qa6diiingenioru$arclj 
fexocculuveric fpeculum concavum,& objedum vifibileKfolo 
plaoo coorpicuo relido } adhuc.mirabiUus cric fpedaculum* 
?^/4L'b.i7.cap*^ . s , 

^Admomtfo ad Leihrem. 

A (kMdum hk forei de fpeculu qud ^feSiomhm eef$ifu ertnm hng * ^ 
^ heme , nemfe de PdrshJUcu > Hyperhelicis , ^ ESi/iicu > st^mmdm 
unmfrdcifum & feri vnicm vfm dr effe&m cenfifiit in vfiiene^ 
cmnjmdim 4e ifs agemm lihro fcqmnti in t^gid Cdtefire- cMfiicn^ 

SYNTAGMA IV. 

fpecidu Oj^etamorfhoticu feu transfor- 

V' \ril vatiic 8c docebc 6c proniittunt ratione^ transfbrinandi Mmmtt^ 
• Womtocs in anitnaluiin quommlibec formai^. in colores 4i-/**i^ *'>*^ 
verfos 8c knacorali difiereDces,uti Us^tk vidtm^^Lib.^. in Magia'^^ 
PanUlMtca, cap.3.fle lib. 5. in Mj^ia Chromatica CfarottMtiCj. - 
At nalliid arce meliCis it veri&s effict pofle arbicror, qu4m Cato- 
ptrtcaarte,u«i ex iequcntibus pateiMC, 6c jam cx parte deilio«- 
ftttviMios fopri Syncagro^ I .cap.t. Propofic^. 

Prt>pontto I. Metamprphofis I. 

Spectdaflana efficere , qm factes homirmmin varios 

colores mutent ^ easdemciue rtigofts 
ojlendant. 

/^RyftaUina fi>ecula ad prxdi<^os eflledus «xhibendosdptiffi. 5^m£, 
^mafunt. . Jnliisapparentittmimagimim varietas,velama./i^r«JN 
teiJ^Telafotti»ipocoIiproycniry)Qiid^ 



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|jr4 ^ t LiB. Vt 

fnas nitidas^& prototypo fintiles reddant^cryffallittm daram per^ 
^icuam^i eSe pportet^ 6c oullo colore extraneo tin^hm, 
praiterea utcimquecxadc policam; G alterutram^auttJtrumque 
ilefuerit,f|>e^lra raria acderormia rcprarfcntabuntTlfui. 

' Srergofacieshominumexhibercyisvariiscolonbusimbtt» 
tas , vi trum feu cryftallum in Furnace vitriaria fervebs quovirco^ 
lorcinje<flo defa^dato, indcqiierlaminam proip ftculoiactandcm' 
ipeculum conficitoi&c infpicicntisiacies^eiusvidebicurcoloris, 
* ifdovitrumitimttindum; Siigitur vitrumviridcinfpeculutD 
opacaveris, vidcbuncur infpicienccs viridi yultu inftar Fauno- 
rum:ii flavUmfcu croccumvitrumopacaveris^nrpeculum>(h' 
vrvidebuntur utiScricorum vultus \ Q rubrum fuert C'Vfcrum,rt]< 
bro vultuin(lar.ebrioii)nim apparebuot ; fiAlgrum » nigri ut 
tliyopes erunt. ■ ' • 

Si praetecca vitrum (peculi fueritina:quale& aliquantiiliim^ 
nugofum yrugofam faciem , & imm^ turam ffcncdutcrooftcndct: 
fpeculum; & bacrationeilludi poteft iisqui de pulchritndine&. 
iliveotaAiagloiriancuri Siautem clarum^&arduaiiterextenfunf, 
optim^iDoiKumfuetit vicrum ) pulchram 9 olaramt&iii^^ 
£id#m owwldcijpeculun^ 
cmfitkM C^ddfiinrocaoftogona/opryadt.defcripta>difpofuerit 
^kfi^a^ in (ingulis oclo laceribus ungula fpecula div^rforum colorum,& 
divmrfisxo- rotam ita.aJt>fconderis fntra: Machinuiam aliquam, u| occulte 
iiri»«y/i». circumduci pofl]t>.8c unum tantum fpeculum per apemir^A 
compareresividjtbitidcm infpciftor vplcum fuum fucccifiv^di« 
verfis coloribus rindum > pro di vcrfa roca^ circumgyratione. ^ 

Propofitio H. Mctatnorphofis 11; 
^ecula ef^tre , qm Joommis faciem ih medio divir 

ffun , aut Juk variis anttnalium fprmisr 
ofitnJUnti. 

IDilixcfdentiPhgmtla Ipeuti ftt^ de MetanMtphofil^* 
^ ' jjtrica/ 



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jmicsi l l^cnl^rum maccria orta » n«oc. de wi^m lofquemur 
ex farma rpcculorum ontun 

culumconficc,cuiu$antcrior|u|>crficics^nua:o 
cxadiinme fitplaoa,poilcrior vcro rupcrncics,cuiplambuln ^l-iUv^ 
linitur,iQ mcdio retufumdc retrorrum protubcrantem h^hcit^fmdm. 
angulum folidum,feu fccundum longitudincm,feu fccundum 
lacicudmem vitrijta ut vitrum a partc pofleriori (Ic in medio ela- 
cumSc craflum, inextremis fiar<35iisliit]c 8cindedepre£rum{ic 
fubcilius. Huic vUro braAcolam more folico fupcrinducico, 
ucfpeculum fiat > Sc qarcunqtic inipcxeri t^bifidam confpicict fa« 
cicm fuam , propterca qu6d parccs fpcculi media((pcciesiacici 
acceptasnon renedant ad vitrum,(cd (bhim cxtremar*' 

Si yity vtfpeSidnthf^Usafimni^auUgntniyVetfiiBiorh^^ %pumU 
r//fri/, fpcculum cffice ,quod rctr6 in torulura vcl rctusum um- ^'J^^^^ 
boDcmpromincat,aQcever6fitp]anum>utca:tcrafpccuIaplana.AiiOTji;^Mip 
Hoc fpcculum (i faciei alterius opponas,utparsrctro protubc-n^^/^^ ' 
fans fir ercgione oris, vidcbit is iuomoscxtrorfumporrigi,vc-'^'' 
1ucosanninum^autfuillum,caninuitiveroflrum, Sicadcmpari 
rccroprotiibcran^ nt^regioneoculorum^hiita cxtramittivido- 
bnnturjUtfqillarum oculi appareant. Si tumor aut rctusus fo» 
Jidusangulus pcr totam (peculilongitudincm rctr6 diftcndatur» 
inspiricn tis frons, nasus , & mcntum promincbunt ^ 8c inftar C9- 
nifli riclus acutus erit vultus^ 

Si y\%yVtCHhgruUfiLciecumUngt^im9toU0dnAYed$^^^ 
culum retroaiatere inumbon$,deindcab umDoncdcbrfbmid/*^^^*» 
cylindraccum tumprcm protuberct: hoc cnim fpcculum (iTe-^ 
cla aspcxeris , facicm tuam in gruis caput cum longiflimo coUo ^ 
muutam vidcbis. Si idcm fpcculum bbliquiinfpcxeris >facics 
40 rhinoccrotis caput cum corou cx ftome «xcrciccncc dctur*^ 
pal>itur. 

Si yiSpVtxafrinaminftarSiityri^Mfcervindmf^^ tfmfMri^ 
hdtfBet prtmum,Gipc€u1umTetr6 ih duosumbones prot(il>erct)<ii»'<^^ 
2c Dlanum anccriusiit aliquantuICun undulatum; vidcb^cnim*^ 



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3f<f Pittu l Libcr V L 

fcinfpc(fl:ortufpcm,cornutum,rugorum,&orishiaturldicul^^^ 
. , ^ Alterumfietjfifpcculumretroinramofbstumorcscflbrmavcris. 
tteqiycrbo,nuIIum mohftram tamturpeeftifubcuiustormate 
' in Ipcculo fimili induftria adornato non a(plciasrRatlo omnium 
- • , j^ljijj^modjph^^matum eft mifturaplani fpeculi cumcurvilincis. 
FraedrdiiMniiiafpecula non tantum cx vitrojcdctiacxfclcni- 
tis folio facile &a quovis fieri poflunt , fi prius (brmam cxargiUi 
cffeccritj&fupcrcamfcleniticum folium fpccuhrc extenclcrit^ 
^t^^ggpsctiamrupra Par.KPraelufj. 

Pfopofida l\h Metamorphoiis IIL 

Sfecidiim pardrtyquod hominis faciem millc 

' modis defarmei. 

SficuU rNlIobus modis iJficri poteft>prim^xperfpccurum ellipticum, 
$UifucofM. *-^lccund6pcrplanum. 

r^ft Fiat igitur fpcculum clliptfcum , aut faltcm fcgmcnfum 

dfJ^H^ eius > vel H ifbid haberc non poilis > effl)rmctur ex argilia^ aliavi 
matcria fcgmcbtum oviformc ^ & folium feleniticum in fpccu- 
lumpriasrcdai^umci app&cctur ita>aut fine ruga autpliczad^ 
hau^eat^^habebiturfpcculum^quodin milleformasbuntandm 
facicn^transibrmabit. Si enim fecundiim longitudincm illud 
infpexcris»videbitttr caput paofatim in conu abirc > mox in crcs, 
q^a(i}or>quinque> fex> & plures oculos punuJabit > jam os inftar 
/ rcopuIf>acutbafpcrabrturdcon* 
qm^, SiidemfpecuIumrecundumlatitudincminfjpcxcriSyliDe 
^onteprimoteipfumydcindeafininis auribus conipicuumrcJ- 
dct» n^ribus & ore nihil deformius efJcpoteft,nam ita finoosc 
prcKiucentur,prasfertim fi ri(^lum dcntium:monftraverrs>ut/kx(K 
fum maris lictus videripoffit: fubindebicfpitcm& tricipitcmda- 
bit : verboj mon ftruosa: appariti onis vari etas yix vcrbis cxpltca* 
ripoteft. ItaiQffTA^MfribKiaLucis&trmbraj pa 
cap.4. Mcta-morphofi 

£adem monuraplano fpeculo^exhiberipofluntvfipl^oom 

ipccuton 



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Magia Catoptricv ^ iSJT 

fi>f culum h fua fuperficie & reditudi ne vari^ 6( irregularicerde idimj^em^ 
ficiat. Hqiusmodiauccmfpeculuniprolibitufacilecxfclcoitis''^^»^''^^ 
fblioconfici potcft. Ex vitro autem fic fiet, Ubivitrca bra- 
Oea jare explauata atque poli ta flierit^deiHioinfornacem vicria- 
riam redeat9 6c dbda artificis manu volutetur>8c rcditudinem 
amitcat,acque frmrr^i, nr in d'^im ■ ni^^^^rtiriymljlftl^^ 
tur.acdetndebra&eaftannea inducatur,ucfpeculumrormetur. 
Hocfpeculum infpicjentis vuitum varie concorcum> introrrumt 
velexcrorfumcumencem>8comiHno<iefbrmemreddec. Similis. 
ecitmdefoiraai:ioconciiigec,fiinrpecuIireu vitrifpccularisfrica* . - . 
ciooe ac polatone ex ooa partc fiac ^caiiP i^i^ft^ 
van^ufichilatav _ ' . 

Propofixib IV. Mctamorpiiofis IV;. 

S^tultmqHod plures fa^ies/kmlyVnarttr^du^ 
^ariexolbratMoJIendatyefficcre. 

C Peculi-corpus foliduntr ab c d £ f ex vitro^ confiistur femi- Spieuiopim 

digic^lis craffitudinis , expianecurque ac poliatur co pado , uc 
exttna parte a f craffities iiicadamiwcat,cx,alicra v^roM^ 
B£ fiatiedioobliqua. bcedv ScveluticuJtitacsfe^Acui». HaicrM<»j^^ 
fimtltsfiatalia vicrea Iamina,autetiam plures* Hawmunafi^''''^*' 
perpaoaturaltcri,utapparetinlaminis £ & f, & ultima: feu yide Ftts^ 
iDiima: aliis oron ibus fubftratap inducatur brafteaftaniiea j &Iia-v;&yJ^ 
bebfsipeculum praeparawm.. In eo appairebuntf>IjUr]^(pe€ies>iconikim 
ona profendior & obfcunorig coiorts.qu&ro ajtera } &.<iuaot6 xvui«. 
longitis fpedantis ficieB^fpeculbdiftabincb £inifimmimagines; 
IbDgius leparabuntors fedpcopiusaccedCndo^j^r^itityQamco.. 
incident.. Slaccen/am candirlam objecdris^culo^inoli:2fi> 
mulapparebunt candelist^ St fpecttlaresJi^ tabii}« fuen^ ^ 
yct&i colbrrs>apparebit unaiacies unius^je&aiMki^Uscolbris.. 
ItanrtdW b. 17; Magias Natuf al cap.i;. £g|0 fpecdyb^ pjanisxemi 
iiqptavi>unumaIteri(uperponendo>ttttaA^ocidi ^PP^ 
BN^fiLetindiunitti^fiicci^ * 



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3fS ?ariia^1. Dte 

f ropofitio V. MetamorphoOs V» 
^BHobus f^eculu fUtw faciem hominu VMrUm 

ofiendere. 

"pvXIofpectda plaoaloftadi bti-adapf&incer fe eo modo,<]iio4 
•s^a» l^ximus(upraSyncagm.f.Cap.i.Propofic.u.auteciamPr<^ : 
tTMrMlVPoflcnt etlam arcula quadam tegl, uc occuk^ aper ixi ic cUudi 
irMiiim(>-po(Ietit adlibitum. 

eUmtxki- ' y^Q^ peTado,-(latue Machinam ita, oiaoibus ambabttlo. 
Ilentataffi>ut unuin fpcculumborizonti paraUeium,alcenHBve- 

Vidc Fie rpq«*fi normaliter priori infiftati& videbit infpedor Aibhoc 

a V. Ico- fitu faciemfBai6"fin« oculis,auribus, nafo, fola fronce & orcpto. 

jiitxni. minentibus. Si paul6 plus indinaveris , jam froncem quidea, 
os<8cnafiamincuebictir,iedfineuIlisoculis. Si adhucplusind- 
iiaveris,,ecce,quipaul6ant^oculis defticuebatur, jamquatiior 
oculisconiplcuus apparebic^ Si ad o(?luagefimom circicetgn- 
<dnm iocbnaveris (peculttm, jam bino capicedicabicur. Acq» i 
liucusque inverfum omnia dida phafmaca ficum habebuQt4 
fexagenmo ver6 usque ad quadragefimum <}uin€um ioclioati» 
utsgraiittmredafejjcQaiuraUfbrmacoofpiciec. Deiocepsrpe- 
«ulo femper magis & m^gis ioclinato, nunc ^<«^^«a/«^ fetidiw* 
Ims octtlis,nunc ,t(t(«<^&«aju<^ feu quatuor oculis prsrd^tus jyipa* 
Tebtt *> httnc binis capicibus , (ed v^cicibus con jun^is ridiculuf 

3>rodibic \ & fic (emper alia U alia facies fpe<aabicur , doQficoul- 
umampli^ in fpeculoipedacolum appareat. 

Si ver6 utriusqae (peculi fit um muces.ita ut utrumquevef- 
ticalem fitum habcat,fpe6kacor^m pco apertioois racioDenulti- 
:pliccmreddes,aciobinde cribus oculis in binis capicibuscooi» 
<»om,ea racionc , aua Sandiffimam Trinitacem cicpf Q£ere fol» 
«nts, uoo cameo ftibpallidiorcakero. Prxterea/i boc ucuooui 
«culom dbraferit ioipedocSc alceso apcrco fpeculfi iocuebifltt 
iiuoqttaln^omparcre pocericoculus apcrcHs,fed /emkpcr daiu^' 
adcomextcai^6cuUiraocttloapeitQ,iiyrafpeculuii)oculocui> 

io^i- 

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Wagia Catoptri^a; ^ ?f*^ 
^yapp««?rin(pedor,8ctotiiscaxusfcipfumiDWeatuc. H«c& 
aiii plora doccbitexpericotia. Ita Kircherus\of:- cit. lupri Me- 

tamoepbofiy. ► /. «. 

Sarpiflime P.Krrcherus,f«pecgp exhibuimushocfpcdlacir. 
UiminciiwMufeoRomae,fic nullusFuitinfpeaorum.qulnonmt- 
raretur , & ridcrct, ob tam Infblita atquc infpcrata phaenomcoa. 
UancMackinara Porta vocat ^culum Folyphaton ,. idclv 
muluTidum, (eu multorum vi(ibilium. 

Ptopofitio VI. Metanoorphpfis VI. 

T>ttoha l^eculis planis cafut hpmmu deor fum ,fede^ 

^rfiim^-vergenmofienderei 

/^lTanqoam concavorum fpeculcMum proprium/it,invertBrc$/*«ijif 
^olwcda,& horoinis caputdeorfum, pcdes furfum oftendcrCr^^J^J^J^' 
otvidimos Synt.igm. prsccedcnti cap. j. planistamcn idcm fierij^i^^^ 
potcfl-, fi duo illorum mododi^flo in pr«cedcnti Propofitionc/«<» 
adaptencur. Si cnim redum cificiantaogulum. autpaulo mino.^***"' 
rem. 6c fecundum ioogitudinis cohxrcntiam faciei opponantuc».vjje Fig.. 
orrnaoomedia. in altcroreliqua vidcaturfecics, tuocfpceulum^ t. lco- 
I^rvo^ veMexeroinclinabislatete>rcdius in/pedando , 8c capuMufxvn.:. 
intorqneri videbitur : ciiiro ver6 fecundum eorum latt tudinem. 
factenr<Mecabunt,fiet iroago huiusmodi, ut caputiofr^,pede» 
verofarfiim Tocati videantur. Qu6dfi ampIafuerint^cuIa,iro-. 
nj5^«dabitur inverfus homo , uti fuprsi.diximus io Condavii 
CatoptiicoSyntagm.j.^ap.}. Ppopofit.14». 

Fropofitfo. VIL MetaroorpliQfis Vlt. 

P^pa» ffcculo faciem propriaminverfkm^y ^ injtem 
fendtdamrefrajentare*. 

i>£dx»ri tuo applica fpcculumconcavnm ecoIlofufpenfomiaucs/#Mj!f^i 

nnanibos apprfehenfiim , & iregioncvoltustuiftatuefpccu- 
im glanam,tntra quod radiA|( vultus tuUs. Imagp y ultus cut^ in^^^ 

fpecula. 



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^60 Paitis L Ubcr Vi 

anverjim, ^pccyloplano ereda , refledeturlD rpeailum coocaTUfDitc^ 
^injten ^ertetur>nmutquecxtrarpeculufn profTiiDcbic. Harclccrumap- 
jmulh^Z parcbitiofpeculoplanocvcrfa,&iaa€rcpcndula. £xpefit€,& 

Propofitia \\\\. Mctamorphons VUL 

^fr Jpecula concavo^^onvexa reprafenfare mm 
humdninjtdtHi metamorphops. 



T^Jant duo fpccula, quorum unum convexum cylindraceunGt 
r fegmcotum 71. graduum» alterum ooncav^im cylindrtixini 
i]ti^o.eraduumie£mcncum. HascduoffTccula itain uoufncoo- 



*tftemU 

tcewnvexe ^ ^ 

m$rmrefnL'f\t6o[gc^d\itim rcgmcncum. Hascduo (pecul; 

jentmre. jungantur,ut unum appareat fpeculumiCuius una mcdictascoo. 
cava (it>altera medictas coiivexa>prout Figura appofita moffai; 
^&Mfra hoclpcculom rcdditphafmata. Nam diftanti duobusd* 

^^^^<fter cubitis/imago apparcbit commcnfurau& fimilisver^fbt- 
rcix ; mag^s verdSftami protcndetur imago in antcrius \ & prOi 
pt?is accedcnti ad con vexam fupcrficiem» imago inini^tieroal^ 
ibitdeformitatem^tant^femper roagis,quantd m^^isaccdleti 
nunc cnim in proitscam molcm^ntuicin curvumumboncfiiiino- 
db in roAratam (imrttitudincm» jam tn bifidam facicm abiUtful* 
tus totiSyita^aMicn^Qtmcdia parSfttrfom»altcf a deor(um¥Ogat 
Verbo> nccFrotbeiistntocfe^Qmas, fiK|upttcbocfpMiltun, 
. tranffftuitat Eircherm la cit. Mc9;amorpho(t 8. Stmili^i^icul^ 
Jfierf poCunt cftam ex fegmcotis fphasricis coiKravo-fooieusi 
lphxrico-cylindraceiS|CyUndracco-cooici69aliisqiic>quxlictt 
cfrcntialitcrqitfafi ipter fcfedifrcnint» itadiverfas quoq*> &pror- 
fus mirabiles transformationcs cffiriunt ; quas mclius l]uilibet 
acpcrtcot|^r<(pi:ia cxpcriripotcft qui^m cgo vcrbis dcicribef& 
Quod dixlmushacPropofitionc>unicum modo conficr " 
di fpcculumpracdi<9:om>docetP^;^bb.i7«MagiasNatuncap. 
JbisvCTbis. 

Nunc fpnukm einftrHerec^diimurf in ijuemultddfpdrih^ 
.mM^umm/erfttsHt^etfttdledifficiluf^ 



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^agtaCktoptfioL ^4 

MSUvel^imidcilfuuitatu^ qMd fict»Um^mherjSr;(^nhiHt ini^Mf^tik 
f4rti$mesMl^ndes iuAs^exfents^emqMmismunsm ^%tiAmitt%ju 
Mierms^^xnexdgmdt ff^mtn&QrfuefdtmmetiemMmk^ 
Jnde femdnnidrcmdahuUqmtidmf^ ^ vt fu6gm^ 

nMferfta^eci/iat^dcuiti^i^tsM^ ; cemrdridAUtemitjf^d^ 
nkhexdjf»i eritldtm\ rtdm ilSm4Udntitmeenvexdexcifiatur.f^d^ 

is^miAndrempremsneat. Inierered^lflumbeddoMtidtut tru- 
^ed^dtwenientisjiliii arcumiexdgenttXf^sengituiim 
^tresf^Pferans. Sicieinieincurvetur lameSa ,^t riti in excavatd 
infiiedilsfne , nhiniercaf^ievd rimtdarttin^udturvUd ; ^canvexn 
ffeefkksfnvdUfronnntnstuncinmnf^ 
Imtmienemrn^Jcencavitatisfmn^ 

ddimaimrdsg^finein^iimeM^recmM Sicfdrdtddr^he^ 
fe^Adjflsiiveialterim reimifturajfeculunuonfirudtur,^^^^ 
^ferfdikmnnsklidsefienietimamsum iivtrfitMes. frime.ieixtrdm 
Mmw^^Miehumnrjii-fin^dfinyira^imB 
fdymmntm^nifueritiexter^icidvm,i^}ld^ ^ 
nsersentrdgfnsknduterM viietituriidum, ii^imagtir^ 

aneeritttfremimhst^ £iaixanve^mmagisMceiesfi^^ 
fietimaga\ drquantemagis hdrebjs^eofietdef^rmiorr&eqmmcafiti 
m^gn ^tmU&rivideheris. ^lmdfijfeculuminctinahniiricUndbUurg^ 
fffd^ S^vMianiefitum^ &^etukm , varimidmsmn^iesSverpr^ 
^stnccMput deorfiimj & pedesjurfum^ & multaxof^ides^qudinfrdfen* 
Usdrecenferc §fm efie noncenfuimam fisfervciuhiUmfidemhcatumiVt 

ANNOTATIQ- 
T)Ofliiffli]s:& l^ecqtium ex onifribascompeMre/uk/uogif Por 
^ ^yVteefiikimaffnesomnesviieaniurr^udinmmibm^f^ 
Mmnemiuerdynnncminora ^nuncxlextrd^ nuncfinifird^dcfrofisisiUd^] 
remdtmti&MfUdUdifi^^ 

nitmideetur^mdnddmdginumsiiverfitmfite .^imilcfpecu* 
%Mzit^cdbger£x9XsA^^ ^ 
' Z2L 'qtk* 



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T ' - . 

^Sz Parti» l Liber VL 

qnouao cofpoft ipeciw fpecirforam conpreliendeVt onlMi^ 
plaoanv<^vam, curyami,Qoksmiiaren. Facies , qoafisargeoce» 
G|ippis,^quibuspotamus>i imabafisplanaiiiict cmxcoluffQQe 
form^^io cuppacav^mi) iotus,curvum raris. Moo(hificaappcibit 
pofluntliuiuknodi fpecula,quorum moltt in cemplaSm)(ni{4 
cafeQ fiiiflc ceftacor PiKiiMr liU>3»cap.9^» 

Propolitio IX Mctanwrphofw IX . 

Sfeculumpraparare^ tjnodocttloexadverfofdftiim 

niJirvnumcertumohteSumofiendat^ qu^diffum fdmk 

^htfit^non^deantur, 

SfiiuU^^ f? Legaatiffiraaeft hgu: Mecamorpfaofis,& prorfiis admirabili 
9€&Mmd$' '-^apcaque vcl ad iplbs Catoptrico^decipi£dos.Ceft^€gof» 
trs^fi!!^ mameavoluputeiilamvidi,cAmprtfflBmvidiw> Aitificiumiait 
habec 

VidcFig. '-^' Ftat^nieraJloUbimiftura,dcq*ia(upriPar.r^Pi«hiff^ 
Yiit.1co-oiiM>tMl^<si^ AiBrqQodin €s> cooftfcaataAgQlum^folidiMil 
xnii*redum'> vel quodidem eft, parallelepipediQli^^mdiioiaMira i 
& » fiaoc fpecmlanaac poliu , fi ve esroi fki miflura Id fi», fiMCi 
tryAallos i^veex fbbo ielenicis. Hoq fpeculum fi^ante ce Asme' 
rts»necteipftmiviidebiiy nec ollumobiaflum quodexadfrrf<> 
eft, (cdfolum ea quat ex mroque lacerefuotpofita. Qoaii^ima' 
gtnemquamcunque , ^r.a.Cbrifticruciaffixr, fecijmil^ii^ 
dium fi^euodum longicuoinem r finr ^capite adpedet>tt]WM 
partem coUocaverisad dexteram foeculr, af ceram adfiiriAmr 
ttautucriusque parcis femicaput ipecuho fic proximiim,emrm 
- bteri alcertflm kmeri •« 'pedesv^io oppoficum exporn- 
&antur> apparebi cJm ago in cegra in Ipeoilo r fi 
^lpjecrlineam ci> illudinlp^ 

/ [^ Poterisr. adccgcndumardficium, aoce fbecufum pfpger^ 
i|i30^vis aiiud, & femiimagincs itaimplicafengurisanterpccii^ 
Fum dcpic^li*, utdifcerninon poffint: apparebunt enimfempcr 
£:>lae fiqmi iXim figKpt^aiw verd ao{f ^eculumdepiaas nonvid^ 
, 1bi»iikmipr6^^ 



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' Magta Catoptricau ^ 
Fropofitto X. Metambrphofis X. 

^eciddplanoretro excavato idolum foras pro- 
mnens^aliaqiieexhihers. 
D €centtorum induftria fadum cft , inquit Pma fepc citatolib. ^f^tnUfU^ 
^ 17. Magiar Natur. cap.io. ut fpeculo in eodem plura cernan* /#r/fw 
turora, vel oniusl-ei fimuUchra,fiheprimi iqnpedlimenta Retr6 
CDim excavant/peculum A concavum pacvum efEngunt, ac ptlminen^ 
iadebradeoUmplumbeamtotitlorraiuiiiicutiti inde eoim fk,^^^^^^- 
utexca vata par&foras pcominere videatur.aiiterpeculiimr /h»rArf« 

Alij eti^m retra idolum feu imagtnem quameunque exca- 
vant»qua poteft fieri diligentia^&folium acconunodant/upri^5c 
/0 (ede locant: undequicunque fpeculumintuetur, alteriusrei * 
retr6ex{culpta;imaginem cernj^fQrasprofhiQcntemiquantum 
eoim profa ndttatii; nabet r^troTntra f pecnhtm , taptum extra 
/uperncienn anteriorememinere videtur,&nulluseftqui mani* 
bus non tangat Cpeculuni , experiundi causa num ver^ piu)mine- 
atidolum. Macai^e fi litstera: recr6 infculpancur ; fiipra fpc* 
cukitti argefitt) fidarvldebuntur , necian^u erit vifus 
acies , quin refpicieodo hallu- 
cinetur. 




ZZ 2 



LIBER 



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P«titl. Liber Vlt 




L I B E R VII. 

DE MAGIA CATO- 

PTRO^CAUSTICA» 
D^Speculisufloriis, eorumque 

cfiedibus&ufu. 

PROOEMIUM. 




mammddmffittimimn^^ rofmit^^iu 
^agijtV^tum 0* %4rtis arcanorum ammum maxh/Htmf^ 
pt^^^ofiffmum merito cenfindei^eti iUudmquam ^ qmdolm 
apuitSyrkcufiu, Marca Marcelia Ramanarum Tyuci-prti^fniy 
aS myiEiiffima aqueacingemoffimaArcJnmedey exhi(ftumejpj 
fiama efi conflantimultarum tefimonio confirmata y f^adnos 
njfi^ue propagata. Etqmdem natiar eft hiftoria , ^juimnjt 
narrimdafitplwnbus., Suprditki.cap.6. rem breyiterattig- 



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Magia CatOpprchCtufllca. dfif 

dje treventisi fojtqttmforcimyia, mantlrMque ferreis narveffi^^fio^ 
--ueymacrafd^endi^et,*velflaadorn^a^^^ fofiquam, 
ae miles Romanus fr»ptstsmaenth/tracceikretyfixisjagittiSj^^^ 
Zusque miffiUbMemtntisfu^dndofrohtbiMjjeti SyrAcftfam 9' 
fmfbuf^ncnfitk^emre frlminiSyneiln^ftiiieliiiS^imtmim s, S 
^ecdffexceftiSyindequeafelutiecArcerihuSyJtgrfodatVyemi 
turbinei^o pertinacijpmos hofies fubninayertt , cfajfemqui^ 
reli^uafff,qttaSicult 'Briaraimanuf ac mackinaf^yafiratbmn 
'vufjttfiievyflamniis cakflibtts, tnpendiamatBefnmetfiynwdiif 
ts^zmdtsiagentoj^eexujjerity Neptune ^eS^ante,^t^ nec- 
^mdqifamauxiltafiggerente^. Arckmedem ditipoft ftcutmefi 
T>rocius, ^iMZonara tefieteinep^.fiarum ktfiorsaxuminxAm^ 
^afis' T)«owiry V^italianicli^hnante(onfianilmifpoBst»§^ 
i fe fabrtcatiS) X^exmuroeregione hofitlimn ndyiam JuBenjTs. 
btffammarpity hofiem^ue: debe&tjpit. De hisergo^ecut^hoc., 
hco>affudum efii emmqutjwi^a^canffhfuBiv/vfiiSiattfur^lki^ 
Uns mukifUeesexpKcandi.' . ' : . ' r, 

SYNTAGM A PRIMUM 
Dc Spceulis eaaftfcis geDcratitD; <5c di^ 

IpEuencacDacava- ' ^ ' \ 

GAPUT PRlMaM^ • 

YSssentfiptcvSxsSQVi^pijithfiL^ 



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j6« Partii l. Lib.VI|. 

A^chiiM«& Pi<ocl6faiftd«t)i, & quocidMn^ 
jf^ta*»- 'CtMZt £(laticcni,Catopjtriciis blci^nis4»2linario noftroloagi 
f*rm efScs^cioracqae acutior : ooa enim fuiphur tantum , pyriuin pul- 
^** yerenn>ligna,alidquecombuftibiiiafibiappIicaucomburitatqi 
cootliniicj ied plumbom etiam ac ftannum liquefacit»aurunive- 
tfMmUv- i^6^1reliqua ihetallafi non liqittda^faUem reddit ignita. SoUs au- 
jt»Ti»4im ^^timcuiiii^|)Oi)«lioruro lUjCidorumcorporumr oequeetiani 
•^JT^' ijpis noftratis , radios prscdi^um effcaom (pcculiA cribuci«,ao. 
^r«aMtuniantmQ!ti:experienciaumen docuiti7^////[rM9», in fpbxricit 
r^omHt, foecults ntctallicis ignem excitari etiam ex apponu flammaDO- 
^[«JJJJJ' nratis igiMiea «Mn>4amroaperYpecuiumadappofitosc 

9ef«]ociQ49»r«flf xa , magoqcuiii.ftndoreaccendic canboBci. 
iuceft4|CuriprcApiar.7.Progymnaf.i.Propof.i.inScho]io.i. Nec 
quilibec radfj ignem excitant, fed refiexi tantum. Necquilibet 
reflcxi , fed i] tantum , t^m poft reflexionem coifunt & uniaDtoi 
illi»lr-fis.\ ^Kue ia igneper fyecohtproducendo oon (olurarir- 
cus uniuffiM^fVj^^^iis in rebus,r(f djila/ola fortis acefiicax. Vi. 
dendum crgo.cuius Formisdebeanteflefp.ecu^,ucradiQscolii^ 
gaoc^urendivimjbabeant. ' - J 

SftenUrM' 'Nbiiii6dfliiliyilk2^'eft,i'^^ 

ijjvjjjjj^ mcnkilare;aliatocalu4pcoftindiutcdiapb«na, pofteriore fc' 
^Ium!^. perricieopacaiqualiatuncomnia (peculavitrc^a, qdibusUniio} 
w«. plumbeareuftanneacftrupponta:alianmpliciccropdcjii qtulii 
funCchalfbc4»#iirtfa,argcnccaJli^ii^QCiUicar^ , 

Propofitio I. Tbeorcma I. 
JSSJSI. SficUtiimflanum j totaProfrndiiatfopacum.fi^^^ 

pofitumnonfr6ducitignemy0lumfi, 
«M». f^UiA iumen fblls & Ipcculis^hqiusiTixfcjfe^ c^^qra ,oon congw 
V^gaturinlocum unu.fcd diffipatur. Efto cnim fpcculuiu pJa 
Vi<kFie.^um ab, j^ocifi|aproiuDdiuceop;fcui^,(ol c, proiidfcmtt- 
i;jkooii. ^iosfiiosin iT: refledencorigiqir,absqueullapcnccracioM^ 
JWittp. • ^^gulbs a^tiiaild&aoguf Is ihcidcpci^8( qqidcm adpartcs^^* 
OTonflriYunus Ub. ff. par. i. Pra:i|if;i; "'Noii cf go c©ncurrunt,ac 

proifr 



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Spicmlmm 



profedeaecigoemproducece^Quiic. Oixi, fijjpltimn^^quia 
cum atiis;, laim planb, qiiim nbriplaiiis> po^ftprddtifCiere^^dW 
ocdicemusisrri. ' X\" ' \ 

r9fHj|:^olj«i (pecuK^ hpiusmcdi rt.tle^i,i\o|^ mii^^4i|9Ji^ ' 
V^turiqijirri rettcxi a fpeculisjjlaais: t^uo fpccufiim cdhvcxuin/^***^ " 

niam igicur bic radi t rcileduimir adangulos incidenciae angu- ^^^jcpluC 
linffjiuaiesj^aii^partes: £-,.conftatprbp5i«lW}i ;-iidfii. i'/^xvni;t5 
• \ • .Pi^jKifitro- lli Thcori<iilf*rt4t^^ • .i.'> 

QlTia radij folis:ji|<HbW?nmd1fpS*»lS i*fleir^^^ 
rundm. Eftaff^edilum coR^^MM^X^.-cbtli^fuilMefaiidlu Vid. Kg. 
t4cedplu!BiW;Stb('cv ^^faesid 0t)toitmi|icDta£likra^ixiu ke- 

PropoGtia IV/tKcoHSv^^ ' 
S^eculhtn ptdnUm^ Tota profundtfdte aidfhkWm> 

hm foh offofitum mn ^toduat i^m.\ ^ * V- ^ ' : 

^^ac diflipaaciiVyqiiaciiippJaflis toca prolTuhaitace opaci». Eft#Vide figp.: 
A>ecuIumplaQum ab totlfijaprofuncfjtate, afqueadulttmamxni koov 
/i|0etficiem ff, diaphanug),dida vefaulttmafuperficies FiiifxvuK 



G.* i D ver6pun<flo pehetrat 




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«aiialesreflofteatur io Hi ab h demqaedifcedent^ perDeodi. 
'cuiari hg, & reflei^encbr In t, iuxcal^es refradiomim, deiqiii. 
bus Ltbro feqtfeoti tn Magifipioptnca. .Parec ergoqood dke- 
bamus» quoniainlk^i)^rtfhft, necli|K>ftreinafpeculifupetfid« 
' fi^U^iiiftW^^^iWi^^i r«fleKi><^abucraquediiGpaotur. 
PROPOSlTiO V. THEOREMA V. 

Spfculffm corrvexsanitotaprofimditate diafhoJim, 

"Tc"^' fraducit xfftemt 

^Jm^ /^Uoniam in bujt&modtrpeculis radtiSoli s reflexi cdligiiow 
^^inunutn^oftq^ulemi prtma^ed ipo(lf«flnalaperfide.fib 
l^fpecuktmconvexum. AB, pofteriore parce gg plaoum,&i»- 
x«««^»!^.tS^|Vt>fanditateiiM,e^^^ gc, diaphainflii 

juCxnn.'fuiusipecuIicencraai£c x>. S61 c, radtecin e; inderacfin- 
^iflo^totnifin f>.^^tt£ufeii4K)uaiesangullsincidcnct«. Abi 
aXi^pfOf«giiievrji&inffn|iir.i:jMiii4^ 
- >;' . \nta ATU in e<;,rHf/i»i^ Oa wflfAen^radaittulosjcgualo 
;,r:M«iyitinip4eMgia;.*aiH>Ji^4^ 
4iiM($^li«|»> iSfJ@^ffpVir^> umi|9 ;l<kcumitoJmmunenivci> 
* /lis I.; uhde&^nemproducenc . 

SpfctdumM^fnfi^itdifitk^ priariparti 

^^priorc^nequelnjpofberjore Ki^ coltigiMi^in licuiRi 

xv.Iconi£p^i(t^qrff ^SpOCSLyjllA.^ t^^ diapbaoom , cuw 

.xvui. ^pi^pum. d/ Sol" c raafet in e. fefledentt)ri|idVrad;jiDi, 
.a^|(i|j|gulos jcquales angUlis tnctc^eiicta;. Ab pr^redfetitai 



tatia 



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MagtaCatdptrocauflica. 

intrarpcculuni,&refringenturadpcrpcndicularem ed, in 'f: 
ficab F reflc<fVcnturin g, adangulosa:qualcsangulisincidcn. 
tix:a G aiiapropaginercfrin^cntQr in apcrpcndiculari g 
D. Patet cn^o propofitnm quod non concurrant in tinum lo- 
cum^fed dimpcntur,ac proinde igncm noD producant^ 

ANNOTATIO GATHOLICA. 
r\MiftomHltds aUas Jpeoiloru formasj jfuperficierumcombindtio- Sig«u«i 

nes.ratione (juarumpojJitntaUa^aUa non poffunt producereignem^ ntsM^io^ 
So}»m htcadverto vniverfaUter.protota hat Catoptro-caufticajcientiaf rumpcr 
fqnum effe certum camgre^torumjolariam radiorum yfi lumen Solts re- fpc«ttlu«. 
pxumad corpus aUquodJbbdumynondiJJipetur fjed in vno tantum cir- 

exiguo appareat. ^upd fi lumen luminafiim hunc circuUtm n$n fa-- 
ciatyfignum eFfinderefiexum noncongregari in vnum. 

COROLLARIUM. 

p X diSiispktetjjpeculaconcavaeJJemaxim} aptaadignemproducen^ 
^dum. ^ufniam vero multarum formarumpofjuntefjejpecula con^ 
^avay nempe Jphdrica^paraboUcay hyperboUcai euipticay cyUndricayConi* 
) videndum nunc^an omnia vim iUamhabeant^ quanam pracipu^. 

. CA PU T IL 

^eSfecuhVflorioSphdrkoj^miruillms 

^pooaDtur,uc radtos jllius«xcipei« , acque Tcfledere verfusv/forM 
«uadem Solcm, qucant,dubiiim nullmncft ,nec apud antiquos,**^*^ 
oec apMdmodernos. DifHcuicastame non modica efl:, ubi ncfo- 
cushuiusmodi fpeculorum^yliocieftTitt^oloco fiac confluxus 
radiorum (yaciuni reflexorum,apcusadcaulandum uftionero. 
£ucbdesy\j4lh4^» , Fifc//o,€Mrd4ttM,ii alicubi etiam Ptrta Cnem- 
pe lib.i7.MagtaB Natur. c.4. licec a]ibi.aliter ) &alii cum^pfispu- - 

AAA unuM* 



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' '^artis I. Ltbcr VII. 
tarwit^locum uftioaii effe etiam ia ipfo centro fpeculi, qQOQiam 
Tiuonkh- ibi etiam fit radiorum dirc<aorum % reflexorum confluxus, at 
*i>infi,- moxpatebit. H^ff<,r<^«72;»x«* inTheoricafpecuhrphaEricicon. 
,*te-v/»*f*-^j^^i3pudtjW4«»«»» Libello de Pha:nomenis fpecuh ipb«na 
■u ««-^•^^j^pjjVics.&ipfeMaginuidicunt^bcum uftioniseflcin quartt 
partcdiametri fpecuh,hoceft, inmcdioIocotntcrc6trum&ru. 
^ pcrficiem fp^culi. Receotiores ndnc communitcr rtatuuntat. 
qucdempnftrant, uftioncm ficri intequartam & quinuindii. 
mctrifpecunpartcm. io- 

Pro intelhgentia hultts rei ,Suppono cum omnibus Attro- 
nomis & Opticis, proptcr tnfinitam propcnioduixi diftaotum 
SoUsiinohiwadiosab eodem punaoSohs in diver^aipccuIiCQ». 
cavipunaa incidentes,cenfcripofleparalleIo$,& eundeme8e. 
auin habcrcac fi revcra paralleli forent. Confequcnter igtf 
tidem radii cenfendifuntparallehcumaxelpccuhperccntn» 
eUii usquc ad Sohs ccntrum produao. 

PROPOSITIO l. THEOREMA t 
^dijSolis tranfeuntpercmrtmJ^e€idicoricarvi^ 

li reSta oppojltf , ^ in.idem centrum rep- 
Suntur i non tamtn n^f to in tUa 
centro, 

Tide Fig. C Seorpecurum fphaericumconcavum a b, cDhiscenWifn c, 
i.IconiC E^oppofitum Soli D, m quo aflumantur qqarcunquc puofli 
nif.xw. g p l\ radiabunt harc etiam per ccnttumfpecuh,utpatetcxM- 

«^Si^«uraradiattonts.dcquaLib.i.Prarluf4-fg*'«'«'q«on*a'«?2 
nJfmn punaaradvntinorbem^&iotrafpecuhconca^itatcmiiiieg 

/*r*«.irii»^^j„jj^ radiofum acluminofum , cuius vertex eft in 5olc,baii» 
^tou*' fpcculci Aroqoe in omnibus puodis inter/olen» & fpeciAM»» 
terjcais omnium pnndotitm radiantium radii ewntrwit,» 
proindcctiam in ecntro c. Puflaum crgo e radtat per c» 
K, & punflum P per c in r, & punaum « per c m * 
Et quoi^iam radti per centrum traafeunee» , Rmt fpccalopW- 
' Bcndfculares.reaeaunti» omncs in fe ipfos,&iaccotroiterui8 
, ' coo lun 



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Magia Catoptro-cauftica^ ^71 
cotiiiiiifiititiir>pcr dida lib^.Pan i.Pr«IuCa.Pro)>ofic.i« Quoil 
aucemdixi depundis t^^o, {olis^cellfgi debtt de quibus* 
cuoquepundis^i qitibus per cencruin c ad fpeculam usque 
diicipo0iiockQea:re&flt;omnes CQimherumradii percencrum 
^aQfeuoces.reflrcluncuradtdemcentrum. 

Ac cuf radfi reilexiincencroconcurreQCes,oon prodMcuflC**^ 
ibHkmigQem,(imaceria combwftibilis appoQacur?Non «nira J^^J^^^ 
i^bi miQus producunc calorem proprer geminacps radiosrefie^riiT/f rivr 
xoiK|uiminaliis pundis inquTbusconcurrtinc jic mox videbi-'**i?^^^*'- 
mns. Torfic harc difficul tas mulcorum iogenia»& incer caccero^ f^Migm$m. 
eiiam dodiffimum P.ChrrftopbQrum Griinbergertm in Coilegio 
K^imanoolira Machemacicx Profeftorem>&dignumP.Chrifto- 
ofi^ri Ciavii, ancecef}orisiui,Dircipulum&: Adjucorem,quiiQ 
Hcceris ad r.LMMrjHm Bettimtm K oma Bononiam dacis proponic 
hocdubium > cuius camen folucionem noiraccepic^uc legerepo- 
certs apod dKflum r^iettinum Apiarioy.Progymoaf.}. Propof.8^ 
Scholfo^. 

Re/pondeoa m cencro rpjecuh' non iieri combuftionem, quia 
coliiKratocombuftibili io pepcro » nuUus radius inddeacium aut 
reflcxorum > per cencrum amphiis cranHc. 

Non placetha^cniea (olucio PxMeUhkri C^rndo, huius Ope- 
ns Cenfori , non minus in Mathematicis , qui^m in Philofophi cis 
acThcoIoglciaifobcihucibus verfaco ; uodealiam qua? fequicur, 
<u^^ffit,qaam& Philofophiaefua5,pr«lo lani fubjeftacinferuie 
iio!3e Anima q^^.de Poccnc SenfitSed.r» Subl^.^.fibih^c ha«» 
bet. CntnmeHexpeHentiiincentroJj^cuUconcavingnf^ 
nim^tfi^UicfatconcfirfusrAdierum exfinguUsSelisfuneHs emifforum^ 
&ij^cuUreflex0rum*. RAtioMtemhMmrein^mefi .qupdcembuJH^ 
^ tn centro fpeculi fofttum imfedit trijeeHonem rddiorum:^idafi 
idem c&mhuftibiUfomturextrdcentrum^MttMmenfropeilludy nonjm^ 
ftdU traje&ionemt & tamen tunc nuBa caufatur in iUo comhu/HbiU vel 
^nima cakfaBio efuidem > quod Samen fieri deberet yfiin <entn> caUr 
^^nificmes^ret. y^aamimratioeft^ojudicio,ciuhdiilaradiorum 
€^ro cokeQUmmfttfft^efiibiUs&notabiUs^vt fojjitefe^mnfer^ 

AAA X s ^effibi^ 



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JT^ Piart» L Liber Vll. 

'€0ftibilem eiere. Pr^hrmt^ h^cdifftim Prknb > vfn&t^^efm- 
tii. Namjif^um Soli&f^idocmeafvo exctfiasi^ ioto^fuem velfMk 
wfiulu afomis temer^ exdeatis jAeno , vtMm^ radios refiex$i kftri 
^uaream&aumtamdumBetripMemd^ vmhsM^ 
tamfer(picuetatiiuefiintdMlaelefi£lrforemt. KAjhncentrd^tira 
centrunhnittalecernes^ Erg&ihinonfant ferceffihitesradif. Prcki 
fecUDdo ratione^ Rad^ ferfendiculares fui in centrumarepelimtmr^ 
etfiinfinitifintffunttamenfingu&afinguUstaenmnS^ii^ • 

Radif auUm fnraOeltt vel sfuafi faraHeli^ aui intra quartam& 
quintam diim$etrifMrtemrtfiiexione^niumurypnguliatot4^ 
mnihuseim fartihmfroducuntur.Er^finguliiOi a^vakntomnilm 
ferfendicuiarAtis in centrumreflexes^ AtqutfwN^li refiexifiss^i 
non fisntferteftibiks^ntsfuefojfuntfroducere^effeil^^ fercefiiMm. 
£rgo nequeftrfendiculares refiexiomnes fimul fumftifunturcefPki^ 
Us^antfoffunt fros^cereeffeiiumferceftibilem. i^Atqae hincekceU 
curfaraltetirefiexiidBaveantroburi nnntrumfifiainfiititiinvnumb* 
cumcoeuntyquo^um finguUatotoSote fiintfroduSiiy ^ confeepm^ 
quorumfinguti fimkaki]uo^modoinfin$tihquianemfe($nff$liconfia»f(^ 
fadiisqua^infinitis^quiah.infinitisSolMf^ Hzc 

lac rattoQcilliKi^ mihi difficire videtur » quomodb radil- 
paralfeli fiogMli atot<>fQle>.&omQH>usefUS partibus producai»* 
rar» ac protodefbrtiores &. efficaciores fiotqiiirti radtf tra&feiui* 
tes percentruriK Cert^radii eh.eic, itemradii GH*t^H)&^ 
^ iingulifrSQiis^puAi^is profluuQr>& tamefl paraireU6ini ^WnBi^ 
tione , propterimmochcam diftaotkim' inter Sofem Sl ^Kcaloflt 
De hisautem^^ 8i firaiKbo» e(k ferma^ & iron de aliis*. PoddMi^ 
cerero ,radtos ptrcentrum: tranfeuDtos» fic ad ceotrum redfiW» 
eJe nirois paocot» ac promde infjfficientes adperoepttliilQS 
ignitionemaurcale^ionemeffictendam \ parallelosauttaN^ 
le infinitos^ac proiode fiifficientiffimos^ Nam e& otimibeiK 
Infinitisradiisapun^ b proflueocibus^&intftr mMt 
^ecullinterjadistfolnsradius ek, per centrum mtjiGrttK^ 
adicenfcrumrefleditur^iidemvet^ omiies paralld^iMlte 



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Magia Catoptro-cauftica. 375 

fpoado^ic proiodc incer quartamfic quiptam diaoietrt partcm 
refleduociK. Quod dixt de radiis ipundo £. proBjacDcibu^n 
cbcieriam dcbecderadiisapUQdo ¥, kpanHo &quovis 
aliopuodoprofiuentibuK HocfidicatUTrOoftra ratio incoo-^ 
cofla manet, & hac rariooe ulcerius confimiatur Acqs hanc ipHP 
fimameflemememfuanoy feffus eilmihiulcrdP. Cornasus> c&mt*. 
^ luocmeaminAftnUamtegiflet. 

PROPOSITIO II THEOREMA 11. 

Rad^ Solir refiext a J^eculo Jph^eriea concafuPi^ ca^- 
Smt fartim ad finemdiametri aqutdifiafu 
tisradiismciiimtiafparhmmjratfArtm 
fi^rafMm,, 

''-'aibus ex quk>us etiam^patebic, ubinamfitlocas comboftiow^ 
Bis»i&di(^ls fpeculis. 

PROPOSITIO lir. THEOREMA IIL 
JUdfSaUs in jpeculo /^h^ica6onca'&&,cadf»fes $» 
ftpt^M a^ J^ecttU polot remota latere hexa-' 
^ni, refieS^mttir ad tpjtm ^tnti 
polum, 

Cft/^ccuTan» AF> cuiusccntrunr c, Sraxis^hocefttdianicter^yjje Plg^ 
^per centrui» (peauli 8c SoUs tranfiens, • g polus verd , b j 1 1. iconK 
iadi(islncideas,.8£axi praedidloxquidiilians.iit ea, cadiensiaxix. 
fOKk^vm- Jtt remonimapolo b; Iaterehexagoni,hoceft,gra- 
dibus6o; Dico>radium £a reHe(fli ad iprum^polam' i> fea 
ad^calcem axis dcb; Quoniam enim angulus bca,. asqualis 
^angjjtoincidentiae £ a c, penp.prt. &eidemanguioincidea. 
liae ^c>. aequaliseftangulusreflexionis cab} eraocduaanw- 

AAA }, • gjlij. 



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/ ^74 Partiil. Lib, Vll 

gulf j c A B> A c B, inter fe cquales , per u Axh. prk ideoque 6c 
uteraAB, CB| «qualia,^^r^^i.Aclaciis ab edfemidiameter) 
ergo&latus CB eritremtdiamecen Radiuscrgoreflexus ab> 
cadicadcalcemdiamecri dcb> boceft,adpolumfpeculr,quod 
demonftrandum erac. 

PROPOSITIO IV. THEOREMA IV. 
tiadij SoUs in ^culo concavo ^ cadentes in funSla 

a Jpeculi polo remota plus quam latere he- 
m xagoni ^ refieSuntur infra folim 
. ^ecuU. 

\iic Fig. Clt ut ahtea fpeculum a b> cuius cencrum , axis » 8t polus fii» 
II. Iconif. ^iidem,radius ver6 incidcns fg cadacexcralacushexagonuin 
«iCxix. ab. Dicoieumreflcdlt infrapolfim,verfuipundum h. Ouca- 
tur^im^pun^o g, adcencrum Ci femidiamecer gc, fiatq> 
aogulus reflexionis cgh» a:qua1is angulo incidenci;e fgc. 
Quoniam enim «nguli fg c^ b c g, a:quales funr^/^r i^.pri. flc 
angulus BCG> maior eft angalo bca, fer^.Axhjfri. etiteu 
laromaioraoglLilo BACyquianguloBCA apqualiseft,utdemoo» 
ftravimcis. ^icrgoradius ea, cadensinlacushexagoni>cfle- 
^cur ad calcem diamecri d c b, radius f g, cadcns excra la- 
txxs hcxagooi,&cooftitueos maiorcm aogulum cum fuoradio 
reftexioois,dcbcccadcrciocradiamecrum dcb, Bcmpciopao- 
dum ubi cam ioccrfccat , quaodoquidcm bafcs gc, ac, 
aeqiialesfuot. 

COROLLARIUM. 

17 XhisfAtettfiumtomMU radim imidentiacaditextrAlMtmhexM^ 
^ gonijtantomd^u ra3iumreflexumcadereinfra Jpetulifohmh 



qu$niamjemfer makrem &majoremfacithngulum 
^umradioincidentid. 



PRO. 



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Magia Catoptroncauftica. ijf 
PROPOSITIO V. THEOREUA V. 

%tidif SoUs cadentes m Jpecuh eoncavo f^hArrco in 

f^m^aafpecuLipolo remota Utereo6togoniy 

refieSlHntHr ferfendicuiaritefjufer 

\ ' axem f^ecHb. 

Cit/pcculum A Bj. cuius cencrum c, axry dcb. Incirfatra. - 
' '-'diusSolis EA in puDiflum a, diftaDsipolo ^ \^tcxto€ta^^^^^^^' 
goDi, boc,cft,g.radibus4y. Dico,radhjmrcflcxum af, ^^^^^^ 
perpcndicularem axi dcb. Ducancur enimdua^rcmrdiame» 
tri c £, c a, & angulus rcfl^cxionis c af fiat asqualis angulo 
incidcncias cae, & producacur rcda af usqueadaxem. 

Quoniam igicur £ c, c a func femidiamccri quadrati circulo ^ 
in/cripcibilis , ex iuppoficione s eric angolus e c a rcdus ( nam 
diamccriquadraci in cencroadrcdosanguIosdecuilantur^ctkB 
efficianc quacuor angulos > 6e incer fc , 6c quacuor rcdis, xquales» 
Jeri^.&i6,fri.) ac proinde rcfiqtiorum duorum quilibcc femu 
jreclus,c^inter ie a?qualcsijnc> jp^r 6/>ri. funtaucem &:angul» 
acf.fac, femircAi>quiauccrqucaequalisc{languIb CkE, per 
x^fri &peruPr0po0L Prdlufy lib.6. Par.i. Redus crgo eflfangiw 
lu5 A£c, &peda af perpendicularis adredam cb. 

COROLLARmM. 

O AJ^ filu $mncs cddentes interdua punSta , quorum vnumeflrema^ Vidc Kg., 
^\tum sfelo ^icuUconcavij^haricilatere hexa7$ni,& alterum latere f n.Ico-^ 
s£iag0nit rejUButUurinfrafunStum F ferfentScularts A F, tfuiatunc^^xix^ 
' %adi reflexi eficiunt angulum angufo E a F maiorem , vtfatet. Radif 
verocadentes interfolum & funiiumremotum a fotd minus Uttere o^ 
£i0goni^ refieQtmtur fi$pra funHum F, ciuia tuncrad^refiexiefiiciunt 
Mt9gulumminorem angulo E a F. rnde quanto radius incidentiA vici^ 
Mi0r efi axi © CB, tMtbmagisradimrefiexionisrefieclitttrfisfra fun^ 
Hum E verfisatxntfum c i 

Pro- 



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37^ ?artis l. Libcr VH. 

• ■ ' Propofitio V I» Thcorcma V f. 
Jn reflexionilms fpecHlortm concavorum IpbmcorHm 
Unea reflexionis ounquam afcendit fvfl^ue ad quartam 
fartemdiametrtfl)ecuU, 

^j^^ 'CStorpecuIum AB, cuiuscentruin c, &radiusroIi5inci(lett 
IgQf^-^-^FA^qmntumvisdiametro DCB vicinus,radiusver6refle»is 

ouCxix. iit A£. Dtco^huncnunquamafcenderevfqueadquartampar- 
«emdiametri dcb. Quoniamei3im,quantumvisradiusrefle- 
am A£ afcendatverfus centrum c, femper anguliduo acEi 
c A E> xquales lunt , uti demonftratum fuiti erunt & latera a Ei 
£c, kroperaequalia^fr^./ri. Eftautemfegmentura be mrntis, 
<)uiiii latus K^ferj. tert^\crgo & minus qu4m fegmentum ec. 
>4unquam ergo b £ fegmentum eftdimidium femidiametri,nec 
^rs quarta diametri > ac proinde nunquani reHexio afcendituf' 
•queadquarumpartemaiametri. 

COROLLARIA. . 

4,Bcu« P AtetexdemonlirAtis haaenm I. errMjfeAntiqMSy qttidixertmt,}»' 
^ombu- * ctmcmbuponiseJleincentroJfecidiJ^hmcicencAvi. 
ftionisia f^f^t It.errdJfef.^pnim&AtiiKtqnidixerunttdiBumcom»- 
Joneavo /lionisUcumeJfeinquirtafirtediMwetriJivetiMyefepr^ishntem 
*bifit. nodiasqutrtafartif. SitutemvtUm yfietiintr»ktttudsnemqnmt 
MrtiSi&nonvltrAverfHscentrumMnedixemnt. 
- ^ ■ f4tetlll. UcumcombufiionisnonconJiJiereininSvifibiU,il«i 
fitn tMtum circA funBum £ vniuntur rad^ repxi , Jed etomn tnfn 
timStum £ verjitsfolum ^.froutffeculumefijefmentumm^mft 
jSbrfr-rf. Marinus Merfennus notxt in SynopJtMathem. Ub. i. t^ut 
p4r, 1. theorem. i. SiJfecuUdiameterfnduorumfedumreghrum,»f* 
reliiMinfococircamedietatemfemidiametriyfed cttra &vltramp 
tiumtriumautquatuordigttorum comburere, ob radiorum muttitua- 
nem, d-condenfationemintotoiUoffatioexifientem, i^ugdfiverKn 
e(i,ttihilcontra nos continet , quia idnon contingittrofter radtoseti^ 
jcfiexosfedfroftercaloristntenfioneminlococombujitonu^ 



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MagU GatoptiD^aiiftia. 

*mcukmtUfMermt vicinUns fiU %\ tantivero minm idtiverfisi £ 

fitndiriiifilemrMdmriflexpSiqfheiUiremHiiresfi^ 

tid d fdl$ htfiudbMxe B OD. 

Pdtet r. hene fintire kecentierjfs ^ emhnfiienemfieriintereiudf- rfkmkk. 
'Hm & quintMm fArtem didmetri^sdi , ^niam^ ce m m un iter ^eciAd ^!^^ • 
vfierU concdvnfihdricdMntnonJimttdm mdgndfadmm Jphdrdrnm fi- ^^mnim 
gmema^^vtrddijreflexidefiemCmtinfrd quintdmfdrtemfdntauidinp^^mJiM- 
qudcunamfiecuiiUngifluretTMdijrtfle^^ Tl^^ 
tdm,qudminfrdquinfdmfdrtem. ^ 

Propofuio VII. Pjoblcoui I 

Sj^epulocancavo jfhmco ignem accenderean^ 

telfecidimL 

'COycxponitol^ctttefn, ica ucctusTadiosdire^^ excipiatt dc 
*-^quantam ficri poteft > fpcculi diameter tranfeat ^ercentrum 
'ft>ecu!i& folis: Tumjufto^(patio,hoceft,eoinloco,qaifpecuIi2JJ^^ 
fx>cu5 appellatur , 6c a nobis inter quartam qnimaffl diametri ^^JSu!i 
partem eftconftitutm^ aptumquodcunqueignispatiulumap- 
ponito» Videbisnon (iiieadmiratione>flammasmateriam com- 
4ra(^ilcm,quarcunq; ^ fit , a>ncipere; relli metallum eft quod 
ibcuro^ccupat , tpfum dtffluere » aut excandefcere, nontardifts 
qu4m ad carbones ▼efaem^t ius accenibs ferrum ig&elcere con« 
•iucrit. Ratioexdidispatec , . 

Verunrtamen eft , non onmia fpeculacandcm^vifn habere SfiiMiu 



vcombureodi : quacdam enim citi jls/qusedam tairdins igotmftc-'^*^^ 
cendunt ;^cut quapdamad majjorem ,<)u«dam ad minorem di- j^J^^^I^ 
-flanttam opetsantnr , proot majo^aaut minerarpecula, Jioceft, t;f»»4i. 
majoris aut minorisfpfaarra: portiones fuerint. Exper^tia con« 
ftac , (pecul»mioora urere & comburere citius , <|dinMnaiora/ 
. qoia mtnorum focus minits diftat i fpeculorum fupeirficie con- 
^caTa/^uJimroaiQriira; acproinde in illisroaiorem vim habent ra« 
dij in focobniti^ qui^minfais, quia roiniisinillisqu^minhisde- 
i>Uicantur|proptcr miaoremelongationero. 

Pjo- 



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57« lWd» L Lilicr VIT; 

Piropoffda Vtll. Problema 11/ 

S^eeula eancofmj^hdmo ignem accendere 
foJlj^ecHlum.. 

Mm pjt lAEmQoftravimus w pcstced^dbusjfpecuJum coocavum fphf- 
gn^mn., «L/ricumii m^dioiui puado ^ feuipolo, vfquc ad fincm latcrii 
bexagcAi» mcra^cuiumTcflc^feradiosvV^^^ 

ful dianietri pa^tem \ partes* vcro /pcculi qu£ dmant ^ polo 
; plus qu4m latcrc hexagoni > rcfic<flcre radios iofra fpcculum yqc- 
fusextcriorcmacpoflcxiorcnvciuspartcm. Hjncncutracione 

Sriorumradloruhi cofflbudio fit intrarpcculum > ita rationcf 
ieribrum dcbct: ficri cxtra fcu pofbfpcculum» Exfcindaturer- 
^ gocfpcculdconcavo rpba9iucoparsilIa&ndifpccuIi,qu2clattr( 
acxagoni circa polum circuitifcrrbitur, &. relinquatur rcliquuni> 
&tfiacvehitifafciaq^aidamcircularis,(cuaiuiulu&,proucapp«ret 
VideFjj^ ikkappofica.Eigura/8copponaturfoli'i rcflcdcncuromncsradtj 
v.JcoQiC iocidencla^ extr^ rpeculum verfus a , ibiqueaccendcncmac^ 
uamxoinbMflibilem.. iyr/iiJibj?. Mag|2 Nacur.fap.i4^ 

ANNOTATIO.. 

^^Otmi^iA€C^\ ttfivtimmens fiitc^ndit^^ferj^eemkm ^hm^ 

mamr^Munmm^»^iy»mn€s man^utvmm^ jidiuUratafi^t$iiMrt' 
fiedlmtHrarcAjbecutiSjfmetrumynomfmefi^^ 
^ tMXyqukm^Jfitfiddvmiff^ 

r^thmfieripoffitffdtthitex^^ PtAJ^Ux^efut^f»' 
'Fr9fifitJi.inCon/Ur$aifittf9fitaiB^ 

cuUcorrrfpendedtfi^cefrC^^ SedfinJliinrvehemeMer^vtfA' 
tebiPex^qmnti-Digrefijone, Difficiieeft^ulfi^nare.qmmtiird^^ 
muitituidorequiregMrAacamlmfendum.. Raphael Miramis^jvJM^' 
duB^feculeridfmtfiufficeriviffntiqueitmr^: SedSvinUjpii^^ 
CirtiMinfiMefeteH:.. 



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Magia C^coptfo-C^iiflica. sfp 
DIGR^SSIQ CATOPTRICA L 



PMarHis Bctcinas pucac id fieri po0e Apiarioj. Progymnaf.l. c^mh^tu 
^PffepofitzxuiusCfCulusliic eft* rfiiB^^mumneiCittefmcastn '^MT?^^- 
€€9ifoff€ctiU c$ncavi ^kmricivehmentiffim^: f^^^i "^fiorij ^e-^^^^^ 
minMdef^rjiMd^X^c. Poft ciculum aic,arcis cfTe ica folares radios c^wi, 
callt^ej uc coUcdireftraucuooinoesin /pecuii ceqcrqdeciiil 
Xcot » iDcavamlpbarricain fuperficietQ tanquam diaiiiecrf o- 
nmes iocidentes rwrfus ad aogulos ajcrimque ^equales regefaa* 
tiic»&ieit>cerrecencineodempundo^ucveoc0ieac^^ 
4iftio. Sicaucero(verbaBcccinircctcojfic. ' ' * 

\^ccifi4anr iuhi^s fdrahslicus a <de quo Syncagro. requenci vicfc Tig. 
rnosAicemus^cstuhlatinsriieJili B ^pponaturytnmorianguJUmyulconS. 
(ti^uoradij fiUrts t^e^cogunturi 

cdvnm (phdricum « v>,fid4ta,vtfun£lum c , ^uod centrum ejljfhdrici 
JfeeiS%fUn}£tiBiueonMinoiCongruat^umfuh£iov^^ vt>« 
raSoeffffMnBacommuniCyddjiuod&radijfertuh^ ;\ 
t^rM^rrmt^^quodJfecuUetiamffhdrtcicentrumfst^ra ' ^ 

fofidecujfanones mutuju in contrarium re£ia dilafficadenrimcavum 
i> E, ^ finguli^uoniam fercentrumtranfieruntfacient vtrtm^ an^u^ ^ 
losdaualesfemictrcftlfntm (^uadnonfilt^ex^yfri.Vi^ Sedettam 
rxisSfifttdafudnonHvaradoxnanguiorunh vhi demfnaUbsisangfdiisfi^ 
mi€irctsUrum>!C^c. &ex I^fimt. 17 Mx. EucHd. demonfirari fotefi) 
hoc efi,angulosincidentia angulisr4^exionssjaquaUs\ac froinde reflica- 
huntufinfeiffos^^rnrfmferc.Jeficahunt^ Efc^uajocundafeifione 
attjueconcurfis^idemfunifum c^ifficikttridfrimo^vt vssfmSiivfio^ 
rij:ci^fnodfifdf$rmhiflicoJf^ x^gomineturferiterafameo^ 
tnndemradi^rkmrefiexionemdefiecuUf^h k^c quemadmodmro 
frima r^uUm^umjtfttrahoIa inttrjeSliovi^ vrendil^aLehatyJicc^aJfe^ 
enU f^micoficumld interJeBio eorundem omninmradiorum fisam , ac 
ficnndam etum iffi ^im/urendi haheatnecejfiefi^ concurfrtot raMo^ 
rssmin ynum. Ham fifaralleUradijincidentes in cavumffcculi Jfhn^ 
ficiticetnon omnes^fid tantum fauciaUqui ( vtfatei ex\o.&yL& 

SBB t fiff. 



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jgo) Pswrtiti: L*. vn: ' 

fiff.PhtiJm.Mimr0hci) refic9antMradidemfnnittimt vmnttAmew 
iMe0\ efMnthmMgispetvftU ^ imcidenttbm emnihm refiexU sdukm 
p$n£ttm jaminaffHvfiidmis f4^Jbtm PoftindM) fubiungic 
BctnfiusiiiCorolIafio: Hinchdbesvndeziond iltius vfterid^ijusm 
iPertOtPr^ofiiiiVimfiltemadflrtuUjfinonaugeas. NinnexfraSSit 
radiiabedz^nMreflexinonvidenturtAmcn^^^ 
finete inynum tun£lnm\ac frdterea refiexiojit ah ambitibm faucioriOM 
eircnlornm, qnam ijfint > i auibm radijadpuniladiametrirefleBunnn 
Vfixta fartevfiorimecuUjfharici ^uffobcaufasdehilhrvideturfit» 
tnra ea rddiornm a zona confluxio. Sitrgoad verticem fyramidnroi 
du^fa fonntnrcentrnm fuffofiiialteriitsffecnlf ffharichpet (vt diSm 
tfl de tnbo faraboUco) radiornm^ferfuniium centtale tratHenntiumw 
< cidentiMsn cavumfih^icum i & exeodiametraUsrefiexionesregerelu 

f^Mos inidemfunifiM tVtfie geminatum ^ r^bof^Uim fojfitvimv^ 
fioriamfr^fiares. 

omkufiu HdKBetdnus^&fatisingenios^iminusumra Ve^ 
2ri^^ riflimiimcft,in utroque cafu , parabobcifcilieetflt fpbau^id tuU 
^^j^cM^zv^erinmcomhutcnd^ £2[lfiraitamen, fequipoffctiftiooeniTt 
fpeculiappofici:iTainponto«omba(bbi)ilisceoiro»c, ccfl«tcK 1 
innisiocidenna&.renixioradtoi:tJin incrifpeciiiuai} nihiiergo 
ipvacipeculDm cuocad combuftionem>lieetaDCca juvcri cadc» 
iefa(fliQoem/eu vim combufttram; . 

Dl GR ESS4 O G AXO PTR I CA. II. 

ytm, ^iKuiadJtfidMtfdm m&faffuum . 

9fH»ktm . A Sfcritid C<r<C»i)aIib.4. dt Sub'cif?C. p4g mfW i^^.- 6dfttoi» 
*^ Lug^un. Annii5 hU verbis.- Stdfi.propop»mpficerefie(9^ 
J^plwt»,^mjquod frecuicomburM , quaUffciffi GMienut furrgt^Archimeiem, 
tmfmiitf quihoftium triremes det^rit; mAmf(ftum^fi\ Jjj^cuUi fimk-pgnMc 
^ fiimft4fuerint,fiukcircul5*cJ^hfKAimsximi ePoferterCy id*fi,fer' 
.ii«mm*iam4rumjpb4r»rum i^utcontrum mMcimtnim t firsMit , 



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MagiarCatoptro-Caudica. jjs^ - 

girUmjMM44memmaximdm4 Felutfiadmillff ajfusfxtendereignem^ 
libfAiy circuLmdefirihemu6,€uiuidimetiens(itdu0 miUiarfafifuum : h$h^ 
im tdtftam ajfumemm fortionemM rotunditas n$n lafeatifdrtem fiiB^ 
cftfixAg€fimam(^lt\tzm vultdicere, aut partes feugradus^o.)^' 
dimetienum fro altitudine in termino vno adijciemm > (jrdimetien^ 
fix0 circumagemm circuli fartem * quanohU fortionem ffharddejcri^ 
bet : quamciimexfolivenmuSyignemfoUexfofitafroculc^^thibdiJJh ^ 
mum ad faj/jss milleaccendet. NuncautemnonadeovtikiyohbellicM 
mscBinas : oUm vero tutijpma. ^^ua verVa fsrabok froeedit conjU- 
grMiidJfOtentioreft. EaaHtem(icfit^(^c. 

HaccCafdanus, fupponens» uteodemlbcopaul^aDtidl-* 
xcrat> uftionemfieriiDC|ntrofpeculiconcaytfpbasricL Cirea 
jSarcCarddnlyerba^eiusquepraxiDfpecuIiconficiendi^/^^rMh^ 
habet Jib. 17. Magia^ Natur. cap. ly. Dij boni ! quantas ineftins hit 
faucisverbis committit. FrimoJfecuUmtadmittefafi^mcomh^rensfr^ 
mittitySiuodadJriginta fere fedesimpoffthile judico , cum vaftu magni^ 
tMdinueveniretj nam adeo fUna Jhferpeies eft coni,{ctrcuh ) qudvt^ . 
liqudm curvitatem interciferet , vix iantd magnitudinu confcifoffit. 
T^dterea circulum dffcribere , cuius diameter Jn dko miUiafiaffisum^ sfud 
drcinajn sjua flanttie, quihm motoribus vtoiuri&a AUdJunt ineftidp 
fUMdmi/timus, brevitati^onfulentes , ne lonpares videamun Errms 
€dufih nunqu4tnAecuU eiujmodi conftruxiffefuit : nam fi^fertusrfflet, . 
diiter^iicMtmept. SHttAiu.proxl\x$hzkct0rchermi^^^ 
\Jaib.pan5pdifliD^^.cap.i.Coroll. I. 

Sfyeromeilet, uftionem fieri in ceDtroi €c Cardanm folam' 
fbeoricem refpiceret, DihilreprelieD(ioDedigDuma(Iereret: ate 
qaaprtnM piPselcribit, merito k Porta fic Kircnero y^ulacy dcie- 
rtl poeris rideodum expefiitiyiraiioquiD dodiilunus. 

PROPOSITIO IX. PROBLEMA 111; 

^oncavoj^cnlo Jphdrico in ^vmhra^^ aulloco aSale 
non Ulttminato^ accendere ifficm. 

^ Ottoca in conftituto 16c6 fpeculum ood cayum fpha^icum, ^P^^^i 
^^nte f|ieculum difpooe ma tcriam combuftibikm^iD taiita^Jj]^^^' 

BB^ y. i^fpt iuvmhao. 



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-382 Parti» I. Libcr Vn. 

irpecuIoiiftaocia,<)uamum abeodiftat locus rociicupuodin- 
iltao^« «Deiodcinloco alioiiSolc illumiQato expoocSoliipecQ- 
iumplaiiamrOt radios exdpiat^ idque ita di rige > ut illos refledai 
inipliwn ipeculum ooncaYum. ReAexi enim ab hoc concavo 
fpeculoradij^imi^tur inloco, ubi dibo/iu eft combuftibilisma- 
teriaiMmqueoccendeht. Si anumipeculumplanum ndofuffi- 
<it>addi^o€o&aicerum>ac tertium: poflhnteoim plura iu difpo- 
M a€di]%i#ucomoiaxadios in eiindcmlocumproijciant, uciofri 
etiamdicemi^. 

Hacarcepoiiecisacceodere tgoemjn locoquovis^quaTo- 
Juerishorafdummodo Sol Juceat^ H fpeculum planum & cooa- 
yum, materiamque combuftibilemtffate concavum ita difponas 
«toci;^eftpcricQiiaj}ra:cedein:e,ut horacooftitutS^^^^ io coo* 
^yttm^^coocavumiocfcam k^oisradiet. Uciicerithocartifi- 
^imi«dx:(ioiculospro fubruendis mamibusfaaosincendeodos, 
^cadfimiiiaalia. ltem£quisincarcerejautaliolocodiinto,&i 
£olenonillumioatohaberctfpcculum caufHcumipodes tuioto- 
ico aSoleiUumioaco coQfticutusdcriyare ad eumope fpeculipU- 
.iirjFadiosSolis»6c^iprc(qpcaufticoignem eliccre. ^rxterea poffet 
<)ttishoc arcificioilQcigqepulvei^cm pyrhuniDa^oeo cormeoto 
l>cUicaaoc6odcre. 

PROPOSITIO X. PROBJLEM A IV. 

'lH€4nfiomskcumia^eculo£oma 

'Cm^HftHyr\XXQnUMi ioc^fionis loGmiodiiltsrpccu1iscfttoKrq«acttin 
^^&quintanrdiamctri pattem^^iifcias rpecuhdiMEiecr«ii»iii^ 
-£^^^7- f^niidiamiecruni^fcaoeotrm etitra pocemJocumjoceo- 
Mtri. fionis. EundcmlocumincenfioDis»ut6c€cncrumfpecul4ioTe' 
oiespraxicxpiicataUbropra:ccdtCap.3.Artic.i.quacn vidc 

MArcanum Catoptro^aujiicum fro J^tcHUs ^harica 
. . ' r: .. ^concavis. 
^^-^JJJ^^-^r^ PraeluCj^in Annot^oft Pragiw- 

^M^m !*^ciam X. coocaYi fpharrici fpeculi menfuram efic Ipha:ram5 co- 

iwfcr 

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" MagtaCatop|ro-Cau(lica. jg^f^ 

itssfegmcncaquaotuaivis mto cum ceotrumbabeantidem} 
etiam iocidcntia radiorum eafiJem reflcdtendf leges fervar,ac in 
(egmentis maximissunde & fpecidbrum qnantftas^ utrbktemdi^ 
sumus > oon fegmentorum quancitatc, fed^drcubrum feu fphx^ 
rarum^^quarumregrhencafuntiamplitudinemenruracur. Hioc 
fic»utoptim^notavicP.i(:irci&<rricjLib Lucif&^Umb.pan^. caf. 
j»Pl-agmat.r. rpcculia.exqujbuscunouefegmenciseiufdem>(pba:- 
rafeucirculr^quancumvisiffarqualiDus > vircucetamena^qualia 
efle, faltem quoad ani^litudiQera fpfaai^raKadivitatk feuicomtilr 
fttoQfs. -Dixiir/i^/^monehinKibfoluteid verumefl: nqui4emr 
utidemnotavit» recretioribus Catc^trica: difciplioa: Maeiilris 
iiiD&tuitifegmentaaJiaaliisutimaiorem in reBedendis radiis Ur 
D/ooem caiUant,icaefficaciorem4^Uoque & ilfuminaTidi Sccom- 
burendi poceflratem acquirere«. ipfemet Kirclierus obftrvavit». 
/}}ecu)ari&fegmenti iS.gradusfubcendbntiscavitatemiOmoium^ 
cum adiiluftrandum poceatiflimc, tumad efficaciflimi^ 
rieodum a|p|flkiiMP!€0iR:: in axem reverberatos ita. 

circaqiiartamdiametripartem a vertice feu polofpcculicogit,. 
coardl^icque>uc paraboUcuxnqpid rcJ^rre.videacur(cuiuS|UCi vi- 
did>imus,p ro p r i umdlftQiiMMltradi^^ 
oamfbljipesradiosintraduodccimuuniusdigiti fpacium omnes 
colligic. Dctermmctur igitur, fubiungitidem P. Kirchcrus, in 

3uocuoqK'^culo vigciima pars ciufdem » (ive fcgmentum odq- 
ecimgraduum, £c tux«Mi0c fegmcntumconficiatur f(>eculuns* 
'.qtoodfpecuium.fi reJiqua non dcfucrint , fcilicct dfcxteritas in o-* 
perc^materiacongruaifupcrticiciasqualitasjlqyor&politura pr^; 
caitcris ofiioibus^ tandem & preciimi lequetur ,.cancumquc pr^jp- 
ftabicfpcculum huiufmodi diamecro (feu diftancia incer duo et-.. 
trcma raaririnis pundadiametraliterdiflica^novemdigitorurni. 

quaotuipeculum ingens 80 Jibrarum,^ cnum pedijm 
Hoccnimica perfixtumcfl5U|riihiljncoredundec>id6laperie^ 
<^ius, &j6ngiusrcficdit, radiosftriogeijidomcIiusuriCi uc jam^ 
9^idlibet:ultrahuncgradumfpeculoadjungitur, mcrito gratis,. 
^CKJSndiillaiitilicate adiuodum videri poffic. Sclebat P. iurche^ 



^84 ^»l>. 

nis,oob|leffl qoeacIamGaUum ilmilia conflruxiffe cuin tmxin» 
omniumadmiraclone. Arcanum.paucis4iocumeft. 

Sy NTAG MA 11 

Jj?€Culo caufitco ^araMco^ ejHf^ mira inmn' 
, _ .do ej^cacia. 

T TTi unanimis omniiim Catoptricoram Scfiptoram conlbi' 
tl^ ^M». eft, inceromnia cauftica fpeculaaptrflimum&ifficicii. 
imm Mftifi. fn^xa comburendum eflePar abolicum,icamultorumeft(» 
JXw- rusjdifficinimum efleidconficere. •Multacircumferantorf|)fr 
ito». culaParabolica^fednonnfincnonreifcroper-enim ad^uhcii 

magis,qu^m ad Parabdlica,declindnt. Fieri fibi 
fMTMhUcs ma: Parabolicum fpcculum P. Kirthcrus k pcritiffimo aniee\ 
jhicmUfff' Formamfcu modulum ca^quaficripotulc, diligcDtiScxcbaljke 
.^asm' conftruxcrant,cx patre matreque, cit loqjuuntur, conftanwr, 
nec minorc curS matielBtn inftiderant, fpcculunKiuc pr«paii 
' ycrant:f€dtandemfi^multoslaboresrcpererunt,form^ 
fpinimiiliaettkiiai«l& incurvata,fpeculi(uperfidcnitt 
Ipiiscriciifltl d^0oerSffe. Aggrcffi funt i tcrum ad aliam efficica. 
damformam cx variis mctaUorun?! gencribus,<edfruftrajfe^ 
pcr cnim aliquid iphaericum atffcifta^ffcjpof^ 
unateria ciidfadta Aiiflet , compererttnt. Adeo drfficiletl^pet- 
jfcftampartbolicam fupcrficiem coftituere. Adamantioalorntt 
opus forct , ad dcfidcratoro c^cdtim ptoducendum Eandc» 
difficultatemagocffcunt& aKL AntoniusMaginus^dicicurtiiio 
quodam genere lapidis. Qooniam igi tur tam difficukerpaff 
turfpeculum Parabolicum , quim pra?ftans & efficax cfteitBl 
4:oiTiburendo ufus ; qi^ potcrimtf s diltgentia iiic ei us confidtf 
rarionem docebimus > fimulque de ciusdem proprie- 
itatibus, & cfteAibus nonnullis 
^jgemus. 



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Magia Catoptro- cattfttia. ^tf 

-CAPUT PRIMUM. 

Sljfiei fi Parahla , ^ ^ndt fuam ducat 
originem. 



DAraboIa eft fe&Io coot parallela tmi ehisdeiii lateri, iDcra^ 
^ quam puiidum cft J» qiMomoes lideasaxi^pafalklxtocra eto^^^^^ 
fttpeificleoi iociden tes,refle3UB untuntiir. Parabola ei^i co^ 
iiiieAioiieoricur » uode feAioconica aapellacur^fc fic#x:iiMneiKi 
q^fecaaKplaDoakeri eius laieri parailela £fto i^ FJg. l co« Viclc I^ig^^ 
nii& 4ic, cuius baiis fic circuJui bcqf, ▼otex a» axis per^"-'^^ 
verMcmacbaisctticruiiicraQiiens ad» latusiiiitinl ac. m-^^^*' 
gjrorplanum aliquodlacen ac parallelumi fecaeecooum fe*^ 
cunduinredam £d, laceri ac parallelam; apparebic, (cdio- 
iiefada,inucroquclegmcnto, ebd, aeoc. neura,cuias ex-vijc Fic 
tiMiiaBliaea^Bguramcircumdances erunejfiiiiiiailicieis ^^«B^FtYii^i^rm;. 
ciri apparet in i 5ci.F>gura. Inqua figura PEGPF, 'e ttirTer- Icomfini " 
^xex, £D axii,paraUelu5Jateri ac i:oni. • xix* 

% iu^ f^raergoilla plana; P£Gj>iV «ft ftinbehi lin^im^FMrMhaU 
oiiVft f 1^1 elt Unea parabolica. Reda e d, ^uanimMRi^^^'"^ 
parabola: vocayimus,dici ctiam folct diamctcr primaria para-'^'^*** 
ooIxi& omnes rcdas lineas intra figuram accommodacas^fic 
te&x FG parallelas(cuiusmodifuiicioEig.2/llneaB^ ll>i>KL>di- 
vidit bifariam. Didx lincasbifjriam ab ed divifaj, vocan. 
turordinatim appUcata?,f«U.ordina^tJCsmediecaces verpcu^ 
|j^r,BM.FD,&c.dicuncbr&m^ J 
pl ^i planum Parabohcum f£G 0« circaaxemfuum e i>» 
iQtraargillamaucccramvcrtitur accircumvolvitur,fit intraar- 
iam aut ceram figuracooca¥a,^ij^ cciam paraboladicitur : Sc y^^^ 
a concava eiusdemibrili«tdicuDCurfpecttIa parabolica. ix.iconSti 
rcprajfcncatFigura k. xix. . 

Inaxefiudiamecro ed parabola5,camplanx,quimcon.P4rii*,2li * 
lTX,d^|2|^^m aUquodjV.g.punSutn quod anciqui/«^i»f. 

rcfie^ 

CCC xionis 



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Goo 



Pirtk K Ltbcr Vlt ' 

xioms^fcucetitnmireflexioois, quoniaraomoes radii cademe» 
intra parabolam^ 8cparalleli'a}i:i , reflcifluntuf ad hocpundum. 
Idempundum in /pccuiis parabolicis vocatUr focus y quomto 
tn co fit u(lio> propter radiorum omnium c^ncurfum & uoio- 
Dcm in illo. 

VideFig, Sicx rcBaionts pnn^o diametri prtmari^ ed» y g.ex 
vriiJeoD.pundo cducatur re^la Unea nk pcrpendicularis ipfidia* 
xiz. nctro EDf donecocciirratcurvarlincas ehf jhaifquopuadc, 
TsTMhoU P^^^° dcindcdatiishifcediKibiis, 2if,sKy reperiatwjyr 
ktusrt^ Pr^0fitM.hbi6.EUm€f^(. tcniaproponioQ^hs eb conlhtuendsk 
^mm. pcrpcndicttlaritcr Ipn je d, ex eius vcrticc ii vocabitur ii«c 
Vti]* Fig. rcda £F latusredum parabols dats. Conica harc fecUor 
viiijco-qiiam Parab^lam nominavimus, Gc denominatura grascovo- 
oi£xa. cabttlo 'trm^t^hn quocf figntBcat comparatioDcm^fimibcudiDeni; 

& quafi aequalitatem. Cau(a huius etymol<^ias eft > quddqua* 
jtMTM^M dratum fcmiordinata^ ^ pun^o refkxK>ois if> parabolat IttW 
«f^f/(yM.perpcndicularitercadcntis>v.g.lemiordimta? nk ifipratccdcQ' 
ciFigura,fcmper eil arquate re&angulo iub eiusdcm par^ibolr 
. lMcre«fedo £P,dcfegmentodiamerriintervcrticem8cd}daii> 
fimktfdinjtamincei^cptD^ncmpcf^menco en, iineuUo^ei' 
ccflu^aacdefedu. <^odlnariisfedh>nibusconkismm(it>(ed 
ki una eft cxccilus intcr didum quadratum redangutetni 
Adeoque vocacui tiyperbole > in atccra defi:dus>idcoq4>c £Uip& 

c A pu r II. 

De^ ^arakoU delineatkme m plafM» ad]^{ulim 
rvfiorimn tonfidndim. 

tMiMfe CS^^ ^cailuiri bftoriuflfr coQ^re co^cat^ dc^ec prinifini o* 
ptttL»- VtfinoiDmiD plaDaakqw>,ucti!»iamiDa ligaea,fttrrea, chaljbear 
ttt unMti- ^dieriosveinateris (Iurac,delineare exa^iiEmi parabolam pia^ 
aam»ku.pUoumparabo^cum. Modufo igicur id prj^il^uKli 



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Mag» Catoptro-cauAica. ^87 

ioccaplce trademtis, Pri^is tamenaliquaprmiitttiuit acprat- 
iupponenda fune* 

SuppoHtio I. In parabola,di(laotiacentri rcflexionis^ ver- TnfsrshtM 
tice,e(l quarta pars lateris recSH , atque adco fubdupla iemiordi- ^fi^f^ 
natac , pcr centrum rcflextonis ad ambitum parabolas duda:;^^'^'^' 
quiaordinata per centrum rcflexipnis duda, eft arqualis laecri vmu^.en 
teAo^ Hinc patict , qu6d quand^unque ta para^bola ^^^^"^ftl^^^^y^jy 
femiordinatapercentrum rcilcxionisdu&a,&diftantiaayeri;»> ^'wr* #. 
ce usquead centrum rcflcxionis > oQtum etiam eft iacus recftum. 

Suppofittoll. Omneslinexreda:abunaordinatimappU- 
Mcarum incidencesin Darabolam,&axiparallela;tUnicumiuis 
teflcxis ad pundum rcncxionis,funt inter reaeqMales. Oemoi»* 
/hrat boc Btmnm Ajpikirio 7. Progy moafm.i. Pf opofic.4. Itcm,(t 
inaliquaparabolaexccntro rcllcxiQoisad peripheriam Mfabo>^ 
ia:redalmcatrahatur,&extali pundoperipbcriaralia lineaaxi 
parallela adaliquam icmiordinaum ducatur ^erit utraque tam 
k>nga,quim lincaqux cxccntro inpcripbcriam inillafemiorr 
dinaca fit. Kk^herm lib.3« Lucis^& Umb. par^ i. Pf dtbeoria a» 
P^opofitio» 

Suppofitio 1 1 L In Parabola di red^ Solioppofita, omoea 
radiiSolis incidcnccsCqui ad fcnfum funt axi paralldi >6erreiiexi 
ad puodum in axe diilans 4 vertice parabolar perguartam pav- 
icm lat«Kis f edi , facipntaQpoiocili«d^^ 
flexionis. DcmonftratpottOroQtiunii&alips^ec^^^^ 

Suppofitio I V« ^ OmnesradiiSolisrpeculoparabolfOoSo^/ji^i^llt 
li direde oppofito incidences, ita uc axi rpeculifint paralle|l, ro-S#to f^i^ 
BeAuntur ad pundum unum axis , diftantcm' a vcrticc qu^^rta^^jf^tST' 
partc latcris rcdi. Sequitur ex pra^ccdcnti fuppofiione. Expm^m 
quo fequitur.ope fpeculi parabolici igncm pofle eIici»quiao*^*^ 
tnnes radii Solis ad uoum puodum confluuoc» 

SuppofitioV. In parabola, quadratum cuiuscunquc fe- 
miordtnatas asqualc efl rcdaDgulo cx laterere^o 6c Icgmcnto 
axis k vertice ad pundum per quod tr^dSfi^lw^ tti 

CCCi dffolh^ 



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S$$ Vmis l Libcr V II 

dffffUiitim <raliiCQ»teDrurti Scr^res. H4$ foppofitis i pro. 
poaamus aliquoc modosparabolam defctibeodi ia plano. 

TMfMh0iMm T^rtmvu ^:^h(Codm defcri^^ 

^ldi!plyT (umeincapundum c, ptrocentrouftio- 

jwjK/;. ^dis^^oataramkbet remcmiimab a. Quoautcmrtnfidiitis 

^errtpuodum <: i^puo&o a, e^i^emotiorerftfocusparabo- 
Vide Fig.lit ab ciiis t«r€i€e> hoceft; e6ad maioremdiftantiafflcm^rp^ 
X. lconiE eulum. 

f f« Segmentum ac divide bifariam m i>f eritque i> 

Ttttteic pararbdaciAituras. 

r in. loffa 't>, duc re^as quotcun^^, 6c quantoNicm* 
queinter^dithiQtes^Sc redr ab perpendicatares>cumsmodi 
nc ftint re^ftie £ f, g h, i k> l m, k o, &c. Qu6 autcm hie tt(Xz 
ibermciibi vtciniores^ eo faolmi & accuratiihtdefcribeturpa* 
rabola. 

I V» Sume oir^ino intervaUumex a ad pira^um interf^ 
dion&primatredas £F cumrcda ab» & pone unum circinr 
crositi c> dca;)tero ootahinctndeduo puni^a, £&f. Item 
fttmeiiitenrallumcx: a ad punAum interfedionrsiecunds 
^ ^ccx* c ootahincfndepunAa c&H. Eicklcmque 
iKbd^froccdMtfialiispundis i-dt l & m» «r 8e o,&c 
Ikotaodis» : 

V. ApunAo D, perpunda £>G,r,UN hinc^&pcrpoo^ 
4Lk F>H,KyM>o iHioc,duclineamcuryam,&hibebi5parabo* 
^m io plaapdeicripcam. 

^Mrmi^lim P Romafori iotelligentia^Notdnda funt duo. Primtmejl^n 
dsfcrihMdi ' QiQoi parabola fegmentuniaxis k vcrticcusquead ceotram 
^^ ^ f' rcflexionis^ eflc/ubduplum remiordioatas, h did^o ceotro adam* 
biium ^arabokc dudx> feuquaftam partem totius^ ordio^tim 



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Magia Caroptro-cjiuftica. 389 

pofitx^3T ccntrum reflexicMiis adambitum litrimquddu^a^ 
Jatn ancea etiam diximus. Demooftratiooem yide apud S^ir 
ptores de Coaicis (edionibus. 

K^Uerum e(l » £6 la rgiorem fore parabolam » quo maio^il T^^rMh^u 
diftaotia centri reBcxionis ^ vertice parabola^. Sequitur ex'^^^'^> 
mod^didis: cum eoimfemiordinatapercentrumadambi^um^^^^^ 
duda>debeate0edupladi(lanti<eillius5quQnaaiQr9ntfli(V^ntia,^^^^ k vtr-^ 
eo maior eri t femiordina ta^ac proinde eo amplior parabol^^ 
iMcatis^ficoperare» ^ 

I. InplanoquocunquerautinUminaioqnaeilbrmare viSyjj^ P* 
parabolam , duc re(fUm ab, eamque dividein quotcunque^, j^J^* 
partes «qualesj qu« qu6 maiorcs erunt, eomaior & ampliorjjj^^^y^^ 
fietparabpla» quoaucem minores^edexadiord^Iinealuturta^ 
dcm parabola , mioor tamen evadet. Pra^ftat tamen>pro (p)> 
culorura forma feu modulo faciendo,facere partes malores;; 
nam qtia ratione mhilomiQus exa<3;^ delineari polfit parabola) 
poftea4icam« 

1 Peromni^ div^nonispuni^a duc ^cdas inter fe paral* 
Jelas,8cad rcdam ab pcrpcndiculares.appo(icis,fip]acetinu* 
roeris,proutinFigurafadum vides. Poffunthaslineas parallelas 
cQt occulta?. Omnes ver6 vocantur ordinatx , feu ordinatim 
pofitar. 

III. Pofitounocircinipedeio c pundOjFqui fioiseftiex:'* 
rae partts feu pun6l i r e&a: a b, extende atcerum ki a # Sc utrim^ 
c|uein is itcromqueex i utrimquein p*, eruncquetamfpa-^ 
Eia c r, qu4m 1 aroualfa fpatio c a. 

IV. Spatia ip dividaoturinfexpartes,«qualespartibus 
TC&x CA, adfcripcis>6pldcet,ncmiefisutvides. Deindepo- 
fico unockcinipcae in c, extendealterum in k primum pun* 
^Lum,& ih pr imam prdinatam , notando utrimcpjeduo puti^ 7 
-r* Iterumpofitouoopedein^c, exteBdcaiterom io l fecun- 
clumpundum,& in lecuodamoiNdioatam, nocattd4»imimc}UC 
cHaopimAa v i^. Stmitrrationeexteofocirtioo ifl* mv oota-* 
^siicfimquedubpooda X9t iotercfffordioata: dciodeex^ ^ 

QCC i ootabift 



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. PartitL Lib. VIK 

potabisduopuoda yy> Scex o duopunda zz. Panda^p 
jamfuotaotata. Poftquaspofitounodrcinipedem c» utan- 
teafemper,extendealtcrumin (^i ficnoca tnrra in feptimaor* 
dinata utrtmque duo pumfla 4 4 : deinde ex pundo a nou 
utrtmque duopun&a ^ ^ in 8.;ordinata : &|fic uitenus proc^ 
dfcndoquousque volueris. 
' y. Pcrpuodum a, &per(jngulapundautrimqueiDor- 

dtnatis notata>duc iineafncurvam a t vxz &c. & iiabebis pa- 
rabolamdefcripcamiinquareda Afi^eftaxis, a vertex^ c fb- 
cusfcu ceutrum reflexiodis. 

ANNOTATIOL 

CitPdrftsaxu k^magMfintc^intfrfiSflgnteStVtexa&iorfAfit' 
^jcriftio farahoU yfoterunt finguU diviii in alids fartes y&ferp»- 
gtadivifionumduciAlidfarAUeU. Sedtum etiamfdrtesinter iScsJe^ 
henteodemm^dodiwdi, ex fun&isdivtfionumnotari in ordinttk 
cofre^ondentihw vtrim^punilayfroutantea faHum fuit : fic entmhi^ 
hehufiturfUrafuniiai (fjihivicinioray ferqndUneacurvafarabobcik 
ducatnr. 

ANNOT ATIO 11. 

Paraboli- Tu X hoc ficundo modo fatet , quomodo efiicienda fit farahoU adconfiu 
cam fpecu. *-^4ftendum jfecuUm^uod ad Jatam feu determinatam Mfiantum v- 
ad da.^^ rii/. Ciim enim funffum vjtionif fit in c, / voUmtu vt /fecuUmvrU 
tam di* addijUntiam decem vg.falmorumyducenda^filinea a cdecemfabuu 
ftaiiciam ^^^^ ^ (^dividenda frimo in fartesa^uaUsfixy & finguUdeindefA 
^UwdemdsfantimaUasmfnoreSfdrcaterafrdftandavtdiilum^ 

ANNOTATI6 IH^ 

ParaWi«t w Yfjfeculmnfarjiholicumvratin c^addiJUntiam v.g.decemftlr 
5^4 maius ^morumynon.€jlneceJfivsfieculumfia$tanucafacitatkp quautm 
figmiMtu iftfi^gmemtum C P a P farahoU yfid fu^itminusy quantum Jcilicetd 
mSf^ v.g.fegm^tnm taTi tM vav. rerumtamenefiy^uomaiarnfi^ 
gmesotierit^euUm^tocitiMSticfotantim 



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MagJaCatoptro^cauftica, \ 5^ 

Mtemufihm, tjHAndotAm mngnAcenfirMnda eft fArskfttcafiatc yUc»^ 
(irciniidhikendaefihngAferticadmkmtcuUisinfiruiia^vnoimm»^ 
hiUfiaendein CrdberomolfiUr vt fer Ungitudinem ferticd difiurrere 
po/nt Formam vide apud Adrianum Mctium in Geomttru fra£i, 
trici.devfucircini&ReguUProfortiondis. Potelietiamfrocedif^ 
»Hmerosin<iuAntumvismagn4fAraboUdefcrihendatVtifMtUf»fidi' 

cemits, 

ANNOTATIO IV. 

UTaecuratius & vniformius formare foffis Uneam eurvam foirah' PaMb<Ji«f 
Ucam,figeinfun{Iis^i^TC^%^y^c acm^ahacu fferK '^^^^^^^* 
fittalterum p extende chordamaneam cithard , ita vtomnes acm ra- Jactniz 
^t^&iuxtackordamfyUaliquonotaUneameufvam. m^tS \^ 

ANNOTATIO V, r^X,,.;.^^ 

DEfcriftaex fracedentihm fraxihm in£neaaMtchi/bealami»aJ^ Yiis Kgi^ ^ 
BumefAraUlica,exfiindeonntiacircumcircayVtremaneatf«Umo^y^xjjl(.^ ' 
farahoUcum fknum c a £M ex<iMo faraboUfUfiem efiicies, ad modu- nif.xiju 
tttmfro pcuUconficiendum , ha( artc. Afiige difftflano-faraboiie» ■ . . . 

CAi ferrumKuacutumin skyj^tnfimBuminanuhrioxHty iu , • . . > - 

a/taxifarahoUexaSiicon^uat.AcumendeindeKmuroinfigatm^iX^ 
mMuhrhtm i M p hyfomochliofeu fnkro aUeu^imfonatur, &infra isi- 
termurum&hjfomochbumargiUa,gyffM,aUavemateriaSfioatur^ 
parahffUft^es manuhriopto cireumagatur vniformiter intr/ttbSam 
mattriamjenec in ea exfrimaturforma farabobcs,& hahehisform^m 
feumodutumfrofiecukfarabobc(K • ; 

C A PUT 111. 

T)t aJ^ modol^arahotkafeginenta formandffra 
^ectdts caufiicis ad ma^am difian- ^_ ' 



tiam. - 

QtJsc cireim& regulatope defcribantiir parabolieaB fc^iones^ 'jSiS 
aon nifi ad ea ferviuat fpecula conficienda , quae in breYi di- frtiut 

ftaotia. 



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^2 PafTtit l Liber VII. 

dftsff»fi$- ftantiaarunt, pedamadrufnroum decem, quooiare difficolter 
^^^j*!**maiorci ctrcw conftruuotar & tradantur. Pro fpcculis Igitur 
^fi!u^i0m qua:admaioremdiftantiamigneaiacccndaot , pedumv g.iOi 
wtntikm. 3o^4o,autquantufflvis aliammaxrmam^perQumerosprocedeo* 
dum eft. Modum pra^ribrt Poru lih. 17. Magise Natural. cafi 
%6. P.Kirchrru$ Li b. 1 o. Lucis 6c Umb. par.5. cap.7. i Problcnu- 
V te 5* Ego iahuoc modum rem explico > Portx paradigQaate u- 
tendo. . 

Sit igitur detineandum in plano fegiliehtum parabolicDiB, 
Vide Fig,c»cqiiofi nEuxiuluiiformetur9&(pecuhim.<^nftruatur>rpecBlQm 
I. Ico- ^ urat>ad diftaitiiam maiorem quam peckim Sic proccde. 
mLxx. \. In pkmo aliquo feparato duc lineam a\ 18 pedum^ 
/I hJPkL^ axefuturacparabi^cxquafegnMntttmexfck^detK^ 
^"•^/•'•'^^^^^y^ t iusrertexfit A, focusver6(eulocuscombuftionisB.Quoi 
if mm inm^^^^^ igitur (egmentum axis inter vercicem & centrum parab<^ 
^-^^^^/^H^ (imu^ iuDqoadraplikfi latetis redi^ut diximus in Cap.praecedeotiS» 
^TV ry^^i^V^ pofit.!.rritlatosreAum ag futura? paraboU pedum 72. » 
li fdodedciodeexrcda a9, redam ac z.pcduro,&ex x «4l 

rmmuP ^y^^^ ad aoguios re&oiliocam c tftdcfioiam^ io eaque deteroui 
.^^^^^/^^^ femto^ioatamadpao&ttm c mfuturaparabolaapplijCaodaflii 
quam ficiovcfiiesX^aadntom(<miord 
caoqttC pundom axis ,eftau)ttalc rcdaogulo ex latere rcdo& /e- 
gmentoaxfstotcr verticcm & puodum datum » ut dixiinof Dp^ 
praf ccd. Soppofit. V. Multipiicaergo % per hoc eft, dtos 
Auffi AG parabola^itttufas^ptfi^^^^ ^^* &prodaco 

144) cxquibusfi cxtrahas raaiccaaquadrai»m,habe|Msiipn 
femiorciioata cd adpuodum c apphcanda. Eritergofemi 
ordinata c b ii pedum. Ducatur janii reda d b ad focum pa 
rabcdar« Qootiiamigiturqttadratorareidbe db a^quaiccili]^ 
At-j. ProffifitM.uBkment. Euclid. quadratls *b c, c dj iTqfladfl 
tumredas b c 15^» & qiradratum redar cd 144, addasiDterfe 
&expredudo4oo extrahas radicem quadratamunvcniesit 
<^amj>B^cjbopcdoim. Puodumcrgo d, parabQht flmua 

coa 



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M^gjia CaCopCfOrCaunica. ipf 

caAbBret^addtftantiam lo pcdum, & pun^a feqisentta verfijs 
£, jdi mafarem diftantiam. Si Jam peracerecur parabola , & ex 
ea exfoinderetur fegmentum d combtireret pundum £ ad 
■Hiorem diftantiam quAm la pedum. £t quant6 feementum 
p9fa!K>Ixmaius errt , tanto remotins quoque uret. Sicautem 
^dBabisfcgmentunv d £,absqueeo quodparabolamperficias* 
|L Poiiepedemeirediviriim in 30 partes^equales» utexa- 
daiifcrraetur fcgm^ntum paraboUcuoi DE. EritereoAC 69 j^^^^j^i^^Si^^t^ 
fmSBKu AG ziCq! CD ^60. £x c verfus a abfcindeduas tertias ^ 
tt^fedis^ hoc lo particula^^ufquead f, uttou af fit 80 ^ 
parti»9um» fi^xfinguiispuQ^rs diTinonumiHter c & f fin- A 
—^^^^tQc teaas perdcndicularcs ad ab, ex quibus abfcin- 
^^frmiordinatac ad dida punda applicanda;, nempc ad 
i9o,6h6i,6i>SfCcxtcrZx ufqueadSo. MuItipUcalatus . 

per fingula di da pun Aa y & ex produ(^is extrahe ra[- 
^ratam >& babebis femiordmatas qujcfitas. Hocarti- ^Si^^^y^H 
ortaconcinnavi fccjuentcmtabellamsinquacolumna . #f^A 
icinct Icgmcntaaxis ab> k c verfiis fv fccundacolum- *5 
^ ^frrV>Anngiila ex latcrc rci^o & di^is fcgmcn tis ; tcrtia 
evlMilif^ radices prasdi^orum rc ^aneulorum Jboc cft» 
fa^mSm^s ad punda divifionum inter c cc f applicandasj 
^tttH^^krcntias radicum. Ut ver6 radices , quadratis proxi- 
Jiip^Mm numeri redangulorum non Aint prascis^ qua^ 
.t;j-^^ ^ invenirem praccifius ,addidl fingulis rcdlang». 
Hsquatuor cyphras fic,oooo. Sequi- 

turTabella* • 




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byGoogle 



594 Partf» Libcr VlX, 

TARABaLA rDESCRIBBNDA. 



Segmenca 
axic. ^ 



64 



^5 

^7 
6B 

7» 
75 



7? 
7^ 
77 
78 
79 
80 



Re^aneula 
ex mulcipli- 

' cacionelace* 
risrediinfe- 
gmencaaxis. 



I Ka<lices qua^ 

[. dracx. 

Figura penul^ 
cima figniH- 
cac decimas 
parces unius^ 
pedis. Ulct- 
ma decima- 
rli decimas* 



Difierenciz 
&.ad(cum. 



131760 
138140 



140400 

i447ao. 
144880 
14^46 



j6o.o.o-. 

561.9.8. 

31^8.8.9. 
371. 8.1. 



IJllOO 

IJ7680 

»59840 

161600 

»64160 

1166310 

1^848^ 

170640 

171800 



374.7.6. 

?77yii 

^80.4.2% 

583.1.4:. 

586; o.y. 



388.8.4. 
591. 6.1; 
394.3.6. 
3P7.0.8. 
399- 7« 9' 



401.4.8. 
405. 1; 6. 
407.8.2. 
410.4.^. 
413.0.8.- 
4'T-^'9' 



o> o. o , 
2. 9. 8 

y- 5>-3 
8.. 8. 9 

H. 8.1 



iJ7-< 
i7.y.r 

ao.4.1 

13.1.4 

26.0. f- 



18.8:4 
31. 6. J 

3f.|'<f 
38.0.8 

4079_ 



41.48 

4f.i.6 
47.&1 
jo.4.6 



ILk IB 



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Googte 



Magia Gatoptro- Caufiica* ^pf 

rqaalemduabuscerciisuQiuspedis, eainquedivideiniopartesii.i^i^ 
«quales » & expundisdivifionum educ redasperpeodjcularesnihxx. 
liift CF. 1 n has deinde lineas pcrpendiculares cransfer difkrcn^^^^ 
^^JasRadicu^ excolumnaquarca pracdiclae tabell«,incipiendo^JJ^^J 
"^ldb^fis pundis di vifionum linea: cfi nempe in lineam ex pun- ^ 
496i*edudam cransfer particulas i. 9.8. in lineam expuiiao 6t 
edadamparciculks y.9 3)6c ficdeincepsurqueadfinem.Perpun. 
dsrtermioafivaduccurvam ce; &nabebisparabola:regmen<- 
txm CE9. defcripcum^ Exa^iffim^aucem&uniformicerdu- 
cetxirlftncacurva C£, fi prardida linea c f cumfuisperpendi- 
cii^aritAifdhicancur prius inaliqua cabellapolica , & in pundis 
jtef«Bla<30visiigaQtur acusj&abacu c adacum £ cendacur 
cdkm^ctthararqua^omnesacustangat, &iuxuchordamduda- 
«EdcliMacQrva,exrciQdaturqueextabulafegmentum cfe, 6c 
Incii^iDlamella defigQeturaliud fimile& a:quale. 
" IK Hisperadis,accipevirgamferream AF loogitudinisVidc Rg, 
jj^sedua^quaQtavideiicete&femiordinata cd In(uperiorifi.iii.Ico- 
^tai&extremitatieius f afiigelamellamcFE hadenuselabo-^*xx. 
t»am »iti4cera ver6 extreraitate infige clavum , ut in plano ali- Fsrdh^M 
qtN>^gf>&apticircumducl Doflit virp unA cum lamella. Firma-|||^^^^ 
CsUic virga, circumponatur lutum paieatum ,aut g^pfus , & cir-S! 
iCnnidocatQr intraip(um,ut optata: parabolic^ fe^ionis formam 
1 OK^tvcc Qu4exficcataforma , alia fiat eiufdemmagnitudinis»"-.^. 
Mib&dk>r,utliqukiummetallum infufumfuftinerepofiit^Tan» 
Att aptetktur duac forinas uc fieri folet , & miftura fpecularis iQ« 
.pidaiiUjpoUacurque pro more5& habebis fpeculum quasficura* 

ANNOTATIO. 

^l^gMHrsMgms traditmnc^nfirui ptefifi^mMumcjUAntnmcunjf, 
H^sa ^nmncun^ difixntUm comburens > Mmmodo determinetur m 
fCt^i/etiiex^r^mt&vndfimunrdinAtMtCumUtn^ PlurAcirca^ 
t^^Mb^Ur t m o d e fi riftiones^4m^eometricas,ijuMm orgdnicasf videdfud 

DDD X CA. 



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^96 Parti» L Libcr VIL 

CAPVT QUARTVM 

Dafa bafi^ etiam minima ,pro J^eculo ^fiorio futuro^ 

ce Qfeculi^ parahaiam defcribert ad j^eculHm 
conficiendum. 

!II!r/m^^^^^ cft hoc , qooniamduoquafl extrema cooneflit, 

JiulmL nempe parabolam minimam^feu minimum (peculum para- 
dus. boIicum>&unionemradiorumacu(lionemdi{lantUIImam.Pa- 

radoxum^roponitSc explicat jrm/;9«^ Apiario 7. Progymnaf} 

Propofit.4.& exipfoP.Aiiranafiu^ Kirchermhb Ao.Lucis & Umb. 
V^l'*^ Parte5.cap.7.ProbIem.d. Bafimparabolar^feufpeculiparabo- 

licf>Yocoamplitudmemapercurxparabolx,autfpeculiparabo- 
Vide Fig.lict^quammetitarlineaTeftaabunacxtremitatead alteramper 
IV. Icoiiif.4iximextcnta ,cuiosmodi in appofita fi^uracftJinea a b, dudi 

peraxem »e> iapun<ao quodpundum c ^viditbalim 

bifartanru 

rsrMhoU 5uppono hic I. tjuodfupraetiam fuppofoi,Iatusreftum j». 
fr^tM ^^JjqJ^ quadruplumiegmcnti axis \ vertice ufque ad focura; 
utfi in appodtatl^iravertexparabolaer fit c> iocus lacffi 
re&umrrrtquadrtiplotnaiusquam -c^ 

Soppono 1 1. Semtapplicatamquamcnioque>ir.g. Ac,t& 
mediampToportionaleminteriatusre^liim, &fegmentumaxit 
Inter verttcem pon^um axis cui lemiordinata eft applicatai 
qoalehkeftfegmentum ^c. Rattoeft>t)utat}uadratiim1aDi* 
ordinata:eft a^quale re<5tai)guIo tx latere i^^o&didoiegnKO- 
• to. Exhocfequitur,diftumfegnwntum^flctcrdaimprppofti> 
nalcm poft latus redom & femiordt natam. 
Vi^ eao- Hispofitis, fit data bafis fpecuti futorrrei^a k b> dilboti 
JeniFtgt*^yer6comboft}onisfitreda ce aliqootv.g palmororo. DiW 
famiv. 1-bifartam AB 10 c, & datls doabos CE> ca* qoarretertiampro 
^^^^* fortionalem^quasfitv.g. cd. Erit ergo s ytnexpardbob^ 



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, Magia Catoptro-Cauflica* . jj!7 

tarx. Si isitorad rcdain cd appIicaverispluresordiQatas>& 
operatus raeris iuxta di&a cap. z. habebis parabolam datac bafis^ 
combureDtem ad datam diftantiam» £ccequ^mfacil^>qaoci 
paradoxum videbatur. 

Quod fi bafis parabc^uftoria: propoGta fit valde parva , & 
^tft^a uftionis vaidemagna « per nureeros progrcdiendum eft. 
^i^d^aotia partium yo,quarum bafiseff^. Quadruplicetur di- 
ibuKia»uthabeaturlatusre<^um 200 partium: bafisverodimi- 
<&cttir yUt habeatur femibafis fi^u femiordinata maxima parabo^ 
Ixi iita^&irarum.*qu«raturperRegu1aniaureamtertiusnume* 
Tti5pipp«tionaijs,utfiificut20oadx>ita 2 adalium numcrum> 
ad^n|»W«t>'> critqoe profunditasparabokc J*^ partium. 

C A P U T V. 

iX^ACtpuo SpecutorumParaholicorum effeiiu^qui 
^ ^Jliai iT'^^ fe^^i fojjtt ad difianttam 
infimtam^ 

T>ft!aedfpiiaSpecuIorum ParaboTicorum proprietaseft,radiosp4f^^^ 
^ St^/mddtntts rcfledlcre ad unumpunduminax^iftansa^^^#^ 
Tefefc«t)iiarta paTteIaecri$rceli,utdiximuscap.t* ubi ctiam ^^'fuJlft^ 
•£lorescitavimu5 apud quos Icgi poteft huius rci dcmonftratio.y^ip. 
Ei^aciequitur pra&cfpuus^orttndemfpeculorum eftc^lus^ qui 
cflt i?fBibaftio> qua? fit tn eodcmpundo> propter unionem ra* 
^tqfitm incidentmm ac rcflexorum on^inium tn uno punAo; 
idaifiic cclerior & y chcmcntioreft in bisiqu4m in fpbacricis fpe- 
€iilOnqu|busoon adunumpuniSum omnesuniuntur radiijfcd 
a£i 4|^eria cttra quortam d^ametri partem>ut dixtmus ^y^^^S^ ^ty^^jfM, 
'pratbedcoceCap.i. NecurantuntumParaboHcafpccula ma cscm^ 
teckMn^pmbuftibiicm^fcd H^cfaciunt ctiammctaUa>utmuItis^^f 
cTCpmi^a^^ confta t in plumbo & ftannOj&. aliqui ctiam aftcr un t^^^^^ 
4«aiira ll^^gen ta 

VMj^tcfficacia comburcndi ad magnam diftaotiatn noti 

JD DD 3 ]pcndefc 



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p8 Partis I. Lib. Vlt 

Mmbu' peDdet k magni cudi ne rpeculi>{ed k diftancia foci feu centri refle^ 
^ xionis k vercice , auc a (uperficie reflcdente , radios , uti cx didis 
^!mthm cocohocSvncagm z.conftac fnfrimentionemfaciemusaliquo- 
inipifuU rum fpeculorum quacadfacismagnam diflanciamuftionemeffe* 
J^^''^*^^''' ccrunc. Placct nunc examinare quasftionem, an dari poflru& 
j^jSi! conftrui humana indudria (peculum Parabolicum,quod ad in- 
finicam diftanciam pofii turere. Aliqui enim eo deveneruotau- 
FsrMhoiui dacia!,ucida(Iererefoerkicaufi,&rcripciscradere« Interquosefl 
^i!^fin!tM ^^^^^^ Bapfijla P^r/ii lib.i7.MagiaE:Nacur<:ap.i7 cuius proinde 
di^ntism rerba afFerre non piget, ucmaiorifide ineiusopiniooeexaml- 
vfhsMu nand^ procedatun 

jp tt Mft. g cpQyf^ (jpimo de Jbeculo Parahalico ad iTifim- 

p#rM •fi- pOrta loco proxime cit.cum reculifiec hiftoriam de Archimede 
* Proclo , hoftium na ves ad longam diftanciam ope fpccoli 
comburencibus , h»cfubjungit rerba- Std hngc cateris frdfis»- 
infinitum ti$rem mtfdum trademtis,aft€mtfi€ equidem^ quod fciAm, traditumyin- 
diftnntism f^q^Qff^f^ omnium & recentiorum inventionemfuferamem : nec futt 
humanua^ngenium maiora excogitare foj/e. Hoc Jpecteium non ii 
Jecemi^t^nti^centum, aut mtHe fajfns comhurityvei ad determinatam 
di^antiamjedin injimttmt \ net in cono accendit , vbi radtj coeunt tfii 
ajfeculiceniro vjloria limea froceditjcuitavis longitudin^ ^^udolwi 
omniaxombtsrie. Tratereaaxcenditretro,ant\,&€xomnifttrte. Sei 
frofedo indignum facinm duco ignara plebifrofalare. Prodeat etff 
in lucem^vtfumma DeiimmenfationitMs Uudetur^eneranda fiat. Ut- 
jori ex feSiioneyquia raditts frofortionaiis frogreditur^ ex minorimm 
fit \ Ijdc evitando fiat cylindractd /eiiionis^am eft media : farvdi & 
maiorU JUfciffioniicortfiituatuf axis^eiudtrdnfeat fermediosparaBek. 
Hdc Soli offofita hn^ refrahgit immifios radios , dr ferfenaicularitcf 
icentro femonit cyinJ^aced \ necinveniri in hac arte foteft ratid, ut cic- 
nntes radif iterum dijuniantur. Recipit ergo dire£ie illosyquos ferrilH- 
.^uum tranjmittit in radios ionge a fita fuferficie : nam radijtranjeuntn 
^erarliumforamenfetteftrd, iuicojdiidtdtitur, necj^raiongaeionemdO' 



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Magia Catoptro-Caufticaw jjrp? 

jw* fefvdtur fropartio. Revtrheret igitur,dr camhuret vbiconu6 vi^ 
detur ItKidsor \ ^juod profe (entrum erit > nec muUum elongatur a puniU 
spruntiumradiorumyjedexeuntemradium ab illo punBoexJpeculi fu^ 
terficieparabolica dtSiay qudeoloco^ijuem diximusyfirma maneat. £.v- 
teriatur eius virtm fiUsecentroexeuntibus^chordis ferreiSiVel fetaceis.^ 
IlecrefertparahoUJit autjphdricayvelaUaeifssdemordintsfeiiio. De- 
indeaccommodeturoptimeJiipercentrumdiUdJe^honis^fiprogrediufh- 
mrextraradijjupra^velpautoinfra. Nilrefertjipaucinummi^utijuam^ 
plssrimi expendantur in htdm fabrica^ VfMss artificis manu pendet 
fahrica^quaf^itas nilparvayaut magna. Foraminislatitudo nilnecef 
pLriafoBmmediopropulfumfU^utcoemtesincef^rooptim\coe^^ le^ 
nefira perforetur obU^uey vtrecipiat JfiecuUsm parahoUcum^& hocmo^ 
d^babebis ^eculum.fiquod dixi,optime fiat^ ^ui^ures habet audien^ 
dij audioit. Barbare nott>hcutiJi$muSynec brevius^ auPclariiss potuinitis^ 
%^t fi farva maMd in praportionenon rejpoitdetyjcito te nil operari. 
x^agnafit circa bafim.parva circa verticem.primdaquidijlans. Spe^ 
cislMmnonJitchalybeum,quiaincendilJiagrantiam Jtftinerenonpotefi^ 
= incendio fuloorem amittit. Sit ergo ex vitroJoUditatis digitalie^ 
* Stanea braiUaptexantimonio repurgato^ drplumbo.^uaUs in Germa-^ 
t$id fieri folet. Sitforma ex argiUa disperponatur vitrumyac vitrario- 
rtfffi fornaci Utjuefiat^vtformam induat^ Hocenim mirum^ quod ipfi 
' ^ua fantumin opera incendium caufaturfripdM eji^ velminus quiim te^ 
fida. Si cordtfuerit.vt accenfio anterius pat> exfi^ione quadrca 
fins eH, confciaJur torquesy in cuius medijpunQb accommodetur artifici* 
usn/vtreg^ejfus radisss in^nteritss ^rodeat^ Boc diximus^ <^ animad^ 
vtrtimsssyVt hoc artsficioinmamssac mirabiUbsssrchissuti pojlmtssy^ 
fp^dfipue Utteras difio Luna injcribendo. ^^sucunqueenim hoc j^eculot 
f^araverimuSiVt diximsu iepUnoMterimtss kngfjfimeUtteraa mitte* 
rr; ^quia ininfiniium dixsmsss.facite.vfqueadLunammittituryjfss. 
cipssicumfi^olumineadjuvetur.Hsec^ottA. 

Qui potcft caperccapi at. Quomodo alii intcrpreie»tttri> 
i^iojnodanos^xiiccmus io fcquentibus^. 



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40(P Parthl Lik VIL 

I L Q:^arij Bettm judidum de j^eculo 

rabolico Torta ad infinitam diftantiam 
cBmburenu^ 

^i^Te^ TyE///>iw Aprario7.Progym.3.Propoi7.agcosdchocPortttti.i 
^t^i^tr^ vcnto urcdi ad infinita diftantiam opc Parabolici fpeculiifaii^ 
sAvrente ut ipfc loquiturjdc Port^ catoptrica linca,aut virga cylioikici» 
^ifr^ ftoria infinita} ut Port« applaudat cxultati,his utitur vcrbisf«r 
* •^*^* ^ cxtremum miracHlorum vftoriorum , qM£ fieri^ ^ ^^^^jp' 
fejfentk fcientiu mathematiciSi cfMia hic habet ihteUeiiui pjff^^ 
f»0nftrati$nem geometricam^ infigura farabolica circa infinl 



am ]fhe cyUndrum gracilefn vfioriuma loanne Baftifia Porta Ijam 
tum &c. Ponx dcindc{entcntiam,non vcrbis ( qua: re?d||»' 
fcuri(fimarunt)cxpo(iturus,fcd pidura, hocproponitdia^ 
Vide Fig. ma :in cuius i.Fig. A eft tubus parabohcus maior>inTerci(XM 
v.koiiiC catus>coNigcns radiosSofis parallelos incidentcs poft feiflflfc 
nir.xx. ^ofcuccntfouftorio d> b vcr^efttubulusparabolicUMNil 
itidcm truncatusin verticc,itaobvcr(us&applicatusii^iia^ 
radios poftpundum d iccrum dilccdentcs&diiEpatoseii^ 
& traasmiUos cylindri inftar lueidt » fcu virgae uftoriar^w^ 
gct. In 1. ver6figura non jam tubus, fiVcfpeculum parafarifen 
thincatum,fcd integrum eft c> quod radios foiam||i|^} 
nonpoftfe&aSoIciUtiapriorefiguraipfum a» leds^mjtt 
adipfum/cuconcraipfumSoiem:in d eft tubulus,qua£ifi^ 
in altcra figuraipfe e : pund:a uftoria maioris ac minitfilVll'' 
rum parabolicorumintcrfc congruttnt»& collc<5los4 So* 
lelos radios,&: pcr matorem parobolam reftexos , ac pari 
ledos adptin^umuftorium,cxcipit minortruncata {» 
projicitqueparallclos. Quira4iiparalleli quoniamtn 
Figura ab anguftiis minufcula: paraboke profiu u n t, idco 
£c continentes in gracili cylindro totam quaotitatemific 
ampliffima^lucisacceptaeimaiori parabola, proferunturflnfeK 
ntt^, ut Bettinus cxiftimat. Hoc modo Bettious interprctad 
anentem Porta^t Quid nos exiftimemus,poftea dicemus. ^ 

5* 




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- ji^nij|.ri3gy 




MagiaCatoptro-Cauflica« 40« 

}. f I L T.oAthanapj IGrcheri deeodem VortA J^e^ 
culo faraboUco judicititn. 

Pxjtthimtfim KirchtYmX^AoXMCM &tImb.Par.3, DiftinA.j. ^^^^^^ 
•cap.i. 4. j. ubi prardidaiii Port« inventioaem examinat , his jj^^ 
foliirorditan \MiAti io % fiv€Mr$gMtu,fivt i^norimtia dtverte- pt^^Uu 
^^vtfufMrint JfeculHm dari po/lipijnodadinfinitdm^Hafidifignti' ^ 
^ ^ InteraUosvtro htc machinamtntum^romittit Porta. ^t-^^^^^^ 
ndc^PortseverbiSsdcprofequitorcei^uramruam. Art^ 
liittis yftilm iahttiftreja£tat forta^ Jt quodntc iffi ma^ 
qusm uut ftctrit » mtms minut txptrtusfiti filim^profria 
wisfibhriumfitdndep^^ in ea conjtruenda 

t/ideatur,qui dum Mundo falfirio invento ad aliquam no-' 
wUktekiritatem ^oncitiandam imfonere conantur , frimo ohfiurst 
it^mmminvaiucrUfterminis^ tx Hehraorum^Arabum^Syrorum, 
WnufgHtitofm fiffiidtndum rtddum. Dtindt tx Irtdia aliisd rtmo^ 
akkWitle^ admifitrifracifiuntjVtfuco hac 

u^mmurtificitxftritndijptm trifiantt nuHoal^pfrattrva-' 
mimttffimarum rtrum notitia^quamdtfihabtriambiunt^ . 
mitocuriofirum^rtrum^imftriMTmoMimisrtiiffo. Ita 
fdyimiiudCat^ricaccmbufiiottismachirtamtntumei 
dtpribitivtanigmavtriusjquam m ^y/MdiciPoJfitJn mul^ 
clar^tumfibicontradicert^vtltx frofriistimdem vtrbis col^ * 
:Iai9 tnin^Ufttifnon in conivtrtictcotuntibTssfidfaraHtlifina 
comburtrt ymodo cont^arium afftrit: nuncfiftiontm cytiri^ 
^dofarabolicamyjam jphuricam djfumit : fibindtrtitos^an* 
jmsfracifitradios. Pottrat qmdtm huiufinodi commtntis 
imferkis Torta dliquid ftrfiadert ; at ijs^ qui naturam ji^- 
iju^umimisytum JfecuUrum^exquorumfuferficiere^eBitury in^ 
mmu^vtferfisadeatMc RhodusMc fahus. Tacitiusenimatbum 
ftigmmfkdacebitiqmm vthuiusfai machinamemiveritatemfawi^ 
jmsfe^fSmfiim^ms t^ndeegoUludnontantumrtonfrobabiteifidd^ 

rnfiifditimmt^^aturaffincifiis 




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402 Partisl. Liber VIL 

hoc rAfiocinio ienionfiyo. Pergi t dcindc probarc , uftionem nott 
rj»»wrf»'PofPcfienaddiftantiaminfinitam,ncq>perhocfpccub { 
f$ut0m ^'•Portadekribit,ncqucperaliud,inhuncmodum. Si fpeculum 
"I^^J^ combuftjoncin diftan<»mlnfinitam,autin maximamaufledan i 
jfcr#>rj?#rpotcft,agcrct, vcl idfaccrct percylindruniuftorium,veipcrco. 
$iU$m. uum uftorium. Non prius,q.uia In cyJindro radii parallcjli , ut- 
potc disgrcgati, nuUam urpndi vim obtincnt^uftioqucnonimll 
radiis in uho pundo aut loco unitis ficri potcft^ Non p^flb* 
rius » quia nuilus conus uftorius infinitus dari poteft, c^ o- 
mnis conus occedario proprio v^crticc > fic^onfcqucnccr |p|i- 
tip aliquo dcterminetur. Practenca ciim lux uniformitcr d^rar- 
miter , tam illuminan^, qu^m urcndo agat , ccrtum Cu^CP^ 
dios Solis in fpeculum atlapfos,& indc rcflexos, c6 plus dc ^ 
fuo perderc , quojongius progrcdiuntur , fivc pcr modum 
dri,fivc pcr modum coni. Ha:c & alia multa ibidem afFcrtl 
cherus contra Portam,&contraBcttjni cxplicationem>.tajdK^ 
ciusnomine* 

^.W^-Nofira Sen^ntiacircaTorU JjieculumP^jr 
htm^t^ holicum admfimtnmdij^nmm aymhurens. 

^mtfi^m- T TTmeamtandcmcxpliccmfcntcntiam,dicoLPofEbilecifc 
fi^uftns. ^tubumparabolicum,feu/pcculumparabolicumtr«Scatum, 
Tsrtt^iif^ inmodum zona: f6rmatum,urere poft fc* £fto cnina patabo- 
^cuium iicum fpcculum ABc, cuius vcrtex a, axis a d, rocus Ini 
^^/#^fr5?centrum rcflcxioni& Omnes radii axi paralleli incidpAf^ 
Vide Figjefleftenturadpunaum e. Siergo truncetur fpcculum, 
vi-Ico- fcindaturpars fag, mancatqnc folus tubui fcu zoua :b 
niicxx. critpundum E, fculocusuftionis,cxtra&pQft|tubum,Qi 
p^fiiWiVi^quc radii incidcntes intra tubum rcflcdentur adhuc ad pjoA- 

feeulum dum E. ErgO,&C. 

^^^^^lTfe i^^^o I I PoiRbilccffc, radiosJn foco tubi truncati poftori- 
plf^L/rT ^ ficium minus colledos , &c in alium tubum ic^dj^ntcs , rcflc<^ in 
rsdhsfs* parallclifmum^&prQccdereextra^orificiuninfiius pcrmodQm] 

cylindru. 




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M^igia. Catoptro-Cauftica* 4qj 

ijylindri/ EAo tubus truocatus ABCf>i coiu^focus e. Si igi;vi<Jc Fig, 
car radii ex alio tubo truncato ^ egredieotes coIligaQtut in pun* vn. Icon« 

E, ibidemque divaricatim interfecantcs iefe progreoian-^ x x. 
turulteriusj&ibidemappliceturtubus abcd» itautfocusetuis 
refpondeat pundQ x}uod eft etiam focus alteriusi incidenjt 
iidem radii in tubum c i>> intraquq ipfiim refle(^pntur a^ 
eosdemaogulosextra.niaiusorificium cp> adquosfuiilcntre- ^ 
fiexiextraminusorificium ab, fipermaius cjo iQcidiiIent;,ac 
proindeegredienturex cp parallelj axi* . 

Dico 1 1 1. Si duo tubi parabolici ita oppoiiantur Soll , ut prat- Parsheiick 
fctibit fiettinus, 8c apparet in pra:cede^ti Fieura> ut nmirumjH^hm #11 
utriusqi focus fit ineodem pundo £ 5 ^adii Swis ii^minori coUi- ffJf^,, 
g&atM in cy lindrum lucidum , aptum ad combureodumjifaltem^^"^^ 
adaliquani diflantlam , licet non tam efEcaciter ficutin foco £. cyiindri. ^ 
Kmo eftsquia onuies radij qui ab * £ difljpati incidunt intra 
bum minorem^Q eo coUiguntur in cylindrumj& ita cplleiflti pro- 
grediantur»^neclangue(cantpaulatim»atque diBciant.^ 

Dicol V^ProbabUc cft,Portam verbtsfiiis obicur|s non vq- Varta di* 
4a\fle irapoccre Mundo/ed velareatrtificium n^ ab oitmibus ii^.^^''^'^^''' 
•t^UeeteturiUtpote novum»ingenipfumt5c mirabile. Fuitenim 
rir dodu>&;.muItum doitflriai &c experimentis fuis illuflravit 
Catopcriccm>ut ^toto Ub. ly.Magix fua: ISfatur. apparet ; $c fo* 
ietialia etiafR.ipyfteria eadem arte celare^ ra^me verborum* 
•trm^pofitiQoe^adrenfumdilacerandum^ut notavi exipfomet 
PortafupgKalib.^Par2.Syntagm*3.Cap.ZrPrppofit.i.Nec fibiin 
iJfisTif bis4pntrfidicit> nep mcpnAanter loquitur >ut mox vide- 

i>ico V.ProbabiUfllmurfi mifai vidctar,artificiun>.PprtHF,p^^ 
qttod verbifi illis obfcuris innuit ,e(leilludidem qupdP*Marius w/r»r# 
Bettinus expUcat,utvidimus§. i.huius capitis>nifiqu6d PortaJ^^^-^^ 
^obus tubis parabolicis addi velit tertium cylindricum> qui^^^M^^- 
tSLmea mioimcoecefilarius eft. ColJigo id ex jousxnet Portx yct-fUcMmuf^ 
4>{s»qiiasiniioacmodum commentor & explico» ipfiusmeain- 
kCexdodo «erbA> H qua^^ttanspofita funt , fuis locis relioquende. 



Goc 



404 Parti$I. LibcrVlL 

iMaiori exJeiHone^ fcu tvk>ovMzho\iCOyaHiaradi0s froforti$n$ih 
frogreditur^ fefnper^ue coounngitur inicarconi^ donec adttibi 
focum uniatur in pundo '>rxf^m?er6 fedionefeu parabolico 
cubo majorfit radius,iemper^ue inftar cilathi magis i foco ad os 
par?um,dilatatur rideo fW/M^jlj^ fi^t cyUndracejtfe-- 
iijmiisy(nam eHmedia hstc figura inter conoidem & caliithohibm) 
parvd , & maioris diJciJjionis.t^nfHutatm axtsiy qua tranfeat pcr 
utriusque centrum,(^ fer mtdios far^ttiUsi Hac. machina exnia- 
tori Scminori tubo parabolica;, tL exxyKndrico coagmeotata) 
SoU:offpfitaJdn^efrangif:immiffisjaefys , (^ferpendicularieerceih 
tr&f^Mfnisxjlindraceje^necinvenirtmhacarte^ 
radiim cylindhim> itemm di/uniantnr: Xeapit ergo tu bus parabo^ 
licus maior ///r^i?^ paraHdevSf/S^^^^ A Soleemidos, quos pet 
$!iUijutm.tra»jjnittit inraiioscqtAiti{kzY,UngeajMjufe^ oeav 
pcga9%adit>cum fibcr; ubi intenfecant (e mutuo Ututi radftnmh 
euntefferarffkmforamenfet^fird,9ci»tumMc6 dilatuff^^n^ftr 
ihnfationemeorum permloorem tubum par^olfcum,pcrquec]^^ 
hn$paictumyfirvatnrfroport$0d\\^t^uon\s inchoatar, fedjoftar 
tQliiroQaBihicida: progre diuntur. Revetberet. t^ur tubus maior 
radios ^SpIe acccptos \ (^comburet vhitonusvuUturlMciMorx qut 
frofe centrumftiitQCumeriti necmuUumeiongaturifun^c^l^ufu 
i$m radiorum\fedexeuntenhradiunhabify fun^otixi^ifoa^im tabiu. 
Cjinflatus ex (fecMUfifer/kiefarahtica^dii^ai/fu^^ 
musy/frma maneat\ ita ut huius &prions ti^ifbcusitniiis e&ideflL 
Gt^ qui fbcus (i ignorerur , exferiatur eitts. virfttt filis}cemr0txewa- 
tthns^chordis ferreiSfVelfetaceisy qua:.y.clcomburentiir,Telvciii^ 
mentercalenent. Nec refert utrum maiorr tubus farabola fi^ aaf 
l^karicaiVelMJia einsdim ordims feSiioA^mmoAo^o^ft urai^ De- 
tndi accommpdetur parvus tubus optimefofer centrumdt&s/e&oms.. 
Si frogreSamur extra maiorem t^Mm exftifft radij aliquiyS^ii 
' velfauIoinframhaQVtm tuhnm.nilreJm^Prxttxtznilre^tfifaa- 
ctnummii aut quhnflurimt exfendantur in kuim machioa? fabrioi 
f^nimarti^tismanufend^tfahricaincmpt ipfiusmerPorc(r> quifo- 
IlUbtUBceifunfaebat; ^tuntit^em^chM^inUi:^^ 



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MagiaCatoptro-Cauilica. 405: 

msff$s. T&rmmms Uiitude io utroque cubo nilmcejjkris, fiUimwH^ 
dsfi,fr0pnlfimji$i iiCzhlc\&um z\iq\iid^vtco'€untes in centro radij». 
onimkteeMnt. fenefirs^^rfiretutohUque^ vt recifUt fieculum Hru- • 
IMrrwm^fifort^ad atticondieodaiii ardficiuni muri alicuius reoc* 
ilraciafereseyis. Ethoc modah4tehis^culum(fiijuod^xiyeftimi ^ 
ftst^ ^utMres haht audiendi^udiat. Barbare quidem, non ta* 
mSfine caufa locutifimusynec kreviiss^ut clsriusfotuimm, alioquin 
artiiicium in vulgus propalaretur. o^/ fi farva lcAiomsfftd im 
frsfortione & collocationen^;; re(^ondeat,fittotenilcferm. Ma^ 
p$4S^fcdBio fii circA bafim parabolx cxfciia jfarva circa verticem, 8c. 
jpcims, fit aqutdtftans* Hadcnus ex mente Port^ , ut arbitror. 
Qux (equuntur, clara funt. Si quis meliorcm fcnfum ex didis 
FeH>is eiicuerit»&: mihi eum communicaverit, gratum me habe- • 
i>it. Huncienfum eruere conatus ful > quia ut penitus verba fic. 
tententviai Porta? rejiciam , adduci non potui. 

Dko^ V 1: Virga h«c uftoria Portar,feu mavis> cyKndcr cau* y^^^ 
fF!cu5«non pote({urerein infinitam» necedamin maximam dK W/t fm^ 
fl^anciam^propter cau/as§.3;ex Klrchcroindicatas. Potcfttamen 
aid magnam > eoquemaiorem^ qud maiora> id eft > maioris ledio-^^^^J^^ 
m«6iennc:%eciila. finmmm., 

SYNTAGMA IIL 

DeJ^cculb cmfikoj^ferholicoy eUtptko. 

'DR%et{>aiimi3(Umin combufBonibus Otopcrids habe^ 

topcriGorura Scripcoram luffragio , & experienciS cefte , foe^ f^Jj^^ 
cilllimconcavnm fphjericum,& paraboHcum , ideo de iis iuuiivj^,^^^ 
c^musi Alia f}>ectdtmim genera habencquidera iLi^h fuum in tHm, . 
dSedtiipraBdidlo lbcttm>minij[s^ tameo pjran;ipuum„ 
ideoque. brevi dfeijs agen*^ 
diim). 



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40* Partis I. Llber Vll 

CAPUT PRIMUM. 

^ejjfeculocat^icol^^perhlicojamconv ^ 

i^#f£<Fb TT Ypcrbolcfi V€ Hypcrbolft cft figura pIana,contcnta fub \\m 
*^ cur va & rcda orta cx fcdlionc coni plano aiiquo ncutri coni 
VideFig.lateriparalldo'^ fcditaconftituco, utlatusconi altcrum produ- 
ix.lconSl dum ultra vcrticcm fccct. Takm rcprscfentat Figura a h c i,ifl 
qua Hi vocaturaxis^&diamctcrprimariafivcoriginaria 1 ac 
bafis^ H v^rtcx. InaxccftpunAum^quodfocus&ccntnmire' 
. ficxionis appcilant. Praxcs varias dclincandi hypcrbolai , fcv 
pUnaJbypcrbolicaf cx quibus dcindc moduli formcntur profp^ 
cdis, vidc apud Bctdnum>Kirchcrum> Appollonium^P. Ci^i^«9 
JEiV/rWi io AppolIonium,&aIios. £x omnibus onamappono. 

PROPOSITIO I, 

I^^petbolam hhiuma^tudimde^^^^ 

l.CUpcr rcdam lincam b d quant«vis iongitudinis, crfganir 
myptrtoU ^normalis BG quancasvis etialn Ipngitud^nis. 11. £xrcd2 
^firifth. BD> abfcindatur rcda ba> caqucbifariamdividaturinc.il' 
Rciiqna ad, inclplcn^ab A t dfvifkturii^Guodibctpam 
acqualcs. IV. £x c velutccntro, pcrfioguladivifionunjpun 
^J^*^^|^*da,ducantur»rcusoccditi,quorunMot«^^ rcda b4 

Q^.2uc*^ notcntur^cuiusmodifuntpunda e,f,g,h,i,&c. V. JnplanJ 
aliofcparatoducaturrcaa axpalisreia» b<j, 
perbolasfuturas, eaqucdividatur«D'tofidc<«:partc^a^ualcs, 
quot divtfa cft rcdla ad» V I. Pcr fiogula diviQqiiuni puod^ 
«ducanturrcda^occultc n m K|POP,aQf^S£fc<tad rcdam hi f 
^cndicularcs. VI L InhasoccultastransfcranturfpatiafiB£ 
in BG comprchcnfii, ncmpc B£ cx m utrimquem N,Bfe 
« Hioiniguc in p Uc. 6&habcbisfemiordinatasfutura^hjperiM 



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Magia Catoptro-Cauftica^ 407^ 

/«cerminatas. VIII. Pcrtcrminos n,p,r^&c ducatutlincai 
€ur va, & critHypcrbolc dckripta. 

FROPOSITIO II. 

j S^eculo hy^erbohcoconvexoradijdifj^erpcoU^ 
, fojfuntm^tmm. 

*I>llradoxumhoc?idctur, & contra alionim ^noftradi<aaac^ 

icripta. Euclniesin fiia Catoptrica Thcor* 4 . aflcrit , radios ^ cJ/plcuh 
^lanis oc convcxis fpcculis r^flcxos ncque mutu6 concurrcre:^^^»v«^<> 
ne«W5*rallcIoscflc. Nosctiam fuprilib. 6. Partc i, Syntagm. S^^?*^^^ 
z.cJpfc#roprict.7.&hocIib.7.Synt cap.ii Propofic. ^.di-dil^erfi!* 
xjim^& probarimus > radtos in con vcxum fpeculumiBcidcntcs 
difi^arij hc nif nim^ in unum pun<9iim congregari. NiUlominus 
Prcpofitfonem pofltam demonftrat Behinf^$K\>'m.j. Progym*i. 
Propbfir.i. qucm vidc. fntcliigcnda^autcm eft propofltio pras- 
/cnsjfii divcrfispund:!^ in di v^rfa puniftaincidantradij^poiiere- 
flcdia4uoumj>un(^umi Euclidesaytcm &nosintelIigefidifu- 
in09^ab utt6 pund o ad diveffa incidant radij>eas noh pofle col- 
irgi fntoutt; Utrum Vero tot radij per cooveKum Jbype]i)oIi- 
cura/pecdbm coUigi peflintin unumj utcombiinui^nonaufimi h 
aflicre»; \ 

PROPOSITIO riE 
i^ljf^ hj^erbolrco concarvo radij incidentes coUigi: 

D^moniiFrat Hoc P. Marins Bettinus Aplan 7. Ptogymnaf. !• JJS^^*^' 
Propofit. 1. Corollario 3. qucm tidc j non cnim cxiUimo ope-^J^ Vm^} 
f^^^^^retiumcfi^^demonftrationemadduccrei Apudeun* fpifmur^^' 
d^mficttinum eodcm Apfario Invenies aiia.. * 
ad hyperboKca fpecula ipe^. 
dantia*. 



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^ * Mathe(«os Profedor» libellum tdxdxtdeSpecuUnifimo verdu 
jrimigeHUfidfirmdrePitutOf dedicatum loaoDiGodefrfdoBmh 
t^rgeofi £pirc|^po» cum €ae(aris Legatum Romas apud Patlltiiii 
V. PoQt Max. ^geret. Qua:rit in eoubello » quamam fpeculi u. 
ftorfj feraiityac pratcipua conca?itatii>forma: ftacim^uefnbitti. 
gitjin bi vio fe ftare>6c qu6 le yertat,D«(cire. Hacfishii^inqpSi^n^ 
giam quidemffUnMm^iriiamsmero vUm > mHHesSMmen decOlim^ 
mtOies^tertie^ueqmwrhediCMmmdMermrfmrgheU. Nemo^fi 
hoc iurdirexem^^mn ip/a in iHgreffiu FiteWefOnmion^.^Hat^mA 
hec fiecukgeterefhiUfiphgtifimt^ecttonexUbeUe Auenjmeperfim^^ 
fio c^msmu/crift0f(^f£^ Oferihmfrd/fxexfcJumdk 
%^tchimiAiipfiiqmfir}£mmumcmfinfiviM$ , 
itemdt^ueirmus^im uccefemtdnjmmmJJ^ecuUm Tdrdbtlicum^mp 
$mnes rddufiUusddvnum fmffMmffudd PdraidUfomsiefi ^cmm- 
Tdnti driMitcoeumejpfieadi^^ru^ 

ddnormdmPdrdtdUexcdVdtd fit. Tametii verd hoc ita tBe i^cea- 
vtur4ibens:»placuit tamen viro doSliiSmo fpatian Iiberius,&'a&ii 

SeOttsfpeauIi uftorij toquirerey tn ouo, tion ut in Parab^ifoo^ ra- 
ij (olarcs , ob liimiam , ut aiunti feiidonginquttat^tn» paraiUjli^ 
ied tj potins» qui ex ettlfdem centro in onmes mundi parttti^iite- 
^c^ dtfiuncfaintur » quique proculdubio funt omnium TiniitfBnif 
Jk efficadll!tmi»ad unnm omnes puodum rcftericuffi convoi&tt» 
in otMiis^fWtniAiQne ac febricai faabcatiir^tiam xatio4ifiatt* 

:M'^mm Huiusmodiautemipeculum uftorhmi , •quod ad certamil» ^ 
J^^uium ifinitamque Solisdi(bntiam accommodatum , i:adios^*iiiifett 
'9fi0rmm. ceotrdes^cipita &adunumomnespundummorquet,l|plHr- 
roidiosefle>jfeu> quodidem cft, concaviu«nnobtttwefecnik 
dum cnrvitatMH Uneas Ellipticae elaboratam , ficei^Kcat aeqne 



^emooftrat. 



Poaamos 



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Magia Catoptro-Caultica. 40^ 

Ppoamus in bocSch^mate reftam b o^ diftantiam eilecen- vide VtB^ 
friSollsicentroterras b» &ren(udian)etnjiiiterr£efleBCiqua:i.IconiC 
fubtrada ex bo^ relinquitdiftantiam pundi c/quodponimus^^i^ 
tffevcrticemfpeculi,accntro Soli$ o. Oemum fipundum a 
ftatuatur etle focu$ fpeculi 1 c n> & intervallum t: a , ex nota 
c o, &btrafaatur, relinquetur etiamcognita a o; qua? fi bifariara 
fecetur in d,8c rcda: o c acqudisiiimatur de, definftus^itma- 
ior Ellipfis noftras axis c e, & centrtlmipiluserit d. Minor ve- 
Toaxis erit G D ad maiorem c £ perpendicularis; quamita ter- 
mmabinnii;. Expu*i0:o<>, appIiceturadcDF. redka oF,a:quaIis*^^ 
rtftac D E, vel dc. Reda cnim d f, ^Tcda dg ipfi a:gualis,{^^^lOTf;r 
conftitucntmmoremaxcm gdf. £t£fiat,ut ce ad g f, Ita gfwwiwu 
f Hj cnt yferDefmmncsfecundMsconicorumMffifVomjf^^^ latus ^J^^^ ^ 
re<^um , 8e£OUtustransverrum,inEUipfic(UusaxesiuDt c^^ 
Gf. Pundavero A Scoillaaiod(Ie>in^uibiJsaxis c£ earat^ 
nefecatur, ut rcdaiigula co i« £AC,qux totumaxem c£ nequa* 
L quam Qccupant^ fed deficiuiit quadratisTe<^rum oe, Ac^a^ua- 
^liafintquarcaspartL£gurae,feu redanguli fub lateribusx£# £h, 
tttansverfo 8c rccio , contenti vel quode6dem recidit , a^qualia 
.iintqiiadtatofed^ d f. Hocenim^uadratum D^F>eoqu6d Qif 
dap\z^tip&m^^^^ 10« lhrofi^tMb.6. Elem. 

giiartam partem quadrati gf. Et quadratum o v^fer Trofojiuij. 
uiu/dem //L 6, a:qudc eft redangulo c £h ^ ipropterea ^uddf re&ka 
UG ir «jcdia proportionalisiitiater C £, 8c £H. 
|r Qaaa autem re(^angu1a c o £> £ a x:, asqualia fint quadra^ 
co T> F, ita demonftratur. Retfta cl (e^taeftbifariamin d, 8c 
aJDjiiiariam m o: quare ferProfq/it^^JiluuSJem. re^langUlum 
o E, unk cumquadrato d o, ^aequaleeiftquadrato i> £, hoc eft» 
quadrato o P, rclper PytJugor/cum,fiu4j.I^(^ofitMhj.£km.^qn'^ 
dratis df, dov ablatoquecommuni<juadrato 3)o> Tcmanetre- 
gukim c o £ (& eadem eft ratio t edaoguli £ a c)<]uadratd 
adeoque 6c quartas parti rcdmguli c £h xquale» Ergo fer 
liky. ComcortmJfollonii , radijiolis ex cem;roeios o. 




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j^\o Partii I. Libcr Vlf. 

furad pu5Sttm a> fcu,quodidcmcft,aDgyli oi ua r w, qiiosai 
punduih I cumtangcntc l i m conftituunc radius incideni oi» 
&rcflexusi Aj,a?qualcsfune. Etgojkc. 

A N N O T A T I O; 

^^gZ cdufts^ , tum ijuid nabif nQH cmftatvera SoUe kterraetniredifiMh 
GrmnhiT' tio^ Si t49HemrMij mefirsaifignis Mptifint fkfffie 
K!dlt^ r4«i vftionem ferJpecuUtVtififrk Sjntagm.i Caf, i anitio retuliex Itt- 
pJi tino \ foJfitconprutj^efulitmEUiftieumexfrgne^ 

vno focorumcornbuxeretuffUutMmmMeridm^^ftinukero^ollocarm 

fiammdfifkienu 

SYNtAGM A IV; 

DeSpecattJ plantFcaufiicii^ 

S/fft»ik C Hpi^Syniagm* iw Cap. i. Ptopofit. i. dtrmonftraYmios, fpcctr- 
iitau!^*^ luniplanuro folicarifc accepcum noo pofFc prodttccrc ignero; 

Videndumnimcuirijai id:po(Cicum aliis^feu^planis^u-nonpiar' 

tti&cbniundum.. 



PROFOSITIO L 



Vynmk- 



St e f^ecuUs planis formetw fyramis concaroa fotf- 

urdtfimtesy repBenttiradnfHmm pHftShtm axisy Mit» 
^bfreSy^atttoplaraeruutlaterafy- 
ramdii.. 

% p 5«o pyramistrigona. a b c 0, rociiscaya, khtetihihua'^ 



n.Icomf; t^ternafpecuIariajCHiiisaxis FDiKafis abc. Oico,fi calb^ecs- 
bimfoli^vertatur , ita ut baits a b c Qt roliparallelii , & aas a b 
coiocidar ciun. axe e a m^, onmes radios A>lis «quaJtter 



t 

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Ma^aCacoptro-CauAtcau - 4^1 

axe AJ^M diftances^comusrrereadunumpundumai^ T.g. ra- 
dios GH iK, ad pundum l> & radtos »r o t (^i ad punaum 
K.^ Ratio cft, quia hxriusmodi radtj faciunt arquales angulos inci* 
dentias cum fuis lateribus > ergo &c arquales angulos rtilexionrs^ 
ergo ciim intUs Terfus axem refledlancur . T)ecen^ri6 concurr ere 
'de^^entin tfnopundoHxis , alioquin uonfacerenc acqualesangti* 
losTeHcxionif. 

Tanto aotem plures radij in vno axis pund^o conTenienn 
quant6pluralaftra habtieritpotjgonapyramis. Sicinpyramide 
trigonax:onTenient io quolibet pundo axis tres radij, in tetrago- 
na quatuor,in pentagona quinque,in dodecagonadubdfecim, 8c 
fic in ioifinituai > donccia rimindaminterior caTitaseraferitfi- 
£uram. 

CORO|LL A RI A. 

r^OHigitHr hinc I. SirddijinijmHhtt fmiifo^isc$tte^^ 
^^fuerintMdcombufi.ioncMfAcie^dam,eamficuturam I Ulncoaoif^-^^ ; 
tmcwo & Jpecidariif9fimtos radiosimqkaUhetaxfs funSiocmcurrere/^^'^*^^^ 
quoniam infinhis qua/ilaterivus conftat. III. Jn hmmmodi Jpecnho^^^^^^* 
.nonmfuniloaxisvnofidinjnfinitisyatqueadeoinlinea^rivflio^ 
I V. SiinpunSlo ^ axis "^x^ coUocareturlumen^iUudreflexumiriinfi^ 
nfum. 

TlwA ^ecula plana ita difponi pofunt^ vUrdun^ \^it^\ 
tum fedes ^rerefo^nt^ fitmdi^mi 
T)^tmcii^toil^oxi\tP.AthanafmKirc^ 

^ Par.}. Diftina.9,Cap.i Problem.^^finimjrumquotlibetrpc-^^'''!*- 
cula A,B,c,D,E,8cc ita difponantur, ut folis g radiosreflcdant o- rlS 
mniafimulinlocum F.Sufponit sLUiem I. Speculumplanumtan- ixu^'^'^ 
toniaiorem lucem refltdere in aliquod plannm ei o^pofitum^ ^fni^m 
i}iiaot6 iUudmaius fueric. rtapedalc fpeculomiii Ticinopariete^f^T 
lucidum difcuro pedalem , in remoto ad centumpedes tawum^ uZm^ 
Quama eft quaru pars pcdis,, proiicere expcricntia compcrit. qZi 



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1 

Google 



412; PkrtisL Lib. Vll 

• 

Xiif2^»it IL inftoitos, radios ex (ingulis fpecun pun<£lis reffexor 
&anclucem.coQftituere. Si iuque aUudipceulum pfanQmita. 
conftituacurvut reflexa ciu5.1uxprioris (pecull rcfle:i^lucicQfi- 
gputjjprior lux>Scconfequenter calor^plb augebiturr&TrceN 
tiunilpeculuni.itafliatuacur,utluxeiu5reflexa^duplicatas 
tealuciaddatut ) triplicabirurlux&calor: Scqu6plurafpccula 
M^cbin i^fledkentifiadidideris>e6magislux&cab 
^xfirimen huius teiexperimentum fumpdtflomxquincperjpecuTis^Sci^' 
^^T^^^^pcm reflexam 4 luce dirciia diverfum, 

^U^^ fioccfl^>inaiorembabuiflccalorcm » duplicatam vcrolucemre* 
flcxam'notabifiecaIorisaugmcntum (uicepiflc, triplatam alo* 
ccnrfgnis^quadlruplicatam calocemiUccunq;> toIerabtfom,auia- 
tuplicatam parae intolerabilem habuif]^ Ex hh certo^dc mdibi' 
SpicuU tat^conclufl^t^muldplicatis fpecuIis^^IanisySc ca coiloca- 
fUnsiffi^ tii5,utomnia reflcxam folis lucem unum in fpacium cogant ,itit^ 
'^cmhH^ niin ut non tantum maiorem uftionis effccium, qua*n qaaflibct 
Tfndi. ufl:oriaparabolica,hyperboljica,eiliptfca prorflsent >led& tnfnd^ 
, t&niajusinariamquamilla Ipfeper 
cpltoquc diiSa fpecuht locem ad fpatium cenrum Scampliijs^pe- 
eumproiecit*. 

Maiorcnraurem eflcdum flc difpofit^a fpccula plaoai qdin 
nAoriaparabolica fqua^ pr^rcipua funt)pr^ftare,ita oftcndjt Pa- 
i^bolicafpeculalineiscancurn it) unumpundum.collecftisaiSfo^ 
ncmpcrflciunt» fpecula verd plana adinobilifmt^, fiVe Int^w 
fiicidis flipcrficicbus^i quarum vnaquxquc infinitis radiis agic. 
PraetcrcaradiJ: pcr fpccula parabolica proiedi cum ad magnum^ 
^ariumprogred1uncur,valdeobIiquefeinterfecant>&p2eoiiQ 
paraUcliunum dcgenerant , idcoqac omncm urendi vim per- 
diinfcpcr planavcro fpec«Ia,cum non radij,(cd fupcrffcieslucidf 
profundanrur , & cmncsin uaum Ibcum congregcncur, ibide* 
* urcncyvin^.c6magis^augent,qu6pIurafuerintfpeculaIeG^mre- 
fte^entia. Siquis.igiturmuIcafpecuIkpIanaeomodocoiiiBto» 
at> utomnlaadunumlocumtrcflciflaarluccm »,noneA!duhiuM! 
' quinibidcmmaioi:calorproduca^ur^,qu4mxD:i 
fttaiicifbcQ;. 



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MagilCataptiw-CanfflGt. 41; ' 

SYNTAJGMA V. 
P?SpecuhscauftichrArrfm<iicdis&: i^^^ir 

Prodl. V "* ^/«.^«6» 

^"^*^ V/:fnfl57r;Hn ^.vr^oO D-»»rr.of: 'ii 

F^Uos iiingocsv6i: totffnukkl^^ 
^cubrutnopificrs biftorlaEfliobi!^ 

fffic ex ijs encito> & procul miifld\ hoft^ttAi^fiiAiU^mktpito • 
Dibos av^erterunt , incennseotUtti navtbusy^nr oimDxsii^famaJ^ 
&mptrerna;Archiraedeni,&Pfdclum.0eP^clc>b^^ 
/r/^^tom. 3. Hif¥oriarum in AnadaHo Dtcor^; J^^^hMtffPtmi^ l 
qui LMjfis&&cyrhi6 fihi conciliatHs yjeditionem mwebat^ & ex^O' 
Bjz^antio pr^das agebaty&ckjjkpfhef^ohjidehat :p^^ 
pibtmreptirrnnvalr^puj^^cemmijlj^ y exmathinar^uadamaProcb 
^inexcellentijjimo falta (js enim tum &in Vhilofofhia\(it mxJjX€cha^ 
mck florehaPy nej^ Archimedts duniakurceleher^tfm^^freifckeo 
0mnia ^fed& ip^nowqMdamadinvenerat^clipshofliikmd^ 
tft. Nam (pecula exArefahrkaJJe vftoriaferturfVi>chs^ ta^Htnm^t 
r^atg^Htho^iliumrnaviumJftJJrendiJJe it$ iji$4tc$imfiKirt59kd^impepf^^ 
jrnti ignemindefulminisif^itr^rihnfent^ tlk^msi if^ts^iNi^iyeo^^ 
hafiissmcomhujh^e - sjuod^^timjfl^^ibnedhtt 

aifks^ohftdentibus , Dtott refert. AreirimediS^^ufifrlA notiffima^ll; hnhsmi' 
camqtienosbreviterlib;i.capitf.receofliimii$- DcArcliiraedei*^'^^»**^ 
fpccuib mentionem ftcieetiam Galenfisyb.yMTelnj^n^^ 
p rocul ab tnttlb« OSr^ ^ifc w •T^aijJC^t} ti^ AfXi^^^t^ ^d^sq^-nihf it^f^^ 

ffacmodt^tiMrhitror; xirK^rchimtdkmdtcnnrfermnkt^ 
aemltfi^hofHttmfrit^mts-.fitcttmB^wverof^ 
Uttott^&finftf^y^tllj^hmttm^ tS^finmlayt^ommitqfi^ 
ikttm&rarumi. %homt$s^Lmacmtsnz ycnitciax^ycAM^oipt^ ^ 

EBB $ allteu 



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mtdem ho^iumMremesferp^itdsdi^bsUpiaeiincendiffe. Ftrrtfnc- 

; -.' j^Hiddepi^ueJimwterhffJccumrarumj^efi.S^bi iDcpcllIim^qu^Ga- 
ieods appellat irvftit, incerprecatuf lapides pyrkes , ciin» per 
apud<^(^«Biim<aibilaliua iaceUigacuc nifiipecula cauftica ,fcti- 
|>(i(Teque Archimedcrtilibrani jrtfJm/^/wr, dejfecults cmfticut qui 
iitb nomioe Go^avc cuiuraam «ftrfdimi incerprecis circuroftr- 
t\3XtV[9i&tOtvidRrv4ldm ia vi«|iir4>^mfldis prcfixaArcliifnedK 
OperibusifePanfiit«dtcis. £iurdembiftoria^& efle^uscauftid 
ipecaii Arebtafidinilieaiait DioHHifioricm, & TT^tz^siiifitr, 3; 
CfaiUada.otrius verba poflea dabo. 

/ Girca-cattftica^aEic Arcbimedi^&PfodiipecuIaquxritur, 

cwus/ormaBiueriQtj.&ad quaocan diftaociam combuU^iDC. 

1. 1 1. CmHsfornufucrtnt Sfectda caufiica Archi- 

medis^^Trocli? . 

/^XIid Hiftorkcquid £imade Arcfairaedislpecvlo caufticoail 
^^<nos transmiierii^c , vidimus. Ucioam aucem iama ad noi 
t^DCi lagenii iola non veoklet , fed vel aliqua (peculorum fci- 
■aneottfecumactttliiI<K,jirelievem.ralcemconftruAion4s,di^^^^ 
iifiopisque/acioaem docuiiTec s^^profead Syracufoeciain 
fap4ie>& pTores Arcfaimcdes rileoc, qui mcenibus afcereiubo- 
ilem,quiulcricibusflamm»&4arcell9s^epcllereac. Sedfruftra 
"VQcamus eum , quem Marcellus iple'edido|iublico incoiu- 
. mtfsi fibi (crvarc potuic. Supercft uc aliorura de ca reopioio- 
. ^es aiferamusrSc quid ooc fciHiamus.breviccr Aacuanu». 
hrtUmtik - Wcriqucpocaw,radios Soys.,qiUMad fcof^^ 
^cniMm eiusicci!radift^wciam,iiacis<;onftateCc parallelos, vixcoogrega; 
vfitritim riiL^cailisplattis tcflcxos , coovexi» autem pocivsdisgregari, 
^i^^i adeoqH*ipcciiia uilona pcr rdlcxiooem debccc cfle coocara 
' ' fph«tica,pacaboli^jrperbodic»,ellip^ 



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^iagfeeinf©ftr4.CaBftica. >4»r 

ximiparaboUca. EtparafeolicufflfinfleArdilfiwdfc^i^cu^^ 
exrfttmant Vitclto, Caf danus, Joanocs Baptifta Porta, Bcttions, aji pnPMiiP^ 
tc alii intflci^ ncc abnuit Atkanafius Kircbcrds lib, io^Lncis^^HcMmf 
Umb. Par. j. Dfftina. v Ca p. i. per totuin ,itiaxliiiirT«f ^ocolLi. 
fcHicronymusCardanosIib.^vdcSybtilk uftatar4capud Coa- 
radom Gdncruminvcnirc,FrancifcumMaBrolya*m Abbatem 
Mcffancnfem fcnpfiflc, cxtare libruro Arcbimcdis» io quo docc- 

Tsc^jccs //^#r,35.Chiliad.z.de A^clMniedlis^ecitio^ill&que 
foraift,barchabet. LaUna v^rba doygraMa videapwl Kircbefum ^^/^^J^ 
locoiuprj^cic ' . ' ' / 

thm aHtem Afarrelks rmpvijpffffd^ 

HexsgonumakqMi^ecukmfabricavkJeuex^ 
Adiftantia amemcQmmerifMraii^ecuJ»\ . ^ ^ 
far^ataUaf^nkcimfoJti^^ . 
^4iamovebantHrUmims^C^q uwmdam camt^ 
McdiumilluduJuitradierumSelis^ - * 

Meridknt^a^dftivalis.&hymsaliFk 
BeflexisverodeiU€epsinlHMradiiSr , 
ixarlioMtformidalri&Syignaanwiim^ 
Eihacindneremredegit.exUtsgiUfdinrfu£hsearcttt^ 
yufritaqueT2ctzes> Archimcdem u<ufii fpccido hexagd^ 
soyCHi circumpoiicacranrycx certa diftatitiai parvafpecolaqua- ' 
drangQlaiia, kminis ca vaturisfcu fcul|^^ 
Msqucira dirpofita^utaddefideratumangulumelevjiriacdepri* 
ml podmt^adibsqueSoIis acccpt^s rcfle^itre^ ia jfpccuhihi ma» 
jusi^agomim^indcqueadnaYCsprocBlpofita^ HancMadbt- 
nam ita difpofuit Archimcdcs > ucSolem meridianBm reipicerer 
mtcr folftttiurviaEftivaieScl^cmalc. ha eg;o4iitcrpfetorTze* 
t^m» Alii perfpc€utum4icxagonumhoc kMoititeltigafmfpeca* 
lum rpbirrfcum tdt)cav^ii)*,qiiod fexta effec filBHtt^^ JU* 
e^UmForefiin Florifegiounivcrral. PaM.Di(7arvati#.f^q ^.Art^.yjj^ ^ 
ki terprctatur cundem Tretzcm in bunc modum,qifl^ vcJitAr- y i. Ico-^ 
diimedcmconftruxifl^^CMlumrc^ngaluiii ABC2ȣf^ wivsS.xilu. 

adiia* 



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iriirpecuUqiiadoQgularvolubfliadrcalaterumaxesi&i^ 
.c«]»crfuiifiacatiii£rQktribuj(ad meridien) ,sGve ^YunKjuitKmfit 
TreptcttsctociBj^vefaybernufB^quaifaaiicXrppicus Capricor- 
iihporrb j:tpevcQ&iolariW radiis*4c a miDenbusipeculu 
mumiSLkmaibn adttieemes>i«i£^ufagictae,ideft,plu«q|ultnceo- 

- tttw>paifihnsdiffitts»ip(a<aiiiilomiomiiammis abfumpfiiTe. 

'Bgfaitum4ii£B^itt. riiifier^ia^a 
Vide Fig.ibumparabolicum a, cuujsorificio maioriiilabunturradiiSo. 
V. iconiL lls partUIeti,iinunQriver6orificioegrediunturcoBiiDftar,cuius 
Aif. XXI. vertex ad^aVim usque^^acbidam , ^ ralQJiasreQtem» pertingir. 
A» pMr»t«.'C3^<y>i^<^on^uik* . Maud ah(imile««ioe(l , Tolvifle eum, Ar- 
uJmsrS' cbimedMQvaU^filun fuilie mbc^eft reureQte^cumfciretpata- 
jfMmni bolicam^pttculvaiadcaa^mdiftantiam,quantamiiklorixpto- 

dideruDt,Dequaquanvurerefiot$uifle. 

T.Marius BettimiUikpiMio 7.Progymnafmt,Propofiti.(inii- 

literixiftimat, (peoUaiiiloEiaaonquorum ,qutbus navesioceo- 
A»/i«!«(«- dexuot,pacabolieiqnidemAufl«<(^itruo modufntuix 
Utumtr»n. paca^Hci' ^t)»rnt$.ut v«ra.factflMS ittGeiiid»um.^cere poflenc, 
''^^'JI^Jl^-etmaAd^mipY^^ «xtra osardius 

- «e^kntn^ryiWna^^ifelaiiofembul^iirafa^olicp^^juxtaeaqiu; 

i:PteQli^«0u}lVib^VQiia)Ves,%9llilc»Byiiaatiiambuinr,(o^to 
cuium V- .£|,,ni*fucFit, aibil«iaremfl(apu4*U«m Au^loremjnill qupd/. 

hwviM Umb.FAri>.Diftina.3.Pn)- 

- Uera.4aQxifti»A!ti4eum efieci0e^cu|is fims^ mpdoioinu- 
• vis)^ aaeipne pmvi^ dil[p«ifiti$ ,<]«em io pfai^deati SyocAgm 
APropo&i^B ft ^ fm l^fybcro tradiiElfrv $Jicolm quioqueifwcu- 

. « Tla^lQciym 4ii^9mod6^i%onta ta^tumm lioco reH«acioi}isj»iO' 
: itoiioftttteunt,dtiexpei[i<iotia ab ipTofa^a cosDft.it,vt vixma- 
" >r iiJui$4bficoeapoftet>f*<^inquit,</5w4^ tfntttnHMt miBtpctli 



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Magia Catoptro-Caufticju 417 

hcmgffMdiJ^oJiu^Cntumeft^cdhremtdmi^^ fore^vtomntt 
sinrere fojpt^ & in cincres redigere\ chm foctu htcmeiorfit^fSrlon^ 
conJKfoiiot^uamin vltis dliis pdrdbolicis fffccuUs. R ogat proinde cmifnf^ 
obnixfeCatoptricos Mathem^icos^ut huiusfeiexperimcDtum^^^'*^ 
ramma diHgeDtia fufcipiantiinvcnient enim^ut putat> ^^^m^^ZS^ 
aliod machinaroentum catoptricum efle^quod & maiorem in Md ?mlZ 
QroKlovim^&inmaioremdiftaotiam^obtineat. rmdHm, 

IIL qtiantam difiantiMn Archimedis f^e- 
eutam incenderit n^rves. 

\7 Afi^MC ffiinus hyperbolic^6c ingenticum exaggeratlope^ 
^ ioluicretoqaunturScifiptores. PhiliMmClnv€rim inS\di\kzf^^ 
aodquaaftyiiaves combuftas ad diftaotiam trium miHiumpaf. jidqtuMtd 
{\xaxmDi0derm Sioalusadtriaftadia,hoceft»pallustrecentosferj|^^^^ 
pt«^;mta4uiDque; Tis^je^/,utprascedeoti S.vidimusjadia^mJ^JJ^*' 
fskpmsi laaus autemfagiMa: proarcuum varietatcdiverfiilmuis 
eni /brtiorcs arcus fagitumadioo.pairusutplurimumproiici- 
onM^i iiiajori»alij minori fpatio. P.i^thdm^mKircherm^mm 
Svriicafiittfanfiret , io Meli tam navi eaturas , iocum exquo Ar« 
cotatedes opefpccuiorum naves combufliirc traditur,diligentcr 
examiiiavit»reperitque ipatiummult^minys eflequim Audo- 
rcstradaotyvidelicetimmedflat^ admctnia illius urbis p;(rtises 
c|Mnior,qQamantiquit^ Acradinam vocabadt, & hodle non 
^amoGi^extac. Unde collc2it,combuftioncm illam poffibilem 
/bifliMlaeafflqticcaufticam miffetriginta pafluum adfummum» 
ttoiMaiplius. Moveturfaisargumentis.I.quianullumfpeculum 
pnaboncbffl humanainduftria fieripoteft tanta^magnitudinis^J^^^^^ 
qii6dtirat ad tantamdtftandam>quantam alii ftatuunt. Pom^nHaump^ 
nMit«BUD>iQquit,fegmentum fpcculi paraboltci tanta: magnitU'*''^ p^f^^hU 
ditfi>|Damacft Cupula D. Petd in Vaticaoo,lioc eft > quan tum^ll^')^* 
«ft PaMlttoo Roma^^quod nuoc vocant Ld S^tundd^^cpod iogens qmtrdad 

F^-^tesOtelim rbtundums nullum id dfcdum pro(ludurum'^^^«'«' 
jo dttaittbuoo.paffuum,qualcmk^ 
GGG Roma- 



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fi.omanam itTemplo O.Pecri in Vaticano. Si 
Odt CufuU diourk ftoUm^LtCA t CcUepo Ronuno /umiUurivfior^ (fini 
bjtfim tton nifi vnctdm cum /emije fcdis Romdni hdhere referifmm. 
^uis jam credaSy conum vfforium diSlif^cnli c^mdcisum in iou ^ 
fiantuL ohtinere^ cumomnts rddifi. prdtercfuam ifuod dd pdrdSelifium 
convergdnti itd finfim dehilitentur/utin diffo loco frorfits evanycsmf 
I Lquia ftaciooe&Qavium MarcelliDoafiicruQtinalcofiiati^fcd 
Cdiwftri- ad muros Acradioat^uci ex Hiftoricis>& ratiooe ipfaprobat IIL 
tsm mt quta ad combuftioncm catoptricam per cooca va ^ p«ral>oljc> 
somhufiU' fpeculaircquiruotur tria^quorum quolibcrdcficrcotccaufticuni 
r#^^. cfltecaumfcauiimpoffibilceft. fr/;»//w^,uttumcombuftifOfli^ 
nm. tdnti combuUlbile prorfus firmo 8£ fmmoto fiot ftaeu^t Seamim 
iitcerudiftao€ia(kiotercombuftrvum& combiifttbiie,exfO 
fbcuscaufttcus^feu unio radiorum^rem (ticceodendampn|ini 
atciogl^t: 7^f//iy;Ki^utcombi]ftibilcapt2ic0ofte€ rmitetil&^adco^ 
cipiendum ignem« Omnia ha^c derbere, (i tanta fott diftaQnr 
navtamimoeaibu5>qaantam Audoferponiincoccoafidenuitt 
patet. 

V L J^ftra. de d/drcBimedu Troctt J^tculk 

fententM^ ' 

A Ai:c&imedemquod attinet,cgo exiffimo,eitm no^tiw^ 
dHTnhi ^ tamdiftantiam,quantaab Audoribusfing^ituradop^waoW 
iuMf 6* leiidunAvfedfijnmium addi(laotiaro pedum triginta cir^itcrtUt 
^ikum Kircberus^exiflimat ^combuffiflc na v^» & quidcm fiatarias# ac 
Bifu,^^' £brtaflis in portu maiorihasrentes. £a Syractifarum ( ouxoliai 
^ TecrapoIiseratsUtex Cicerone»DiodorojLivio,Pluurcno,5tnk 

bone;& aUiscon(lat)pars,qua& Infub vocabacur)26 niinc iolttf^t 
^^^^^ cac,intec duos quondam.erat9& eciamnunvedinchiia poraiUBi- 
heJsy^ oorem ab orten te , &.ab occidente maiorem. Hic ^ncThomai 
mifmu^vr-^E^ztlkis^r aliiquc tcftantui' ^ & cgo ipfe diKgenti infpc^ioB^ 
tk'm^ cikm Syracufls morarec,depi:efaeodI>,^ucesJ&betpateDCfsa^ 

qjaiogauospaflxiSdianibicumi^^ 

dextcraa 



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^ttei^ ifltrocnncfbiis a tkitc mopnu Ififo^ar^ftiitk Atethute) 
fidi^i'»! nuncviDecis^ oJivetij dccoraturi ad «xcremura» 
^ 43ippofica lavcium « Ai^pum. flMvium rec^pic « & oltm vrbis 
anciqaa& ro<cniaalluebac^ inboc porcu ftajbanc Vf arcelli naves» 
£klcesRalk)uaM}onadmoduma moenibus remocar. In basergo 
.iuivesi& incjuieta Aactoneba^renceSi&oonadmodum remocas« 
Arcbimedem pugnaffe fpeculis crediderim. Aut Cx ex Acradina 
concraea^em^uc Kircberus cum aluspucac^ F^laiiQ^viCiqttiecaif 
^ui fuifle «ecefle eft. 

fxiftimo p^a?cerea,(pecukim parabolicum fieri po0e» ingeft- 
t» cwidera parabola? iegmencum.non ma^o^ camen moli$^uod 
addiiUnciamc^ig^ncapalWme^Pedbm cauft^^ v 
fiiMpa^;ii ea arce parecur , quam fuf racradidi Syocj^m»i,Cap.}. 

4pfc^^i^ircberus referc de V^^peximioManfredoSeptak^^^^^Adi 
4^^ti^.ii£o Med^ ^m babere fp^culam paraboiicum*^'^^^? 

j(|tiod ad ^ywadecim ac fexdecimfer^patiuum cU(|amian[t com s^/X 
4>Mrit aderes » coni uftorii vercici oppoficqs y quod eciap» ceftaa- 
jfWrViH ^ded^aiiEpii a Kircljiero reJaci , Scipiemec D^Sepca- 
l«li(i(i^^^ibip:|ndacqueicerumaiErni^ Hqiufe^o(^ 
ifii^ foc9HVi»ndecim pa^nbus ab cios fuperficiediftanti» uaf^llf 
fCivecufi^i|bi)sparabolicusmodoanobiscrac^ Bet* 
cmofupr4Syncagm.z. Cap ^5. icamradiosincylindrumcolledojg 
j|f 4Qsmi|f{fcecBlccrius ; dubjam nuUum ^,quioadalii3s<]uinde- 
i^j>^^^s^eS<^^pf.prspAsitf^^^ Necdicas,radiosmcancaAfpe» 
culo difiaocia languefccre,& nullam vim ad comburendum bak 
bere. Cum enim cylindrus non ^fpeculifuperficie,fcd aconi 1 
radiofi c fpeci| Wmim verrice,ubi calor eft veQenoencifiimuS|in- 
ctpiac; languefcec quidcm candcm , led non nifi {K)ft loogum ^ 

Ulceri^ exiftimo, Arcbimedem adbibuifi^ /pecalom Pa- ^^Mm. 
raboliosm , qoia vidco Audoresfer&omnes veceres & wencio-^f^^^ 
jres ioh6cconfencire'»cuiuscunquefoericmagnitudinfs. mtv'^^. 

Tandem videcur mihi probabilrffimttm> Atchimedemfuif ^j^-^m/m. * 
4c ulom veWpciiulo parabolicomcegroivel trancaco^ **^®^X#3r^ 

OGG a parabo7iir4»wiM»; 



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410 PafHsI/Liber Va 

parabobcum effi>rfflato s&luilas deiode fbco applictffiealiiiiti 
ttibum parabolicam youi radios in vercicecbQi u&ot^ coiufites 
€xceperic> tc tn paraUefifmum coados > cranfmifcriradDavestt& 
que. Hoc (i verumeA» non fuic neceflaria praxila quaeckm ,& 
tn indivifibili confiftens diflancta incer fpeculum & Dafesiim 
necedarium fbrec , (i coni uftoni apex accingere debuiikcoam 
Speculum camen pars^olicum primarium non valde remotiuB 
ifupecficie fbcumfuum habuide exifttmo , cumquia quxfocam 
vkinum habenCi vehemencius & celerLuscomburufiCrCOiiiqvia 
£(peculum ilhidprimarium difpofuifiec fupra murum auttucrim 
porcui immtnencem ,focus fbifiec porredus excra murumi ae 
proiddefecundarium fpeculum truncacum appltcari nonpetU' 
ifZecvfiauCem tacus ficremocH tnuro difpofuiflec ,.nonhalMitf^ 
maioremefletflum innaves»cu^m vicinum habensfbetitt^Cch' 
pra ihuros difpofitom» Poflfe aucem radfos reftc*^ /%ci^(o» 
ipeculi coltedos^veheroenciffimaque vi ad comburcodumprar* 
aicusipropa^ari cylindrtci per tubum parabolicum adfpatiotn 
«igiBcacirctter paffuum^l&adhucvim ad^nibufeftdum obtt 
nac, non vtdetur t(tc incredibilc. Si camen ad timtiiillxfifta^ 
tiam minus e^ax efftc cyltndrus luminoffas^ pofRtot dilpt* 
plura rpecula , quar cylindrosfuoslumfnofosin uQum ^^euooiea 
locum pro]icerent,& catorenvaugetrent. 
WroeUnHf^ Proclum quod attiDec,exiiliroo eurofuiflctiftittiWe» 

^ Arr£^^'' gcncre, codemqj arclficio^ quoArchinaectem 'fliilltettfoii 
fctebac procul dubiow 

SYNTAGMA Vi 

^Hs coUeBa^, ■'■ '■' ', 

A Noouicrrcaipecula uftMia itaverfarirui»,utfpha3acWD& 
fittpat»^ ^paraooltGiuniCdfiavumprarcipu^poflieritaticr^ 

lHK»I^|«i»ddid«imcQn^ p^nunidale a vidiii|ii»SjB' 



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1|l|5il4.PropQiit.i JoannesBaptifta Porta cx yarjis fcemcotisr 
zo^^B£iaitf>tubis corum fpccuIoruj:Qiuftpriaiin^^^ 
inon parum auxit, utvidimus Syntagm.i.iSc i.&icgtjpbtcftapud 
ipfumlib.i7, Magice Naturali/?^ P. Clir|ftodbqrus Griinbcrg^ ^ 
riis cxtcndit cana fiippcllcdilcmad ElllpCiijiii anus uno f^a5lQ|" 
lnminarc^ut iqalwro fiat concurfus radiorum^& fiat combuftio^ 
ut vidimus Syntagm*}. Cap.z. Atquiseius ufus ad praefentiam 
iolb? P.Athanaftu^ Kirch^rusp^jr fpccula plana taotufri vchc- 
Bl^^cauxit ?rlfp caufticam >ut;i^i^^ 

PiMiai^ius Bctttnus HypcrboIes^u^^ incaufticis opcratiohlbiis; 
cemmcodat^ut vidimus Syatagm«3.Cdp..i. .Idctn Bettiousi^oiii 
rol^m pcasdidarum%urarumTcgmcnt4>fc^v*'^^^ miJl^l^ 
jformia uftoria affcrt Apiario j.ProgympaC}^^ 
jyihaoafius Kirchcrus lib.ioXucis 6c Umb. 

illbusfequentiadcfumpfi.' ^ 



.1 \ - I • 




PRAGMATIA 'Fv 




quapumimc'eria.Poficoverckepat^oixinceotroiiK^}^,df^ 
cumegeris, foniiaMpllaio <;^aaiacerui(iCDiipavum parabolicfi : 
exq,uon.mo<lulumconficia«expacre fnacre^ue conftancem, ut 
Arti<fic»apP<!teant,8c<pecutoremhiiftbam,de^uaIi * 
Pf ^Tuf.^.iomdttiSifoperffciempariet cohcavam parabt^ 
dtMfcriti ac diligdritcr polita, iilitta didta ibfdfeitf tanif em liiffpe. PMrsifmm 
cu^b?<>paraBonid'^vadet St^d^hkcrcMiki^ti&Sy^ 
z.cap.x:Annotat.f. - < - v . : . .:/.iuFii. 

Ex eiuiHeni fora&ae DaRy^$c4e: vjif ii dtf^iooe io materift 
Bifoti^y vacix alia; ^uperhcies paraboliform« CQocayae pro^u^ 
caatuciquaeomoes fuosparricularesefl^dbf tiunihiuumlQ^^ 



422. -^attislPtKb^r^lt-^ 

^^^ufiUmm qui<lcm fi inlongum'duxerisparaboliciitTifOTmamtfaosvcfft^ 
^r«rfl. iu^ifoc^^ niV^cria , fcilicct in gypfo, lutes tcfira^fJgtfltf!^ kaw 
Vid, Fig i':^^^©^^^ rnfnd^atfem inquomaccriajacct>|Wfatlclusf 
▼iiijco- fictin eamatcria concavum k l, in forma luteris feu lintrisfapcr 
^^^^**"' 4icic paraboliformi conftantis , uti in appofita Figura apparcti 
^u* oppofi ta , reflcdct rii«oS in«nt 

^mr^^ £tfi circa extrcma m 8c K ck 

jpMqiaturft 



^^eDdtculum ipf^entc > vehcmcntior fict uftio in didis pu«dJ$ 
W & Nilqus^ni in aliis pundis iiniear,qui^plures ibi radij conflocnt, 
quam in alilspundis. Imagincs quoque hoc fpcculdMpncfcii- 
JitfyMtisiM^ dici poteft erunt monftruofa;, Ij^^' 

Tocidumcai^icnmp0r4holifQr^^ 

'^^'^T QI ^PCIPam^ A cif da(n intra materiaip fiifo 

tZticJm. ^riam;ei5Su^dcrtcerW^^ £ vc- 

/ . . r luijaxcnv; fpfiqiabitwr ip ilU p?ttflria cpricay um ^a^abqlifonw 

" < . 8pinmo|ium'fi0cu^^^^^^ 

yi^e Fig-tun9>rc£fc(£letradios>& uret incircuiumfeucoronaip QH>&mi- 
niL XXI» ' ' - ^ . • ^ ^ ™ i - * ' 

' AN NOT ATIO'^ I. 

^^^div9r:T\ ((/'infiArteguUfirmif^ ^ytentfsfx$ra &foJifiy itjtm conum^vj^ 
, fium fMrMboUcum c^4:umqu4£ e^tMcavp in orhem infrd fi vflorim) 
\. ! V wtmftdierei^ellifmum^^ f^^^ 
iidctVQ^^Afiarioy.Pr^^ 

CMHfik^ ^ ficerkloJcofofriM in lamina excifiyfirmam eSi- 

vafaoU^ ^jticam^ authjferhiicam , tam^ inmateria fufiriacircumdaxerit, 

frofit 



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MagiaCatoptrorOui^ca. 42^ 

fr0Mfdeform4 farabolscA d^fuimm > efficies VAfavftorideBiftics^ ^ijj^' 
ferkoUc4^^U4ikntdHtMm ttd vmmfunSmn fer vn4U^lineam , fjr fer. 
vnatncelir^ndmjedetiamadduo funQa^fitfduaslineMi^ duoicoronds 
vrentu fi^asvideafud Rettinum ioiofroximecit: qudsideo hkn^m 
affon0t4fMUffiUinfraxi^mfaill4nuUuhj^roduc 

COROLL ARIUM.^ . 




4?4 



* PartUI. Lib. yili. 




Tucanflc 

fcieodi it 
'fideriom 
inkommi' 



DE MAGIA GATO- 

PTRO- G IC A, ET C A- 

TOPTRO^G&APHICA 

Sive 

DeModo arcanp per fpequlaab- 

fentibus loquendi , & fcri- 

PROOE.MI.UM. 

tbfinafiius Krr«kfc*i^i» lE^^^wz^;^^7/>'^ 

frofriafrnt,mfroyofanedHfifj t^'pror/iu gygattteo , perm' 
omnibus modts fiudeat. iJacautem jfrxcipue fint ,fatiirt 
xognofiere, ^ finfamentisfaa abfennhtuntantfefiar^. ^ 
rum ^vtnmquervtihumaniingenijMmttes primafrontelon^ 
fi}^teiiere oHdctitriitsditfifrMtanamaxma frmdpemneni^' 

meritt 




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MagU Catoptro^Graphica. 42f 

WKriti locumfirtitur. Hincta/tt9 in freti^mtrtalium flmimi 
^^(4off4t , y Stfganologiie peritiam uuUo non tempore habue- 
runtiquarum iUa jtttura pr^ekicereiquamvis yane,credttHr^ hac 
4»,bfintihusfe ciuafi coram pfiere^ occultos animtfihfits Unge difi 
fittsaperire,cmfiUaficretacommunicare , vereacfine fraude,, 
nefittur. Seddehuius Artis fraftantia fitfiiis agemfts tn Ma- > 
gta Cryptologtca ac Cryptographica. .^nterim lege Prooemium 
*Toly^aphta Trithemtana , ^ alios ^ut de hac arte agunt. • 
^Mqiudem arte cim fummeexceUaPaoQt^mut P,Athana-KirtkH-M 
fitu Ktrcherut , 'varitt locit de iUa cum fummo plaufit jam egity*!^^ 
<c/t in Arte Magnetica , tn Arte Lucit l^ml^ra, ^ tn Arte-^''*- 
Confii^i»' Dtffont , agetque fufiffime in Arte Comhiuatoria^ 
qnam MundoSuhterraneo ahfiluto at^tcahitur^DEVS <t/i- 
tatn lar^etur. DiuUihi tamen fithtthiis Artificium Stegano^ 
ff-aphicitm firiptis puhltcts prodtdtjfi mthi -videtWi quam ctfa- 
toloco Artit Magna Lucts ((s* f^mbra , Tfhi novam producit cmt^tn- 
Crjftologiam Catpptricam , perquam Catoptricaarte, 
^eculorumauxtUoyduo Amtci dfitnyicemUn^difiittapoJfuatrimuu 
fihimutuo occulte firihere^cfioquiti^ ahditos animi conceptutj 
itc fi prafinteffirene, mantfefiareiimo fitpfis no^d quadam Ca- 
toptricdrepUcatione fihtmutuo ob oculos poneresmuitaqueaUa 
prafiare haSienuesnaudita , prorfiu, 'Vtprimd fionte appa- 
ret-, viivmi»fiu tmpophiUa. ^odquidemlnyentumetfijam 
anteu etiam , ten^ore Pauli V. Tifht, Max. tefie Daniele 
Schvvcntcro in Ddidis Mathcihatids ?arte 6. quaft. if. 
jfotumaUqudtenutfueriti ^ eiufdemmentionem factatfoan. 
Bajft.PortaJth.iy.Magia Hatural. cap.i.in fine]tamen P. Kir- 

HHH therm 



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4iS ftiititr. Lik VtlL 

0^multinuncexKtrchertfraJlc^^^ 

intras^exhibendMy,maximtycHmfl4ufu^^y 

rationei qmsinterLcminijEicce^e^^^ MathematuHi: P. 

Andreas Tacquet e Societatrnofiraexhtbuittotummtx 

China^ in "Belgium^Jque ^'.Martini Martmif ^ n^ttf^im 

Kommmihii narratvit jr^te^rga ipJe^^Rom^muita^fimtliacitim 

MiHtfrM' arttficiofrajiiti.. Tn1(tentumergoprorJu^atimirabi^^^ 

jtMnt$0:. ff^j^atejiegumjumntorumq^ 

n/tt diceb*ni^ eo^nontantiUn occultar ammtconcepuryfdff 
intefra^Bftfioiaitranmtttefe^y bocefiy muris^candid&Mipt 
0^fiurati^ mJcriHercy nofiraiqtic eJligte^ymbrafd^^ 
qMasyts intagines Jttmmd Jactlttate tn maximatetiamdl^i^ 
taasy j[ub ftt4S ^iu^gygantea^^ frocerttateJtfiere^^Jfmttup^ 
mWp, AtCjuehxtfH Artem appetiamtts; htcMz^iimC^xo^vt^ 
lbgica<ll,.'& Catbptix>.graphkam 
ambagtbftrrem ipfitm ag^edtamur y nererbistantumLe^ 
rem 

De nova (atoptro^gra^hia Kircheriana: 
Ciff>«MiM09 lCircherianafTr, de qua hoc Syntagmi' 
m^€h!niT teagcmos,Catoptro quia licer,urdixtinQs, actt 

aonos qu4m plurc» apu#^ios etiaro eius cogfuno & u/tisfiicntr 
iu tamenauaa atque perfbda fuit a P. Kirchero^^ xit npM plaoi* 
£Lipiittspropriavideriqueac; UcautemdiftiD<5busproce- 
damus, remtotam id fequeniia capitadi- 
Yidemus.. 



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MagiaCatoptro-Cjraphica, 427 

CAPUT PRIMUM. 

DeT^equifitisadQttoptro^gra^^^ Kir^ 
cherianam. 

AD Catoptro graphiamquatn hlc docemijs cx Kirchero, tria KBijnifit/k 
pr^ccipu^rcquiruntur; Speculum, Vitrummefopticum, 
luftentaculnm. Qua;qualtaefledcbeant,jam cxplico» 

Pnw^igiturrcquiriturfpcciilum. Quod quidcmnon ^ch^fiifiimMct^ 
«{rcvitrcumfcuayftallinum, necchalytcum, fcd exmctallica^'"* 
TOtflcira^cqualib.i6.Pant.Prael«(.j.cgimus,coDflatum.Vitrcum^^^^ 
lcucryftallinumcflcnondebct^ob profunditatem vitri fcu cry ftrgUgiMm 
{tdli > qua fit utradij intraipfam vitriprofunditatcmfcucrafli- ^^'^^J^ 
ticmdiaphanamrefradi, in murumccdeantduplicati , utdixi-wlw 
inuslo.cit.Praflufz.Propoflt.8.& codcm lib.i5. Par.i.Cap.i. Pro- 
pofit 9.& lib.y.Svntaem,!. Cap.i. Quac rcs non folumindecoros 
rcdditcharaclcres^fed maximam quoquccorundem caufatcon*^ 
fufioncm. Chalybcumquoquccflenonpoteft,c6qu6dhumi- ^ ^ 
ditatis omnisfitimpatiens, &atramcnti rodctisfuccoinfeAuni, 
£rdatumquc, faald rubiginem contrahit>cum tamcn in ipfbfpo- 
culo , utpotc totius Catoptro-logica: opcrationis bafi & funda- 
tncnto, animinoftrifcnfusinfcribcredcbeamus. Si tamcnnon 
atramcnto, fcd aliocolorechalybcmnon rodentc fcribcrevcl- 
lcsin fpccuIo,chalybcum adhiberepptcris i non tamen vitreum, 
ob caufam didam. £t quamvis fpccula concava huic ncgotio 
maxime infcrvircpoflint (prasfcrtim fi fint iuxta fcdioncm 
graduum circuli eiaborata, quia fimulacra rcrum maxim^ au- 
gcnt, &clariflim^rcprjefentant, atque in maiorcnrquoquc di* 

Itatitiamrerumimagincs&umbrasproiiciunti^aliasqucprorfus' 
prodigiofas opcrationcs in ncgotio catoptrico habcnc, utidixi- 
musmMagtaCatoptro caufticalib.7.infincSyntagmatisI.)ta- - 
sttcn cum nd omncshuiufmodi fpccuIahabcant,ncc£acil^com- 

£ararc pofllnt,planis uti potcrimus,utpotc magis parabilibus.Et 
iiiusmodicftilittd|<]uo P.Kirchcri|s& cgoRomasutcbamur. 

HHH * ^ SccH»^ 



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4^8 Partis I. Libcr VI II 

r$fr$m Sec/ufdhTeqwiritnf vhram mefopticura » figuras vel lentfeii. 

m$jcft$cMm laris,vcl hypcrboHcx convexa?,(edionis valdc obtufse,dia(ncuo 
pMi^Mm ^cmipalmariclfciter. BcatusilIc^ioquitjR:/yrA^r«/,quiadhypcr- 
9Vfirf)^jyf»bolicumvitrum, adnormam humoriscryftallmioculoruind;^ 
• # boratum^ pcrtigcrit : cffcflum caim dccuplura Icntis ordimni 
^*^' vidcbit,& mirabitur. HypcfboJein maxiipcreraoturalpatium, 
lens in brcviorcm diftantiam>eflFedum fuum habebit, Qtiamo 
autcm diftantfa maior Iuerit,tant6 hyperbolcmaior nt^oportec. 
Ad experimcntum tamen artis fumendum, & ad efFedumDoa 
contcmncndum prasdauidum , fufficictlenticulare vitruroobca- 
(ioris con vexitatts. £t talinos utimur,uti6£ P. Kirckcrus. * 
9mpntM^ T#r/i^cquiritutSu(lentaculum;quodita faAum fitopiHtet 
G^f^ Fiat lignumoblon^im c i>, quod in roedlo habeat fiffurara cif, 
^ Ugismre^ intraquam vitrum acumpcdefuo m currere huc atqxieloc 
pofiit. Vitruni^dicSum, uti&fpccuJum ae, itafeiispcdibustc 
221^1^ vertebris e & f inftruda fint» ut in onincn>partem.acfiOT 
Vide Fig. vcrfatdi iBduAtia pro^utcntisarbitrio firniari poflint. Pes autco 
»Ica^iL fuftincns Mactiinam crii k, breviu£cuhis.utfi:ncfharunifal« 
xxu. ^cilius imponi pofilr cum tota Mbchina; 

His tribus pro^paratis, habes Itiflrumcntum adbmaem Ca- 
toptro graphiam . feu fcriptioncmac reprarfentationemOta^ 
ptricam perficiendam aptiffimum^ JSstandum tamcnrjioii efi^ j 
' omnino necei^rium Suftentaculum , neque ut fpccukm & vi- i 

trufflvcrtebrisinflruantur^itdpofFunralitcrdirponi,aGfoUmafij 
au dirigi^atqucin^bitum^fitumvcrti, proutcgo £iccreroleot 

CA P U T It. 

z,mr4^t^0- Tfe Idtterarum infcrtptionein J^eculo pro CatB- 

iPvUidquid Catoptrira artc in longinquum efi proiicitndum 
J!dt ''^&radiis^fpcculorefltxkti-ansmittcndum, inf^nbidebei 
Yide Fi^. fpcculo frmplici atramcnto,aliov^ dblcbili colorc. Littenmro 
Bi.lcoo£ ^Scalix qua^unqticfiguros fpeculo infcripubilcO 



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Afagta Catoptro^Oraphica. , 42^ 

&tbereinlpeci;rioredum ac oaturalem fitum & ordinem Jedio- 
redwan, iu otiuperioraiian t inferiora>& dextra fiant dniftra » eo 
kibcct modo > quoin appofitoCatoptrico Alphabeto rcripca& 
fuotrjuxuiuiocenimordinemacfltumfpeculoinfcriptas^re&^ . 
ordiMac fiiuio diflantem parietem proiedas legentur. 

:VQud^fif3»pracdido AlpiiabetoCatoptriconon (atispercr. 
iMdineac fituinfcribeda fint (ingula verba ^accipehanc 
^ cribeincbartapellucifla litteras ordineac Gtix natura^ 
Mrio» 8c vertechactam iu>ut (uperiorafiantinferiora» 
^^iart^ inlpice licteras transparentestquem eniro Citwn 
^iii charca ita in verfa,& k tergo infpedia habem > eun- 
'tdebent ia (pecub.Eadem ratione inicribesaliarun^ 
' habeta>&caliasresquas€un^eu. 
^ Aiphabeti non/peculo iofcribere > fedex crafla 
\ (peculoadgkjcin^cemavis, eodemprorfusfituai:; 
^dixi«eas ad^utioare debes. 

C A P U T III. 

^fone [itrerarum per Catoptrographiam 

mtoamitfiMfem. 

eflinlonginq^nmicatoptrlcaartCjdequaagi-^^*^''^ * 
^^rietes Foci obfcuri,auc umbroH. lalumiae cnimj*^-^ 
fesikisradiusrcfle^us Eicilevidetur, itanec 4fpe-^r<»i/V#ivif. 
,l^lim eidcminfcripurunvfpcciesapparent, maio-^^''' 
^^rliente lumen. Quantoautem locus , inquem pro-j2i,* 
ttteerarum aliarumquererum imagines.,.vel potius 
* " urior,unto cxqui(itiiis>miQutiusqueumbras 

fiht Amicocondi<5tahora communicanda, ^^^j ^^S^ 
vcrfaa: GaVt£ age. rnCcribeilla fpcculoeo jj^j'^^^ 
H monffrar^ If3fcriptisIitteris,convertefpe-CiMi»^mvii« 
Js obfcurum locum ab> ubi Amicus cft, {oXtf^^^^ 
%eculum,donccreflexi radijin ipfum obfcu> f^^^l^ 
UHB ruox 




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430 Partis 1 Lib. VilT. 

-rumlocunicadant;x]uo<ifacil^vidcbis,ii locusnonriimmnitli* 
Aabit. Si vcriircflexi radi)verfus oWcururhlQcumdircaiobdi. 
ilantiam vidcri non podcot , radiusTifualis iuxtaradios reflexos 
* jfnanu cxccptos dircdus ilatim dcmonftrabrt dircdiotiis cato* 
ptro-graphicaelincam. Dircdoliac induftria radio reflexo,in« 
itcrponator lcnticularc vitrum b intcr fpcculum , & tcrmiDum. 
ica ut rcflcxa lux totam vitrifupcrficicmopcriat.Qu«fado^rmi 

' -vitrum lnlocodiftanti«proportionato(qucmprim6rnveDtQra 
liabcrc oportct per obfcrvationcm ) aDproxtmando videlicet 

aut clongando vhrum i fpccub /donccfornwB rcrum 10 conda. 
vi qu^m diftindi/Em^ apparcant : faoc cnim pcrz&6 , intracoa. 
clavis parlctcs totus conccptus,vcllimul,vc1pcrpartcs,no&&)e 
.admirationc intucmium, (csquipcdalibtisJittcris proicdiM^ 
rebit,atquc adcototus parics littcratus confpidcttm Ta^n. 
tcm litrcra: comparcbunt maiorcs , quant6 fpathim fuemloQ. 
gius adquodtransmittuntur. Singula: ctiam littcrar, mfdotii» 
occulto Natura^ pi6lndsartifido,omni colorumgcneredepid; 
^idcntur in parictc > qu« rcs ntiix}folcns eft 9 ita dici vixpotd; 

Vide 1^ig.quantamialpc(9:atonbusadmirattoncmlufcit Infpice^. 

iiiJco- iitampaul6anteFiguram,inquafaa<flciwsdi^adareobociib 

mUxxii. ponuntur. 

ANNOTATIO. 

CMtoptricM Qjfilf*^J}^*^i^^ planumtidhibeturfinevUritmefif^tko-yrti^finJk' 
froioai^fi- ^ ceditytjuUradifaJpecuhrefiexidiJppanturj dr fcredijpareti^ym' 
u^iculo ^f^^ defiiuatum locum pervertiartt. Fer vitrum autem me^fhcnih \ 
^^ofn^n fofitum inter Jpeculum dr locum defiinatum , colliguntur ^ofitraifpm i 
fotift infii^^itruminconumj&figuranturinaliumconumjcontrapofitum .titP^ 
tui, eurkaffaret. Ethaceficaufa,curlit4tn^dfufradi6lomodoinverjt \ 

SoUjpeculo infiribidcbeant^eculo.SicontavumJpeculumadlnbe- 
^^^'^"^^ iur.nuUoopiisefivitrome- 1 

''^ ' - ^ . fofticac I 

CA- 



W&gia Catoptro- GrapBica!. 4j? 

.CAPVT IV, 

£U ^oje^ime sUartm^ Jigurarfm qualiHmem 
per Gatoftrographiam. 

SCribittir in Libro de Magia> Kirclxera tefte, Saromonem R e^ SMUmonfii^ 
gem (upieutilfimam >a<i terrorem Majeilati^ (U« fiibditis in- iffi^nf c/t^e^ 
euciendum , in multis locis ,etiam k fe diftantibus^, figuram ^^^^ll'^/cti!' 
umbramluam repra^fentade. Hoc pleriqjue tanquam Rabbino^ 
rum figmcntum interpretantur,eum id nifi necromanticaarte"'^'/*'^^'- 
ficcipoiFcnonputent Nosvero fimijiaifapientillimamorta- 
butQbcacopcricaarte naturaliter fieri potuifTeyliof lococumKic* 
cfierooftcnjfemus. , . . . 

Etprimo certunTeft, nulfani cflcfiguram,autimaglncm,c;i/^mvr 
quae^nondictarationetranCmittipoffit^ , Tci|>fumigiturAmico>#'^/»- 
reprasfentaturus^primoeflfigiciii tuam dfepiogas in P^3s(arofpc-^'^^^J|^*' 
culb,fitu invcrfo^juxtadida cap.i. Sufiicitaucem , foliim^xtcc- "'^*' 
mavurcus & corporlsJiineamenea ( vulgcj^prbfiluro vocSi^)dcIr- 
nearc.' Hbcfadoidii(poneff>ecuIumad'SyIc^ 
&09^ CGCc radius rcflexus in oblcuro loco umbram fivceffigl. - 
giem tuam pcrfisd:^dbmonftrabit *> eftc«iiin cadem ntio chara* 
(^aiim>& imaginunFr,aliarumquequarifmvi$ reramipeculo in^ 
fiuripcibtltum; Sed experientia temeliti)docebii& 
. HaGarte^inquitKircheim»tniilte4itbii^^ 
cjuarcommuni multorum fententi4 pro operationibusdiabolt^ sscecnfi^^, 
eifhabitafunt. CertiRogerius Baccondbmumbramluamin^^ 
abfcurolocrdifiitis^amicis' agnofcendam prasbcrct*, ptRiriA^ hihmff$ 
mum ab aliis^pro Necmroanta habebatur^» ctoivmienyfrPhi-^^^^^^r 
Ibfcgphus^unaia pndhirepotueritdiaa Gatoptiic4artejffinoaL^J^'*^ 
l«lfiifpeiJl« artlSTcftigioi 

in hac verppraxi hoc tnterca^teratnaxim^ par;idbxiinrvi- CMntttHm^ 
ili5tur;qu6d non tantum umbrae transmittantury&in muris ^i^^ll^^^ 
ilaDiibtas repnefentcntur/edimagincsctiam^omni g0i)fre€olo<^ ^dJ^JH^*^ 
jumiaduffibteotiii^A^^^i' (Im^nc^dum^liifiidiios fm imdifir 

gerieiw 



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452 Paitit l Liber VUl 

peHeotia certiores reddidiffetiinquit Xlrcherus Si enimift(M- 
culo Do(lrofneullic0imaginem eo colorum ^nere^qqospelhi- 
ftres vocamus , depioxens > non untiiim um bra rei , fed & colo^ 
rum quoque umbrx m parietibtis comparebuet. Videas bic 
facies bominum naturali colore nitentes, veftimenta minc ru- 
bro,nunc flavo rutilare coiore ruuoc ex flavo in album>exrubro 
in puniceum,aureumq ue vergere»ex hoc i n viridem'»ex viridi<le< 
niquein ca:ruleum> admirabili quadam varietate^ termtoari. 
Cognofces hfcqtiaslibet hominum effigies.pro archetypi^ondt. 
tionenaturaliter exhibitas. Quas res tam admi^andumfpeda- 
culum haud infireqiienter pnebuit,at^am apud iUos, qui cxte- 
roquin acutorum Philofopfaorum npnien Habebant , Audoreoi 
irircherum in necromanticasartis fu^cionemnon femel dedi* 
xerit. . , • , 

C A P U T V. 

Dc Scmca fm hijiorka reffrdfentatione rerum \tt 
Qato^tragrafhiam. 

EX praccedentibus (atts, ni fallor,patuit»qua rationehofni- 
mimianimaltumqiieiimulacra catoptridi artein^diftaouam 
detcrmmatam projici pofljnc Reftat i^itur , ut quomodo lis 
motus induci queat » tradMnus \ quod ea»qua: fequttitr , ratio* 
ne fiet. 

t^otm f «^- Eificiaotur ex charta naturales rerum exhibendarum effigi* 
"TwJifs ^ ftcundiim extimam tantum fuperficiem , quam vulg6 /fi# 
M^^mri vocant,d^§Batir. Siotpedes^&brachiavercebrJsmobiiiaiita 
frfHmt. utproarttficisarhitriofilisoccultis nuncdiduci,nunc coojai^ 
modddevari,mod6demitti,& in quemcunque denique ficoiv 
fi^t y^nt. Quibus iaruperficiefpeculiadgliidnatis,opcrare 
nt prias, teflexum lumea una cum imaeinum mbris in Jocofli 
obfcunmi projicicndo \ £t ecce , faorridum vifu , umbra^ qnein* 
iamuf o inotum»iioa fioe intu«ntium trepidattonetexiiib^ 

bont 



fer C0t0' 

fhism. 



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MagUCatoptro-Graphica. 4jj 

bunt. StTer6 mufcas Yiras.exbjbere <)efideres,Kmbiis $>ecali ji^yj^-j: 
melle illttiatur , (c eoce,'mufcafam p«r Ittpe^ciem rpecuii <jua- -vmist^* 
quaYerrusgradleiitiamumbrjtiomunimproje^TiTasibidem,^^**'^^ 
tedlofignis magoitudinis mufcas repraefeatabuot. Hoc idem^****' 
arcifidiim per magnetemexhiberipotent: oammuTcaCfTelalta; 
qoa^ris res acu ferrea ti^rudx duoam magoetis, expofto-iori 
parte(pecaliapplicati,qu6cuaque artifex rolaerit, Mqacmur. «"^ 
Cert^ li« repraneoationes adeoarcancfuoc,ut«i6modai«K. 

prelUdeclarecarQ>edancibas>Tixqttismj^{4i!d^liiipicioacai ' 
era^ere poflic. 

CAPUT VI 

ATte, 

T^Epiogatai» Horologiam rctatbericam iiifpeealoeapnidiii,,,,,^ 
'-^qu&lupricap.i.fieri doouiious, aempefitu&onliiiejnver-«M^S!^ 
fis,iNo4 ^um nameris horarum. Oeiade id projiciatar per t>.i 'M i» A » w. 
diumreflesaimiaoblcurfisalicuiuscoodarisparietesi&perfe-'*' 
^um horologfum in momeato delieeatttm irtdebitor. Hoiak 
aucemtumooftrabuotur. Exalio qoopiam horok^ pnecia& 
liotalciatur,& fiipra lioeam horasioveotcapfdiceturinipecalo 
txkulca, aut lacerta diartacea, vel aliod quippiam^iiomooisTl- 
«emgereosexcharutenuiefiigiatumj&umbraaoimalisfopto^ 
■ye&o horolo^oK^eodetquanttamhOTamyqu^cuoqtteTertcttt 
borcloghuiODram. 

Innumera alia ingeaiorusLeSorhacaovacatopcricaarte t^„Mfi(M 
«xhibere poterit,quaB oraoem humanam fiicultatem iiiperare^M*»»* 
-rideniar. £ftenim,inquit Kircherus^haxTera&propriididaf^^^^ 
Magia Katuralis Paraftatica,dequa fupriitoto Libro^. ouilho. 
2noveriexhiberepotefturomiraacprodigiofii,atTixabiiunu« 
aia indulhia eafieri pofie exiffimeotur. 

111 CAPUT 



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4}| PaitJiI. Lft. Vllt 

C A FU T vir. 

MJiantia ad quam res Catoptrtea arte ^roijci 
pojfmt. 

^^gj^^ fomne projici pofliatCacoptricaarte ? RefpoQdco 

y#x <umP\KirtheroKi:unluxmukiplexflc^d(ipIiceat}uoquedi 
fufiouis fux (phasram reflexam obtinerc. Solis radii omniuiii 
maxtm^remot^formasireflexasdifRindunt; mfousremotecao* 
delas^uttexperientia docet. Qiia experieotia didfcit Kircherm^ 
fyeculpro (jemipalmare formas retum ad joo.p 
ut in c^e^rp K^o proje^ teger^^ potuerint diftindifflincciN 
cumfbintes : ^GoHegiaenfmntfffroRomanoadOomum usque 
Profeflam noilram^uc vocamus,iiras transminc cum perfe<5lfooe 
^ * ^^fMtiAidkK ^Erat^autemv uc dtxi, fpecuhim plaoum ex miftmr 
* . • ijfiMiilarf femipalmaTij; laticudims , longitudinis paulo maiorisf 
MntitoIaMTer6Ticvumrotui)duin diametro coiailabtt um» 
' i^ertia^almi. IXtrumque aflervac adhuc Eircherus in (uq 
. Poficoautem proportionalt^ tum fpeculi> tunvvitri leoMcu» 
hi^incpefiiento>remoti^ projicientur rerum-fpecies reflexa-^ 
r4n^/#. totamdfemdriiis>qpam6:utrumquefu ma)us*. lu ijiitnMn-; 
zUfrAfism' que , Yitrum. inouam & fpeculum , fiierit odo palmoram »4>utat 
^ J^rcbeKus,iUa addiflaatiam duodecies miUenorum pedumpro- 
leAura febflbiliur rerum ^ecies^uecdehacreuUa racioaedii^ 
bitandufn efle. Quod fi verum eft^diviniflimum efle necefleeft 
. . ' ioventum hoc catopcrieum; Quid enim mf>abilius,qu4m ad- 
tres leucas^eculo cum altero loqui i flguras quaslibet » atqc» 
adeo integvas Epiftolaslegcndascoram exhibere? EatjUneD icar 
fefaabere>isnovit/cui5eh in tcrris,aQteqtiamha?cfcriberet, fe» 
ccetom revelavitJrircherus. ' 
€Mfpptr$i9^ Duo tamen incommodAin hacarteioterveniune. Primumc 
«ft>qpodfpeclesrerum Bf9ic<aacinJocumo5fcurumyaldeciiflK 



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Ma^iaCato^tro.^Grajp(ika. 

tnniijoinimeofum crefcao^ka ot ona litteraiuccefliv^ in turris 
inaeoitudinem, fi Iocosiioiident,cre(cere vilJeatur. Ex quo 
6t, figuras fcu umbrasin femutu6 incurrentes >fefe conFiindcf^e. 
Alterume(l,qu6dqt6ren[>otrCisferdntur reruni ^pecies^t^nc^ . 
debilios appareaot, ita ut qiit cancla vetotu m obfcurum Cit, oihil 
paroe coinpareat. Si igitur quis io venerh: modum ^quofiggrj^ 
rerum m maxima diftamia io minorcm proportl ooem i^edi^^^ / ' ' 
dar^queexhfbeat^arcatftraiinvenerrc^oglbriaripoffit.rnquit . 
rircherusjquitumotioytumexpenfis iohuiusniodiexperimeti^ ' 
tisfacieodis de(linitus,haQcrem depr^heodei^enooTahjit. N«- 
root»oendubicet, (objungittdem^id rntermfedioramconcavb« 
rumfpecoIoramdifpofitioDcfieripofle. ^ • • i 

SYNTAGM A II. 

Qito^lrografhta lOrcberiank^^F.Jumn , *. 

DEtcda fiova CatoptrographiS i P. A tliananoirirchero, jpiieir 
folarislumln's reflexani projc(aionem,fubit6 animum ipfius^*^^^^ 
m^ensfubiicdefiderium inyeniendi modum aliquem.quo id no Kirchirid^ 
Si^adlumen lucernae aut candctefieripollct. Cumautcmcx-^^^S*? 
penedHi' A^tfetV (peculum plaDVtifribddnM^ ^«^im^&gei^^T!^^ 
pbiarminime aptumeflc, nihil non attencayit>quooptato tan- 
dem /uccc^Tu potirecur. Nec fruftrarhtodosenimquosdani 
c^i(9|^lu£rf|rumco|^bioauQne4etexit,qv 
Janliais ful>ii«Iio iieri po(Ic deprehedderacloliilscaiidelai behefi • 
cioexhiberi poflHtt; itj| qbi^em ,ut fitnolikcr^.reruin io cxtrinfe- 
<a^ilepo(liarumruf erfici.es projicino^incearationc^tncc^^ 

ullifeoeftrarum apertione , fed intra cubiculura cooflkoli • » 
«oi9f|iocl^iPS umbris io fcoeftras charta ceas( R oma: iis u tu n tu r) \, ^ 

pr;pcs4ci^ilwwiw/cc|r^^ 

girc hcr< fc i lM c mcius v9fbJs> , A . . •, ; . ..^^.^ 

III « VKk" 



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' jPifr lumetf^^andeU Catoptrograpl^am peragere ope 

jpecuU comavk 

CM9ptr0^ X^l^t iptut prtmo ipeculum concavutn quantum fferi potcfl 
Yu^ncl^ o^^u^^fcdioDisjqiialeLibro praececLSyntagm.i,in finc i;^ Ar^ 
dd^opT^icMaCatopira^^ euefegmectfumi§.gradmii]»< ' 

€tdi ccnca^ culi. Vel fi iaclulirtiisardfex Rierir.Ha t id forma parabolidC ^ 
atdeinde vitrum lenticulare hyperboliforme, fpeculo conca?a 
" proportionatum» Ha:c hte pra^parata, exponantur candela^ 
ita^eiiidela inter fpecutum 6c vi trum ponatur,ea 
nec videris caiadelam illummare totam concavmn Ipeculi/a- 
perficiem. I;^oc kabito, (miulacra rerum medk> Ipeculi iofcci- 
pta»acrei£exa)i^f^excipiesvqu^ in mcrno^umbrofatan^iit,m 
pri&sinSoliMWttmlpecies exhibebun t. Eh autem faarciiniiib 
crorumieu umbrarumiuobfcurif cubiculis reprarfcntatfo mul- 
t^i^fpkm toformidabiltor ea repracfentatione, qua: ad Splem Haca;- 
ppkBhn$^ tef|XV(^£b(Knadiaboli ^ecnloinfcrrpta, 6c in obfcurimi toctm 
4F*^^ trawmi^ , afcelerum perpetratione coerceri facii^pbllbit 
'^Sed Eiatccmmiacuric^Lie^orisi^^^ 
^imus; » .0 

r:^h7n- PRAGM ATI A H 

trografhiam exercere^erlumencandeUofe 



if fr: 



/^Uoniam ver6 3aoo omties fauiusmodi fpcculorum appai 

iummope iflgenio. Ac€ipiaturvitreafph«ra,*qua0tamaior,«nt6prepa- 
j/^jrAT». flt0 cxeimeiidopaptior. loliurusconvexaruperficfc^ficura Ab* 
gbm^^ 0loqflinbuterit> conccpturopercompetidibfa verba infcrlbi 



Mi^gfaCatbpcro^Gcaplhicju 4^ 

Tatn vtcrcain 

aucimaginum» & deindc radtofampretcdionem, ut in pvxct^ 
dcDtibas fpecu{isfa^lom^iUci^tkuIa»vitw 
exccpcrisiiomaxima etiara di(untta,io ifltcriiirapanetQm Jitte- 
ras> nguras^ fpba^r^iorcnptas» cttmnuDunniifitueotiumad- 
mi rationc proiicics. Eftquc noccxpcrimcntumfhulca facilius^ 
& ccrcius t & 10 mjfiorcm diftantiam agit ^ (joikM^^ttlum con- 
cavum«r . 

Notatamen, bums tant&m vfiim eflepof&adcaDdcIan)^ ad 
kAtm vcr6 huilum v Aim habct» c6 QD^d radie&ptoie^ura roHs 
pcr lioc non in quemtibctlocumdcitkiatDm pcrttngpre poffit- . 

PRAGMATIA IIL 

Qftoftro^a^hiamfolovitrofir^ 

ddam exbibere^ . : ? 



Sk Ccipe vicramlcoQTextxm CeuIencfcutareexmiixmagoicudi^Cii/MrMo 
'^nis^auaie in praecedencibus reqnifiyimus jauc fi babert potei^ gr^^ p* 
vicrom nyperbolifbrme adbumoriscrvftallini in oculo bamano ^ 
somiam elaboracum. Huic vttcD j^dgiutlna f bara^eres exfub--'^ 



tili cIkatta«xcifbs,aUl2squequaicanque%icas»ie4 ocdtnea^ii» 
ttiinwfo,eoprociusinMOkquodi)umus^^uIoe^fnicrib<ai« 
d as,anc a<^lacioaiuias; AnwTicrumin certa gf; ^eterminata di- 
llancia, qoar-varta eftpro Ticrt Tarietate» j^folaexperienci^de- 
pf ebe&di|^ou3ft>apptica tBmeiK»ndets»auf;Iu(;qrnac^utra4ijper 
▼ftrum tfansnmtes iinptngant ii> ianmiim.ia^bicul(^^;^^ cpU' 
claTi quOco»(}ileobld»att»r,2Ucceinmus0a{>pi|i^ 
rom,ali ui um q tt e%aiarem iunbr«> nooiccn»ac{|nteauDpie 
cntfapparebanc lbiperientiamfecrRoadraKnP.Kirc^o^ 
licirfbcceiru. Simite(ioidiiflrf poteflfofi^tic^riiMQCifisei^jf^^^ 
cTa^>ScinTeirfis: St enimInnien<aodeIapaQteeA^|f9Qf|turyi^ii« 
brafttcenmifntomDramproiicftnrr lanjOBiera a}ia.dntlppi}ent 
«macarttfCatoptricabadraosexirfieauierlpoj^^ ; verumuc 
jibls qoog|iie ittyeniendarttm rerummataiHa» retinqMaoiusy^ 

^ 111} im 



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43« Partitl. Liber VUI, 

lum abrumpimas^tnemoresiHus Menabdri : « <r9^«r votJ ikly^if 

SYNTAGMA III. 

' \ DtTfeudo" Catoptfo^Apfna aUorum. 

iy^.Cii.C'0 ibfanias prxfbmpmofaquorandain audacia prpgreilaeft, 
tBftfogr^ ^ inquit P. A thanafiusXircherus in fua Crypcologia Catoptri. 
canora» cap.i.ot non conteoti vicinum in ipatiumlitteurum 
dharadleresy fotmasque Amicis legendas proponere » in ioa- 
grflimas etiammultomm milliarium diftantias , im6 ad ipfiim 
quoque Ltinarem difcum eas transmitterc, Scaliisiofpiciendas 
atque legeodas exponere fe^olFe catoptricaarte promittam. 
Horum ^ur.c^Hn^oiiemhoc Syntagmate paulofufiiis CKaui/- 
nabimusA^ 

' GAPUt PRIMUM. 

, ; X)frum^ inLunari dtpo aliqtfid tegendum exhfken 

cmomr^' 'jl^Sicrit' hoc Ifannes Bdpufid^ Pprf^ libiiy- Magi« Natucvcap* 17. 
frMfQts ^ ubi cum vctbis obfcurifEmisi & ingcoti cum jaiflatiooi^ pro- 



jr^ifbitd ^ - uDi cum VCT01S ODicuruumiSi oc ingcoci cum {aaaciooi^ pro- 
P^'^i0et'4rtifititimeotilid«^ combu- 
Mfiriki rensad diftantiam infiiiitam,utvidimus Ubroprf ced«5yota£ai. 
t4^. ^i.l:ap.$.$xftibiungithae€ >H&€4mmm&dMimsdv0Mm^ 

kitidifid Luns mfiilikmd^. ' -^acimqimemm h$c^€cnU fxsrs^^ 
^hm^vtdiximits de fkm^fottrimm lcnpffim^ UtteMfmUierei C^^m 
'Iff if^nitum diximmjfdciik vfque ad Lunttm mUMnry frdc$f$ucmm&§ 
%mki^^ Philofophia^oc- 
tulcaanereredicitur ; Siliuctds fAtAhoUciiJ^CHUinfenf^ 
^ iemfftfefUmUmiflAmdiiC^ j^c^- 
%imfrt(fd^r€fkxd^^vhiuMlHiarumUgif0ter Itd^tbdgmrm 
mftt, dm/iplrMtUinMWttnr, Ut^crmMmtd infcriftac CinJldBtim- 

^ fiU 



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MagtaCatOfiftro-Graphka. 4jp 

pUAmkuUgenddddfdiJfii. Quae tamen vcrba in Agrippa inveni- 
re Doo porai> ild alia qjUaspaulo poft ceci^bo. AthAmfim Kitcht^ 
rwlib.iaLucis& Umbir2C,tn Crypcologiaiuanova^cap. i. a^ejrn^ 
edrtan^faifleQoa ita pridem Pbilofophiamquandamjneaque 
A udorem ciim dc variis pr^fligiis agat , ica inter caetera de ilfni-- 
libti$%ecuii^<lifcurrere. ^&aUudpMfii^mmwmAm. itmf$ 
fiqukmBe ferena pleM LMa radUs dtquxm tmaginem^ aut UtierM 
firifiaeaUiittOdrtificieopfofUt .eoilegere fqteritquijpia?nrei confcim^ 
idifnejiifuoUbef^iiiiofimttUcrkmaerem 

%macumLf$ndradi0Mdterrdmf^^is. ^mdetiaminaudttu fierifo- 
tefiyOdquemfpeciesrefieSlmtuf^vtin Echoptets adeo vtpoJJftaUcfrm 
Hiamrm$ii0mm audire i d- mteUtgere.quidalmfifurrct m occulto^ 
yndeeandudu > naturaiiter efifoffib^e » &fine fHferflitiene,nullo aUo 
fiiriiumediante j hominemhommiadquamcm^^bngifftrnnm^otifr, ', 
incofftitamdifiantiamhreviffimo temforenuntiatementu fudt conce- 
peum'y(^fiHludtemfttdnon fofpt fracise menfi$rari, idtamen intra 24^ 
korasfierinecejjeeft. Aicqueidem Audor, Cornclium Agrippam 
idEicerenofiet &ieciile. Qui^quis fi thic Au6or , omma fcre ad 
. vcrbumdcfumpfitexC^rw//^iJi^r/^/^liba.de^^^ 
cultacap.^ abilia:chabct. Efi&aUudfr&JiigiummirandMmmagUr 
vbipSHs certo artificio imaginlbns^ .firlftisvc htteris^quU no^e /erenai 
fUn^^Lun^radiis off(maty(\ntt\\igCjipccu\\xm)qua 
aere muUifUcatis furfutng^ raftis » & ima cum Usna radiss refiexis,aUns^ 
qniJjfiamreiconfiiudferUmgamdifiantUm vides yUgit ydragnofcit^ in 
ifjodifio fiu circuU Luna. ^udd equidem rmnciandorum ficretorum' 
obfiffisvilUsyeJf' civitatibus vtiUffimum artificium efit oUm a Pphagorts^ ' 
fik£iitatumj & hodie aUquibns aahuc 9 fariter & mihi non incognitum^, 
£c paul6 antd 141 eodem capite dixcrat ; i^tque hinc fofiibiU eJV 
mMturalittry &fr^culomnifHferfiitione9 nuUoaMoffitritumediante^. 
hominemhomifnad quamcufs^ Ungifsimametiatnvel inc4fgnitam di^ 
fiantiam & manfionem, brevifiimo temfore foffenufuiarementtsfu4L 
ccnceftum:,(i^fitemfusin qsso ifiudfitynonfopttfrdcisemenfurarifta^ 
menintrax^.h$rissid fieri omninonecefje efi: & ego idfacerenovi,&' 
fie£isss fecL Nowt idem^ etiam ^fecit^ quonJam {Jkbbas T fitbemius^. 

^ kUmL 



440 ^artisl. Liber VUl - 

Idem Agri ppa in cenfura Hve R.ecra^itiooe de M^ia* cap .4e 
Pf xltigiis hasc habec : Std&i$S^smmm fjthagwim id ridtcmUm 
siiaMffdifMmtsffe, vt^udffilUMJlet ffimnitKferlcriberetm 
quitdflenilimiriklMMinrbemplverfitftdtttiiLt^^^ 
M0LmMcemm0itftrageAe^mii, 

Credidic hocidemiieri pofleper Ipecnlum Dmtiel Schwe»- 
//rMloccicfuprainProaenioi oecahnnunr alijoonnnlli nimit 
^redub, 8c in cacopcricis parura verfacL 

cnuiudi' Hos Audores miris modis exagicac Kirchenisloco cicaiU» 
<^^£onfuucqueexeo,qu6dimpoflibile(Ic, tamexiguarumiicceca- 

fiS^'tvm figuras in cam immenfum fpadum proiedas repneieotari. 

hih. Sienim , ioquit, vfx ad 50. paflusfiguras litteraiunrperipeaila 
proijcere poflumus , quant6 mini^ ad (patium tam ma^oum • & 
procfus iroproportionatum f Egooon efficacii^ eos refutari poT- 
feceBfeo,qu^mprobaodo,LQoam(p6culumoooelIe ucet 
fpeculom roret, promiilttmefieaumproducerenonpolle. U- 
crumqucprobo. « ^ - .« 

tuMi $«b Luoam ASolemiituariluroea,cooftaos eftomoium Aftrooo- 
morumfeotentia , probaot^ueiacooftaotis fideris mei^niaia- 

^*^' cremeoaacdecremeou, ousdemque defedtooes frequeoce^ 
ieu totales, feupartiales, dum terrxinterpofictoneinterluoain 
&{olem,)umenamitcic,autextoto,autexparte. Atquopado 
folarelumen recipiat Luna,& a<j nos remtttat,aoneft ittexfdo- 
ratnm. Placuic nonnullisapod Pktarchmm Ofti/c. deficieLmiue^ 
tmhmum /;&.5.0/iririir.difput.unicaad Propofit.{tf.& BUmcmim 
ta fph«ra Par, 3. trad.i. cap.4. Lunam cfle fpeculum coovf xuro, 
iolisque lumeo ab ip(a canquam k convexa fpeculi fupetficlead 
f)os traosmitci , proindequeLunxlumei^elleim^nemfolis. 
Fuadanturineo,qu6dLuna exparteaverfallitopaca, utfpecala 
func,exparte aucemadverlalacvis & polita. Opacaeft,ioquiuD(, 
Luna ex parieaverfa,quiafoliobie^afurripitoobiseiuslumen 
in eclypfibus folaribus : la:vis eft&politaexparteadverra, taio 
percocumprcuicum, quiaiiafpera, &cavicatibusatq>eminen- 
ciisreferca,yacttumdaretorioijseavitatibus. - 

Ac 



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Mag^Catoptro«Cn|phka. 441 

AfcLaMflliioD fpcculinnconyexuin , in quo refulgeat zun» h» 
ladesrolis^prpbo boc unicoamiroenco.iquoclfpeculaconvexa *fiJ}"i^ 
««sexhibentimiko , quamr eiji^ift'"*» miaoTes, ut €xperientia,1J'""*' 
«•nftac» ^<^tiM»aos /upra libro^. Par.z.Syntagm.x.cap.z. 
Propriet. 1, actant5 cyam idolaattenuantur raagis^fjmptqra 
i|^«loaeii]sarpecuk>abfiIlunt. Quroefgount6intervalj^<^ 
Lunadiftet,uttqiie%BiMttst»JUinamexifteret. indeqaAl$til« 



iftet^uttqiie , 

tmaginem intuec^r in ea tanquam in fpcculo j fatis exigua ap 
pafer^iqHami^c^omagisnunccumnostaDta intercapedine i 
tenuBiLoiiaabfirotts,exiguusSoIin Luua^fc^v|Bf^tate^^P|^e- 

tedeberet? Taceofwncreceptiffimanipl^jlMM 

ooroosfc Pkilofie^faos, poft telefoopiuminventum , ^luQ4res/<v»./«<i 

«lacaiaseuisi^ ob(arvacas,fenteotiamde^eritate incqaa-'^^^^ 

litatelaaatis co^rkio exti^alupei^cie, utpoteinoQ^fa^^ 

TalUbttswafperata.^Ioaec^oisTiseftatqaepoUtaXii 

£de»adveda. 

Datotamen;8e oon<!onceMo, LunamfpecuIuiB dJecpnre- ^.«^ 
xoro t 6c catoptreg«^Ga«rtelftteras e6 vfqueproijcipoirev^yr^ 
tnanifrihim dft» ey €acoipcrica,.fx>oroaipres , fed roinoresTeddi*^.]jg^ 
4i^ne«a«nnimagiQ«s»«cpi:oiodeioecAoobistnteira«^^ 
fi}mrvl4er»acl^pciIe,««cfeflediadterraslubviin>Uiac1^^^ 
biUqoaoticiite. FabulaergAf^ PortaE;«Agripp«,&aIioTumfea. 
xeatialioceapiteTe1ata,8cCaKppterioesj?nndpi^^ 
Tla. v^«»w^fii»^JoqoliKirenerds,?w^iff*rf 
j0nmimmimmMMm09t4i Sf^jpiti^vfMf^l^bistippmHihmfi- 
JtmhAhtr»ihlht»Kmfifriilt^^ 

CAPVT 11. 

HftfiM9Ni»y )ib.4. deSubtilitub^ 



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UMTia ii^ \ culJftijHinquemillHfmpMjfiumi^ 

JlMfifi hi^l/ciMtMtei edito loc&J^e^uUmAd perfendicuhmfiufittitoris^ 
ffm^m^* g^u^^mma^miiimJu^endiiiLRud^ver vtiBimfuciesr^ 
'fficiAt(nonfrorJitsJ^ns \ mcfueMferprtSiutumfrwfib 
culum:ijuod fuferim co^tnpidimum^nfimter^kl^imifiecMU tu 
Utf^abiffpaMlaiim^acMiernatimmoM^ 

donecldeumfienecifn^iciasinJ^uUtutr: fune iBikltfixm^vetessi^^tUi, 
. vidibis qudeun^illucaguntur (Jr pMnt: Haec reftpons lanm ffercuin 
'd6 Sundem fbra Stegadologta^ & Steganogra pbtikauAai If b.^.cti 
germanico^idioma te, rubiun^rt; . Sijam Mmfigni/kareqmie^emt 
1 . - ^ ^Stt Afercurii^ f ccnvenire frimcum iff^foffetd^figniie 
tf^AinfhcuUvidereiidtJiuLmindementemcokgeredw 

Idcm Audronibidcmcap.4j ixnfittderieum ttAermtem Opci^ 
t»^'nYen^ttt(re(^ecuH outurdam, qaonodlbac^ 
ttnr legcbaturCortftantinopol^, qood«[5oifdiniiD AogHa (m^ 

gtum er jtt: Qiiod ego tamcn nulti bi m q^a tuor deO|ttieaJLifajii> 
JfoerHnvenirepotui; 
jif^tM . ComeUus jigriffaMh: i . Occulir Pliilordpb^iasBcap. i. ait: Sic 
n^^msatf, JfitntJf^cufa^baconcavsioiAtcoiunmaridyf^ 
tv^^flpi-gefe^renwtisextrafijpatii^ wdAti(cuiufik!odiijAfiMh 
nimiC^P^iteiffminJftalihris^ 

ynm » tMdgnuin ¥dmfeiunrJpculuiftlfuoddam interfiil^e»Orietm ' 
Hpmam attu^. in quo armutorumiMififieiehanturfxtreitttSi Se^mtt* 
Jfecula cfitudamtraUciddtquucerrisquiiuJdamherhar^ 
4rsiffCiaU^Uminefhiidiata\iotumxir^tM^ 
ttnfkntfnantafiniiilmiis^EinoviegofiL^^ weeifrwu^ 
in ifMitmiucenteSoU^mnia ijmtcun^ iBm^rudiiriMi^assutr^ ferwu^ 
motufUrium^miSiiuritfm^maevidentiJJi^ IdemAgrip 
pa Iib. I oip 4 aic^doile quoHdam colfyribrh pr2eparare,Qiio fi j 
rp>ci>liiiacha l^b€iim.iouf7g2|tuFyCumiC^^ tmaa^ 
getur,faciatin^ea videreinrvocfttos fpiritus. . 
rjkud4h Paul^ anti citatus JinurHerCDles eodem^rcap; libn ^ alti^ 
^ir^j *lcgfflfe?e4n tradatudr Magia Nifohaefai XH^iu^m^aiMiqtti^ qiB 
5£j^'^"ifattonctria 4jwuki>rjeparaii aiqi«edi(p5>Bi qocMt io^ibkis> 



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maStu io plenHtinio-vijlfri poffic quidqttid tii totoTenttheaifr- 
<fphfierio ftibdtoQoncii>grt .Addit^^veruiBrhoceftttmitMLeoaf» 
\po(re^minre&dem radooaad cantarodiftintiamifortpta^aotg^ 
^busaliisqutdpiamfignifiicartqueat. Trta p4HrratllaTpeoVla»as 
^eitMonaehi diditradttionef>rcptr^nevtFtbtts ^diMitbusci^ 
^icis^nempe EIlip(ivParabdar& HyperboJa. blJipMQumfpecil- 
rlttmcoo¥extfmdS:»& inlocaqttodam aktflimafiifpeiuliiur ita, 
I ut con veKiushortzontem a(piciat>& ciihiiomiQiisiloQiS^ 
aliqua &c partevlhiminetor. pAraboltcum coocavum colloea^ 
^tor direde infra etiipticumirufpepfum» utfe mtHu^ refpiciantftl- 
ipeifictebui fuis fpecularibus. Hyperbolicimi penitur iuictaia- 
iCUDdum,ucattoUtacdeprimf proltbitu poffit. His trtbMS-fpeOi* 
^fsficdtfpofitis ^dlc fqpradtdus Monadius., tkleri po(Fe qutd* 
<quidtin toco hemifphsrioagicur.Dtfficurcaterhtamen maximarft 
^fle itt loco dlo it>veniehdo , qu6tauis vtdere cupit. kiqueec 
Idappa Geographica difceodum^aa quami Mundi plaeam fitlo- 
vCtts^Et fiquidem verfus Meridtem fberitytertium fpecuium iuxta 
4ecundomad paptesDoreales^callocandcinMft ; ut^raw eiusfb' 
>mrficiesMeindiemrefptciatrtarodiuqbeeleTariac<kprimide> .! 
t>et,donecoptatu$tocustneoapparea€» Mpnk4hiisait/larpb9a- 
tra triduum aut quatrrduum non reperirtIocum« UhiMir 
't€fsri/^?(ubdit Janus ]^trcv\t%^Mfondjp9nunqmmfefmtur: Eodem 
*modb proctdendum,(i Ortum,Occa(um^Septentrianero'ver(as 
>htiise(tlocusausr(itus. » 

^Uhtmus hic modus ex MonaohitradatuMagtco silhmtSiT^^;;^/^^^^ 
<|>ror(a^ i^ptuseft contraomniaCatpptrioat prtncipid> tiYvb 
^videtur plan^ confidus ab aliquo > qui hiquidem^vidit vnc|uam * 
' ^pe^uU eK canids^ediaoiiraselaboratainecoavirveNevite^ 
'rumapeTationes, id%que tndigousomiiino^eftqui refutetur» 
4m6 6c qoiveferatur : referrettm^n volui j^a^^qois c»dftimet me ^ 
-4um filentio approbare. 

Specuiumf cuiusRifnerusmentianem facit, MagicumeftrS/fntife ^ 
«ot & tUa qu« Agrippa fabricari (e poiFe ait HuiusmodietiafHflMx^^ 
^it>fi«YCfa(ttatqu4^Hift«ndnotaot,fpeculamillu^ 

JTiTX a «masus 



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444 FtirtirL Uber Vttf. 

»»i^ex7f«rg0ieiiirPiiarot tumcooRswitffe dichor inip» 
^fttomtuniEeSf & qdN^tikl^tertt mari€|«e^ io cota i& 

cfpto^cMi^gmt;re^r^ Sitftmen^>eculumiUud 
«itiiiiiidn fpecdkiai fiMjWTd^efcopiisiiolbfs /aataU&radeoe 
Ib^inacmi. Memiadicicunfewsdei)s%ecd»^iQ€{mhjasa^(^ 
abledtc9yaaemurtuos >aat ffnritus maUgnos vf 
' ^ " Caidamispeccat noo. in mcxlo^ ^iecda dtfponeodi ^ b 
ndiftanbayChiiamp^ ^3tecoloplaoo»eciaiii 
-magqo^mioco cdkofuipeiifeyobiedaad qoioquepaffijaniinif. 
liadiftantlar ita apparere^ut indein ahudfpeculuminfradi^ofi* 
tnm refledat inHi^Qe& Si eicpenet^iam fcciQtif, nonquaaid 
aileraidBt. 

; : SYNTAQMA IV. 

Sf^eiOkm TJ A &efiu& de Catoptro^rapkia >. nuac de CatoptM^fe^a reoi 
mS!^^ ^oioiik^lofmeifei^^ Jioctft^de £chic>*Catoptnct 

fit:if^ ^ . S^pdklicL&.^^ai^Sm 3^ Peopofit. 17. retaftimis 

mt PiMklibjiT'- it^tagjte ^£attiratis cap^ 4».i^>eaiiiimcooca¥uaf 
^emetiamre£b&ero,€cEckiofficio£tingii IdemaflbniefiarM 
'fo^ft idiem. Avtelibi i^cap.ii. (i^ HelioftAMfinim ia Li(ftelfe<ie 
S^ecuib coocavovqjKi osfecuftt&eft P.Jo&pkus Btkm^^mm Cofo^ 
piimiebias £c&oreetnae>,cum qj^Pictf >. SpectibremE<&iimeAK 
^fih^^i^^ttSk^Uiif^ tenuisac {ubmi^>otineaatid£ft 

tuf yoxtantumrettexa^ nonautemprimana v neque fiierioifiic^ 
Btdbcx^ &ip«ctilumrattsmagnuffl,conca¥U^ terftim,viiiim- 
. qoeesittt&ii&qaariiftoriaappeUav 
cum^paraboiicomtjdfipticum: neqo|fraieefeataiMiiriaJbolk> 
fef»'^4/^'^ Maitfirqiiikm abuibo.auditore, & qOidem aufitttltastei QpM^ 
uiccedsmftr neceiDe tOt^ u^au.dieosaurenMtfieram pundoittia^ 
itafc. ponar» Jn-q;dem iiatc fpectilia reflexumluraenicongregant, (eiriii 
qtio<oiiibunint:ibiioru^ autem>.feah>qaeiis>quodbkilMBi^ 
wmaixikgsk^t^^ i^i^ectilie;di£mdiBbeik 



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M agia Catoptfo-Graphica. 44f 

Etpro (pecttloquidein fphatricohazcobrcrvandariinc. Pri* inpcui^ 
ap^^collocecur (peculamia loco facis obfeuro & nience^ica uc fa-^'^'^^ 
conca va iic ereda ad borizon cem. Secunda^nmint cande- ^ottu m 
keaccecfa^eregionefpeculiulcro cicr6qucdelac:E,invcnIaturlo-^^''^^^^^^ 
cus uiiianbradiorumreBexomJtaquo fic comhuilio ad Solem. Intsvl 
p€>rr6 ucbxc fumiAiscongregactoappareat, excicecur ancefpe-f^^^^ 
cuium pulvis,excufl:oaliquopamio>auc fiimuifiaccortibuftare''^'''^*^^ 
aliqua,& flacim apparcbir». Huic ergp foco audiens aurem al* 
UTamadbibereoporcec,arcera4fpecuIo aversa^ Melius fucce* 
cbc>fifbciusaurem alceriusapplicecilli pundo^n^aberretur.Ubi 
coofulcura fiieric> candclam non omnino divc&h concra fpecu- 
Uim eflc,(cdparum excraaxem,reu adUcus>uc reflexioaa alce- 
ramlacus^nooaucem ommnoconcra mcdiumfpcculi fiat:hac 
^imraf iooecaputaufcuIc^snFunusadvoibBapof^ erit 
MTipedimeocow T ertiit,\ocus loqiientis>vcl ionorijfic vel ubifue- 
fatcandeha.vellaltem incadem redicudincadfpeculumi iacque 
m eadiftancia,uc voxip{iusrubmi(lafpeculoincidens>acreflcxa». 
audfvi po£StabaufcuIcance: Qutbosadhibitis>Tdx camdth re- 
fttxapercipicun Cuius tatto ef{, quia £cut hoc ^peculum vifr^ 
gfn^ ac laehroris^in ilkidpun^umfrccoogree^t |umcn,A]t ibiiix-^ 
•eo^tur>&urar>ita vocem paricer a^illudiaem pundum cever-. 
beratx&unit^ uicxunione vox paul6^quim primariaeivadatfo-* 
Bantior, ac proptercaabaufcultante fccretd audiri poflit: voca- 
fass eokn lineae easifem com liiminofiis refEexiones foitiuntur> ut: 
* 4ilc^mu&tom&fe<|uentt agjintesdeEcho^ Arquchuiusexpe' 
tic^tia: teftis eft Ca:(arGaravagius> Virnonnvnu&ingjsnioiquaiiii 
madainduftrius>apud Blancanumtoccit;. 

Pi'ofpccuIoP;arabol4Coinveniri.debeteodemartiff^^ 
^liiiaulciilratiofm>& rociisatqiucdifbiittaromientis: &quo /4f4*«ftr#i. 
piaminparabollcofpe€utonr>ajgjsuniufituirra^^ uno 
punAoyqu^ io.cott»vorper£ed?iQir tedditur hic Echo» quim 
^j^carteris pacibus.; dummodo fonorumfcu vox prlmariaA Tpe- 
cuto icadifwt 9 ut lineat incidcntes» affiiml pof&nt ad fcnfum ^ro» 
fualliBlts^ 



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. a^iMf Partii t m VTO 

am^titU Pco fpeculo deniqule Elliptico,maioriqpuseftinduftr}a$eam 
.4Si(ti«0. (uecefs^1(ic>(onoruni ,.&c audiencem eiire in duobus determinatis 
Dundis,qux fupraappellavimustfocosdlipfis, ApblloDiosverii 
' PergxusScalii vocanc.puodaex.comparatiooe. (Jtrumqueer- 
go puhdum cft priiks inv«Qteiidum , & qoi applicanda eft aoK 
audiencis,alteri ver6 osloquentis. '£m aucemJia:c omoiam per- 
iediflima £cho , ci]m.prqpcef concurfum ad unicum paodun. 
jcum prQpcer.zqualicacemlinearum incidencium:&renexanim, 
.ucalibidicemus Tomofequenci. >4eliusautem resfticcedcMi 
ellipciaM:amera fabricecur»ucibidemdocebimus. 

Epilogkks todus Catopt ricx. 

^!^** »3 ^»' T/a/f f , leget apud nvarios AuSoreSf^uaram A* 
^Juntnommat^ Ubrimibinatiiatqueferl0i. Euclidcsw/i- 
/ff^mf4f,'AHiazen Ardhsy s3 Vitcllo Turingo-PoloHiuii 
Joahnes Pctzan Archiepifiofi.CantuarJttPerfeSt' 
^ f o«!>«ri*»/,Rogcriusfiaccon tn Trjjj^e^/v^, JoanncsBt 
:j^tX(hV.OTtM.i7.Magta Natur. Cacdanus'/*&. 4. Sithilit- 
Scaligcr Exercit.Bi, Da;niclSchwcntcrut,e:5r Gcor^i» 
Fhilippus Har ftorfFcrus /» Deltciu ^atbematicUiW' 
j5arita'Phib(bphica4/^.io c<i/).r5. Carolus&ovillus^sf'- 
toptrica Margarita dtSfa adjuf0a_, Oron tius Finaeus lii>.^ 
Speeulo^fjlorto., P.Chri(lophorusGrunbergcrus iibdloit 
j^ecitlo ijfiorio a/era ac primigenia fita firnue refitmto , 
Frandfcus ti(:^\\\on\\xsUb.j.Optic.adThropofit.f6^ (^iuin- 
^r^veroeius librtquos deCatoptrica firipfit^tnonextant)^^ 
tColausForcfl /» Flonlegio Par.i. Differtattone i. Thyjkt- 
3\d4uhsm4(*Vtiicmu& KjhcimiaMrisji^Oftices,f(moei 



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IPfiig^Catoptro-GrapHiqK '447* 

VtnxmPr^efiutMtOffttces apudBJfierum ^PMMtm^^ctti- 
nm Afiark^. P^tbananus.Kirchcrus in.Artig MagitaLu' 
cu VmbrM. lo. Parte 5; alibi-, Kepli^rus iu^CpticaJm , 
'^aralif mentiad yiteU<mem.i Simon Stevihus in- Opica-i 
Joannes BaptiQa 6enedi^ui,Jlenatus de Chartes in Ca^. 
tttfirica y Jjinus Hercuies de Sande tn Steganoff^aphiaM.^^. 
Mi)(Am'Col/9qm9stgJP.Bem3iTAutCxrmsdeMinerai.lib.y,' 
otfi^.iQi P. Joiephus Blancanus/» ColoffjMe Bchometriaj; 
BetrusHerigQnius tom.f.Curfiti. ^athemattci, Weckerusr" 
tnSecretu^ Hciniinus in SjnofJrMdtbematica , Mkrinuff 
Aferfennus ineademSj^pfi, i^iti.GenefityGzC^^rEni iw 
T^Jjfanfmaturgp Matbemat, Joannes EeurecKon tn Kecrea^ 
eiontbMMathematictirOaSrco ^m4tnejcriptu , JbanflcsAd^ 
tonius Maginus in. Ltbelh de Phanomenu (ptcHU conctevi' 
^hanct.Jt2Uico'f^mone firtptOyhnonfmm iSocietatefE s 
itfPerffjefftva PraSlicaidtomate ^allico Pdrte j. fecunda edt^- 
t^^HuTtartfienfisi^nonymm^xm eSoctetateJtsvin Tbeoa- 
nmatibtu^ de OeuU Vilna imprejfit^ ^anuerMlirgnan itt 
Herjj/eiiiva Hararia, His adJe Raphaelem Miramum 
Ifi^eClatopfrica opitdCaJtiim^HeSibTcmhuicsnmm irn 
TJjemcade^adoconcarvoapudMagifium:- 

n>e^^euk etymo\uaina diyiJtone,origine is^in^^ntionti^ 
•vfilieito^Cr ayuf^,acgmbolis^lefe Cx{\}Xmldc.cir.Di^ecu^- 
liKjeometricoad menfurandum , inMd^Geomemcatom^^i: 
s^muti. Gejpeculo medente in Mdgta ^edtca ibidem. 
f^ecuiu Upideis,gemmeis^t£:m€talltcu , in MagiaLapidifm Of* 
Metallortmtom^j^*r 



44 Parti» L Libcr VIII. 

«*r*fc w#- CUudam humUhrum m9rali4dcumetao efieculu iijun- 
fJP^STjf^' ^^^^ mulm fiecuiorum '■vftu fruSfusrn^firdes (r 
macutasf4CteieleprAendeiv,eai^ueelueTe. InhuntftttmU' 
gimw^pAi Ci^.^9.ff^um tffe aneum UbrumZMojfe^Ht- 
mitto fracifiente^m bafi fuOydef^cuUs muUerum, ^uaexcu. 
tffmthrtnn^halfaftt itt ofio tabernacuti. Erat enim labrum M -va 
^'^'^magmmJtaterfmttO'$olituin,rt;teptittffecuk^ 

fettttuebantur, a» maculueffint ajperfi/vtind' 
tuplaeet. jdhibendumejel^ecutum,nott tamadcorfm, 
quam animifirdes ti maculas abluendsU , moresque cmft- 
n^t,mment^hilofifhi, a* T>0eta,etiam no» ChrM, 
ZeMoCitiicsti , ^teSlapud Diogjenem Lafe'rtiuinlib.7.de 
vita Philolbi)hor, adotefcetttem inftdtttiissy quamperatm 
4»irvettiret,quiddamittquiTetttemtadmotofieculojufjitin[^ 
res xoQfvitfue demde , num fibi i/tderetur eifaciet conm 
t^;^uafiio»€sT Socrates,eodem Laertio tcftc lib.2i^ Vi. 
ttPhtloibphor. JurvetteshoriabatuTy^t fijugiter ijtSiciHt 
intueretttur^^vt^fiquidemformofi ejfenty dtgtti ea fpec^mt\ 
jfn asam deformts , tam defotmitatem trudittotte ^tta. 
Tlato,rutr^ert Marfiliui Ficinu» in ciUsvita can^iti^th' 
is^V^jratisxottfiUere foUbat, fife^t ittfpcculofiumi^ia^ 
rentm^it^ tnim.ah eafaState fiatim dtfceffuros. Senea 
lib.uNatur^. quacftion. quacft vj^att^trrventa tjfefptcik 
*vfhomp ipfijettofiernimuita^ue exfpecuHinjhtBtonecoi^' 
>^jcommo£t, frtma fui »otitiam,deiitde ad^ltkdm 
fiUum. FormtjfHm ergojubetitttuerijpeculitm^^trviteti»- 
famiamideformmfvtfciattedimendum^rt^irtut^MfiS'^ 



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MaglaCato];»tiOrOtipiuca. 44^ 

^uid citrpon deefl i juvenem^^tfioredtutii admi>»eattir,ilhtd 
temfm ejje difcendi^ fortta fudendi $ fenem^^njt indefora 
canis deponaty tP* de morte aliquid cogitet, Similiahabet 

cfe coMHMlmC^oratii^s iib.4. Carminutn>Ode 10. 
OVidius, alij. ^ulcherrimum, terfiffimum , quodomnes 
identidem , imo rontinuo intueriaddecet, eiiCHKlSTVS 
J^SVS, qui Sapicnt»/. dicituTy Candor lucis zterna;, $peeai«ni 
ScSpeculum fine macula Dei majenatis, & imago 
bonitatis illius. Cuiqutdquid hijcetrihus deCatoptrica li. 
■^riSf qutdquidtoto hoc tomo jcripjiy quidqtadreliquis omnibtte 
antecedentibiu pthjee[uentihus Jcripturus Jttm run- 
^ quairt^DOfDico,CortfeirOiadfiUmeiiui 
gUriam^Amett, 




LLL 



LIBEH 



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Fartbl. Libcr rx: 




LIB E R IX. 

DE M AGIA I>I(> 

PTKICA,. 
De prQdigiofis RefradJiojaum 

phxnomcnis , atq,ue cSc^ 
dibus*. 

. PROqEMJUM 



Vtoptrica 
icaAii*« 
«laain- 




Pttcam Q^agiam Lihris trihHS ex^c^ 
tam,ficuta eHMagia CataptricaJeuJnacmfti^^r 
^OpticfsingenioJanoMioms^t^ 

ceshaud^fffOffiliay Md^aDtopriciififcAuacldfiica.. ^ 
JSjefraBiona^arcMfaiK.frodigia ,fhqiM cdtlo tontingmitil^ 

Ju* terri, fandit \ . ^ii^' refraBis cmpintur raiiiifenf^*' 
^illitminatiimnicommffiktteSypuiraaUayfroditeitinme^ 

efcflanatqtte\tantodfHcdatij^tCatoftTKi^kciw^^ 



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MagiaDRoptrica;' 
4ip$e^qHant0 rpehitur aluus : i&e enim in terren*fiiumcxer^ 
centimferiimjhxein afflefiia^tiam^njtilrides, C&rondty Halo- 
nes^ FwagineSy T^arelia, aHaque phafirata innumeraejfingit.\ 
Ibidem^ i^ m fiiblunari regioneapud noSyDioPtrces prafii^s^i^^ 
parvamolesJningentem diducuntur magnitudinem crn^a re- pf 
QtSyquadratarotundfSyplanafefidtSy^ felida pldnis fifnHia 
tcmuntnr{tumidadepTe^!fe4^exa cayis^direSlasnfiexiSyhac . 
illisa0mitanturi qHaquetntegrafi^ntyt^ontinuay fraSa^di^ 
yuffajbimlcaymonfira/a njidentur^ rerum D^tura non modo , 
eaqua Junty dtfftmulante ^fed ea etiam qua non fiint^fingente. 
^lurafi^h his latent quam quis fibi imagtnaripoffit j qui ad 
hanc abditamfiientiam penetraverityismaximam MagU Na^ 
turaUspartem exhaufettty o/f Kircbcrus etiam fiuetur lih.%. 
deLuce^ VmhraparA.cap.z. 9(os tamenyne praferiptos 
nohtshrnites pratergrediamur^magis mira tantumJhominumq\ 
indufhia fiwjeSla producemus^ n/biprius more nofiroy dicen^ 
atisfitciltiis intelitgendiSjnonnulU pralufirimue. - Legatyqui 
ruoUty Prafiutonem^ dervfu Opfwj Joannis PcnxapMl Fri- 
dKr\QamK\CncmminittoOpttcesJ^ 

ftices^ilitatedicatynullatamenfitntadeaquadscemui^ ^ 

SYNTAGMA I. ' [ 

^Apfaranu DioptricM , frAcipuos Tfioptricd ler~ , 
numu , I^fothefes , Trofrietstts \ 
expltcans. 

f^Ioptrica,iiTe Mefoptica, confid^at radioslamiiMstouect» ^ . . J 
s - - - JLLL » meoa* 



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4fa PartUl Libcr IX- 

j^0^rg. mena^quacliiiiasRiodiradiosfeqauDCur. EftautemradiQsrefra-^ 
jjrsaiis. , djiis ille , qui non procedit reda totaliter per totum fijummcdii 
um/edfrangituralicubi,& facitangulumvquod fit^quandora- 
diusypoflquamprogreflus eftredaaliquamdjupermediumdia- 
phanqm unhis raritatis & denfitatis » incidit in aliud medium 
diaphanum diverfae raritatis & denfitatis , v. g- ab aere tranfit ia 
«qnath^in yitrum>i6 cry (lallumiaut ab aqua tranfit in aerj^vaot 
90 aere rarioreprogreditur in cLy|fiiyem,y.el e contrario.NaaiiQ 
omnibus hifce & iimilibuscadBus» in pun^o incidcntixindi- 
vcrfum medium frangituraliquantumradius,&facitangulum, 
utieKplicabimus. Interim con(idcraappofitumfchcma,ioquo 
Vkk Fig.i.CDK. eftmediunai unius raritatis vel deniitatis» copd, mw^ 
ijconif. umalteriusraritatisveldenntatis, CD .fupcf^ciesdiverfimcdi^ 
xxin.. A pundumradians^ ab radiusdi.redustranfiensirrefra2lu$pei 
mediurauniforme icd k, usqueadpundum b, iquopundo 
ukeriustendit^noDindirei^umusquead £, utifaceret,fimedi- 
um.coPD eflj^teiusdem raritatis.autdeQfitatiscumfuperiore 
JTiedio,fcdfraT)gitur inpui)do B, ScprogredlturveFfus g, ?cl. 
^*" • P> faciens angulum abg, vel. a b f, 

CAPUT PRIMUM; 



I. D Adiusincidenssfeu)ncidenttace(l,fecuodumquemItimett^^ 
Vidc Fig. . '■^aut; fpecies , direde. diffunditur.pcr medium diaplunutn 
i^Ico- eiutdeotrationisi^ Taliscftinfoperiorifchematclinea ab» 
imCxxiii. 1 1; Radiusrcfraelus^fcurf fraiftloniscft,^^^ 
^JI^^/^^^lumeniautipede^^dito 

rationis^priori.! Talfseftlioca BQ,.dcrBF.. 
at45/5^*«#. UL. Pan^luS:refria<aioni&eftilICiinquo fit rcfra^ioradii 
'^JgJJ^Incl^^^ Fitautcmtalisrefraaio in fdperficlemediidivferfc 
Zh^^ Tajfo i|ijHp&set <^ ftt liAeam c nr > & pdnflEii;; 



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MagiA Dioptrica/ 4fjf 

V I. Ptffpcndiculrais /eu C^tberus incidentia: e&\imi^inijfffi^lm$ki>^ 
ouxk punifloBadiantecad»tperpendicokuriterfikprafopef6o^ ^ ' \^ 
i]Iam,iBquafncipitrcfTa<aio. Taliscftlkiea xmM^f^* (^an*> V ,i ? 
donMdiumdfverfume(l(f>faaDricum,nveconfvexum^nveti^^ . t 

viim,perpendfcularis incide&ciae eft'iihilmea:tC)iuej^Qdoifa- ^ ' ) 

diante tenditadcentran)itlius<:orp0ris. Tabseft iAQu ^ t i 
*y « PtTpendiculSiftfsribfradioilii^eftilU^u^ t 

fi^aiottls crigiturperpettdicubirtterlaper fupiarfidrmiil^ ^^refr^&iM^ 

qua incipit rcfradio. Talis eft kb e. In corporibus Iphacricis!. 

cft'i1la.qaxapunAorefradionistend)radce^^ : 

fi, Q fitpuDdomincidentiarlirarcfipaiftionis.. .\ , 

V Angulus Incidentiar eft, quemiconfiitucir]i(0ea.t|)(:i' A«^# 

den tia; & perpendicularis refradionis in punAoaijcklcntiaticiU!^*"'^*** ; 

refhtt^onis coisintes. Talis eft- a b k; ' ; 

Yll- Angulus refraftus cft>xjuemx:onftituitJinca refra-^Aji^/iri . 
com perpendicufari refradionis m pufidbTcfradionis.Taljs/^«^'* 

eft. GBL, & FB L^figuIilS^ . 

VlILAnguIus refradionis cft^quenrxonfljtiuttlincarcfra* Aii^ifiW/: 
fiftbnis cumhnca incid6ntiac:protra<^a in cootteuom per corpus 
diapbanom dtverfac rationis i priorf. . Talii cft: gb fii . jpft £ 
anguius* 

IX.RcAiidioadpcrpendicoIbmdtdtancumcadtti&rd^^ * 
ffionisacckTitiad t>erpendicularem refihaAi0ois> Talis cft^lrefra^ jfJlS^ 
Sforadti' ABF, qtjfa BF accedit ad BL,. rcccdcikdoif^ BUi. , 
Rcfradld ^pefpendiculin cft, cufn:^raditis«r^ra<3os x</r»^av 
reccdirit y^endiculari refra&ibnfs^ Talisicft.rcfiadio«clMiJ2^"^ 
A?>Gi, 4^'><^-^^^^^ ^i-v 1^^*^ 

.... CAP u T n: 

mriib'MS admtj^si. Hjrt*tkffi$i. 

Ai^p|ip,endicpIaricer^mediorari6n in denfitis iBcideni vide Fk^;. 
^tts'i penetfant iHucTirrefra&l oblrqQei ver6uincideoce$> imAtoti^ 



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Baitif !• L1b. IX; 

difm$if^^ iDgreflu retriaguiKur , & rerradi iAtra mediOm deoiios acc^ 
daatvcrfaspcrpeiicUculafem. Sicinfuperiorifchemate>radlui 
Kfi pcnctratirrcfraau^i» Li radius:vdr6 rcccditamrc- 

tefrinim^ da BE, &proceditpek' viam jf, accedendoad bl. 

^^Im • * ^^^i^i PPrpeadlcularitcr h mcdip deofiori idrariusii- 
cidentes, procedunt rcd4irrefra<Sti : obiiquc vcc6 incidcntcs,ifl 

m€dium ingre(rurefnnguntur,8crecedunti^perpendiculari. Sic radius 

^^^^' L> * proccdit in^radus verfus k: Secadius fb Bonprocedic 

^^Hf.^txi^'^ R perviainreaam,(edvcrAi^ a, reccdeadoapcrpcB- 

iuiii «^/i-diculari BK. 

3«i2"«#. I.llcdiusol>Haul Incidens in medium denfius,c6 magii 

moi!'rJ^^ rcfriogitur ad pcrpendicularem , qui^ dcnfius efi: mcdium : ioci- 
j^^ii^MiMr. dens yetb bbliqu^in rarius medium» eomagis refringitur i pcr< 
^^^^^ pendiculari,qu6rariuscftmedium. 

IV» Hincfit,utradio^iiqu€inmcdium4cnnusincidea> 
^tcanguhis rcfra^us f b l c6 (it minor , angulus vcr6 rcfradio* 
nis F B £ e6 C\t maior, qu6 denfius efl: medium refpc&u alterius 
rarioris. £tvicifnm^u6miniisdcnfumcftmcdiuffl,e6maiorfi( 
anguius refradus» & e6minor angukis refraiflionis. 

Vi. Radioautem<>bliqueinrariusmcdiumincidente.tam 
' refradus qtt4m refradionia angulu^ , ncmpe a bk« abr, eo 
maior fit , qu6 rarius eft medium \ angulo tamen r cfrado r^fra* 
•AioDis anndum femper (uperaotcciim hic fempcr fit pars illiitf' 
Wi4f^^ VI. Oiiinisrcfrtfdlio fit recundum lineas rca^tt^adeo^ac 
ftf$cm^ ' radiiiB refradusininedio refradi vo red4 proced i t, non fecusac 
ikm^Umm radiusdftedus extramedium rcfradivum. ExpcrimentumbU' 

jusreivideapudKircherumloc.cit.tuPr^at«tbcorem.a. 
jumM My- VII. Qu6 obliquius incidunc radii in medluip refradi- 
f^*^ *^*'vum,e6magisrefTittguntur. 

5^3^ VUL Si radius refraduj ex medio denfi^rc rtw^^^^ 
jHMwr. perput^umingrefius } eodcmangulo ^ t]uo iaiogreflti fraAuf 
fiiit, frangeturquoqueio cgrc£u: idcbqueanguli, quifiuocad 
pUQdttm refraAiofiis exlincispartimdirpdis , partim refra^ 



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Rfagia biojJtrfcS 4Tf 

Eis A B F, xqnsXis cffcanguro fb a, & viciflim. Htoc ctianram 
gulus ABR, scqualis cft angulo fbe, & viciffim* Itcmangu* 
lus RBK, a^qualiscftangulb FB^&viciffim.Dfemonftracioncna 
yidc2p\id p0rfamXfrclifrum,Herig0mum 

IX- Imago rci rcfraaa vifui occurrent, fao Idco non vide» ^ - 
ttir. Sicimagorei f, occurrcnsvifui a, noti vidctur in f, fcd^^^^„^,p , 
io linca AB5. K;^aacft,quiavifiofitfccundCimlincamrciaami/if^rr/i^^ 
oumcrgooculiis a vidcatobiccaum f pcrradium ^b, ut fup 
ponitur,vidcbitid'incadcm liaw a»b contiiioatav^rfiis E» Vi-^ 
dcquxdilcimusinMagiaCatoptricalib*tf-Parj;Pf^ 

fit^v 

X. Itnago rc£rada vidctur hi concurfu Perpendicularis Ecn Bi^^a^ - 
Cathect refradionis^&.radijxcfra^ coaunuatl Sicinyigp obic- im^gpvhi 
AiFvideturias. . ^''^^'^.^- 

XL fiLcfra<a:ioaHquandocauft,eo^Iorcm^,utpatet ^^^^M^? J^^^^' 
Goronis,virgis,viti!Striangularibus,&alrisrcbu^ ^^c^S^m 

X 1 1. Rcs to mediorarioreappar^Tcmotipr j 4c min<>r s ifl ct^ufMt. 
dcnfiorc verdpropmq[uior,& auior. Quanto vero rariuseft mc^ ^ll'^^^^^^ 
4iumftant6minora,&&remotiora>&quant6den(iuseft;xnedium> ^ i^nfur*^ 
tsuit^aiiQora&rem^tixH-aapparcDtobieda* ^uomod»^^ 

* XMi* Imago cuiushbct reivifasdivcrfimodcfiCTra^rie*;^^^ 
eimdiim figuraro (uperficierum corporis^inquofitreKadiO.- .. 

COROLLARFA; 

Hltu ffittST.ToJfe aliquid videri vifwne refra&^^ qne^dtrciJivl' 
derinonpdteSt. PAttt il^r^no, air fars ka^ulircffi ^4!;^^^^^ 
ffnmerJafnonappareatindtAiff pjfiii^tififxtraaq^amejafienti,^^^^^ n^^f 

\a^Meadeab^CMlf4^pp4reatJra^^ ^/^^«l^iS 
i^jfahorij(^»trmrevera demofx , appareanialtqHandoJupra h0ri£on* poteft. 

^rpfndiemaxttt^r, apparetjuo hcq^ ^fl^qf(^ "^'^^o p.trte < mj^t asobltqueyy^ aqaa.^ *' 
gf>parentexthfiumlocym^C^jM Patet F ^^^^lJ^^ ^^^^^'^^ 

^it^iwdicu^ite* infijhmcs, &dliq^hnJpeff4, apj^Mreanih^ 



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•^ciafye^ jff^,app^eftt fubUmitrt. Pate$ Cunufu* vhluiue infpeaAt mink 
^^^^t^" frofuntU iffdreat, quimreiurAjit \ qUianimirumfundusdpftrtttU. 
: faaLzp- tior. PMtet Vlt. Cur res fub njuu exifttntes^ippiLreAnt mMres amnu 
;paie»t. fftfri^tUtpra tixfr^rtdeocuhvicimtraAppArent^oquefubmmn 
MHgulocmfpuimtMf. 

C A P UT iir. 

Dehl^orttmrefrmgmmmJigHru0 ffrcfrie- 
' ■ tatihiunonmllts. 

V '»r 'm I.i^Ryftalla&Tkraomotafadios&ittcdiorarlore,tiempe»efft 
r^intZ in Ce oWiqui incidentcs rcfringunt ad perpendicuimiv 
rtqiradijcxijfdemegrefliinadrens.rcfringunturiperpciiddb. 
JJ^j;^ S , iiti ex-di»» coiriUe. Suncautem.cryftalli & vitri refraaioaei 
proximec«dcm. _ 

II. Vitracefrmgentia fiiqt ?el regularla,vel itreguIaria,hoc 
rhrsxi' eft, ha^enefupcr6ciesvelre|uUre5,vcnrregulares. Regul» 
pmvttif fontmakiplrcia. Praeciptta,«cpro<lioprricis loftniroeausadl^ 
bcri fo1ita,funt plana, convewr, concaifaj «c faacc vcl ulia mrii». 
' ' ■ mbiVcrplanoconvexa.v^J-plad^concavazConvcxavdcoATen 
vtriitoque,veloonvcxo.pkfl?,veIconTCXo-concava:coiifaTawl 
cottcavautrimque, ifclconcayo plana, vclconcavarCODTexa. 
Santetiamplana.m(>ltarurp fupcrfici^ram , qua: polyedraToq. 
m\is; Simttrilafera & obloftga , quaepcifipata trigooia)>pdl» 
iiius, 'IrrcMarium Vitrorum iofimtac funt form». 
'mLLLiL * *TI 1. Vitra coiivcxaiquorum pr«cipuusiri Dioptriciivfe 
«rtifi*r l^t, fe"feHb^ata,farit ujt' ftturimtim iq fortrtrfdrbteulsrilMmoaoi» 
* ' Icniis,ncmpciDmedioprotubcrantia,c{rcamargiiieinpercir. 
' cuiVamdeprefla. Ethiccvocamuslcntcsconvcxas. CoDcayao^ 



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Magia Dloptriau* 4;7 

I V. Leosmaioriscircull, feu maiorisrphaEr«eftt cuias Ai- ^•^^i^ 

Eerficieslendcalaris eft portio maioris fpha:rar,id cft, fphacro: ha^ ^tif*^ 
entismaioremdiametrum* ^ 

V. Lens maioris fegmenti e^, quac maiorem partem fui cir« 
culiveirphasra^concinet. ~ 

V I. £x lentibus 6unt tubi opcici» quos vulgo Batavicos feu rnhnt^ 
Hollandicos vocancalij cubos Galilqi»communiter Telefcopia. 
Parantur in mbdum cylindri cavi $c opad > cuius bina oftia vitris 

feu lentibusperfpicuisclauduntur^quorum unumrefpicitvifile, 
aliud<>culum« Ufusprascipuus eft j videre res longfnquas coou- 
fius.&auiftas. 

VII- Vitraconvcxa,fiveutrimque,fiveuniifoIumparte,uK vitrMm- 
tra fecogunt radios refrados in (inam bafimcommunem.Sequi-^v^x^ 
curexnacurarefradionum. LocusautcmconcurfuS) feu eius a^*"*' ''^*' 
vitrodiftancia, varia eft,pro variaconvcxitate, diftanciaobiedi^^HI!^ 
radiancis>obliquicaceradrorumincidcncium,&fimiIium. Nec^^'''^^ 
confifticin indivifibjii. Concurfuicamenduorumquorumlibct'''^^^*" 
radiorumabcodempundoradiancium, in indivifipili^bnfiftit.rl!^fr5/!l^ 
Sequuntur ha^c omniaex nacura radiacionis & refradionis. Unusfm* 

V II I. Radij adivcrfis punclisobicdiradiantisin idem fu-"^**^' 
perficiei denfioiis refringencis pundum incidences,ita fe mutuo 
fecant>ut fitum mucenc>ac fi fecliofienptfinercfradione. 

I X. RadiJ penecrandolinearem angulum prismacistngonf'^(/^«; 
ex triangulo^quilacero vicreo,veIcryftaTlino formi3iti,jucundif- Jllll?''^^!^ 
fimos colores iridis producunt. Si vero vitrfeicorporisanguIusSIwfjT^ ' 
inter oculum fic vifile poficus , redus fuerit, non transmiuet ra- 

dios vifilesad oculum. 

}C Prismacis pnedidi angolo fupino» quac funt^ viden tur fu- 
jitna,pronoinfri,dexcrodextra9 finiftro finiftra* 

XL Radij paralleli incidentcsln iuperficiem convexam^^^^f*' 
lcntis plano con vexa5,portionis minoris quamjo.graduum^ppr-I^^X^^^JI, 
pendiculariter obiedam > cocurrunt poft lentem cum radio per- rtfrmim» 
pendiculariter incidente poft fesiquidiametrum fphacnc circitcr:'"''^ 
incidcntcs vcr6 io pl^am (uperficiem prxdi^a: lcntis inverfas 

' MMM paral- 



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4f% PsMrtkl Libo IX: 

paralleli, H per(>et)dtciilire$ reoocorruot mh^ fiiperf deiMoi^ 
irexamcuno peFpeodiculariradicfercdianAecrocooTexiutis. 

XII. Si radij incra prxdidum corpus ooo fiotparalleli > fed 
irerfus deofiim coovesd cerminum converganc ; io brevior i di- 
ftancia con veifdyqui^m e(l4iamecer coo vexicacis , adpuDftoin 
concurrenc : acfipun^mradianspropiushieritconvexoidia- 
roecro convexiuci^ } radij pun^ illius refradi divcrgent io con 
poredeofoi 

Xi I i. Radij parallell in lentem utrinfique convexamper^ 
Ipendicuiaricer obieAam incidentes>i propi us poft ieocero con* 
curruocad.uoumpund^im^quamfitdiameccrcirouli > quiib& 
mac aver(amfuperficiQm y & propiiis quim fesquidiametetob* 
veiiae.Qu6d fi coo vexi cas v traque ex eodem circulo fuerit i cofff 
curfuspoft lentem fiet in punAo , quod abefl: (emidiametroo^ 
verficoovexi fer^,iK)ceft,in centrocius. 

XI'V. Si fucrintinsequales convcxitates , concurfuspo& 
lenceiihinilladifixintiaconcingct, quas intcrutriusque coovexif 
tatisfemidiametros ver/atur. 

X V. Longinqua^rei radiorum concurfijs eftpropinquior 
bnti,quiim remota?. 
iffif vi^ XVI. Aqua limpidavjtrfsinclufaconvexis,concavis,pli* 
Vj mnn ^^»^^* '^^"^ potcft quoadrefradioDem,quodipfum vi|rumfcB 
d^rtfrhh cryftaIlus,fifoIidaeflent. 

pi.qMvi' XV 1 1. R;adij traoseuntes per vicrum utrimqueconvexaffl)^ 
^^*^ ; cicitls pofli^egreflum concurruntsper vicrum verd una^ artecofl- | 
vexum ,alteraplanum , fiincidantinconvexamluporficicio, & 
^rediantur i cava,tardiiis concurrunt 

X V 1 1 L R adij transeu ntes per vicrum utrlm\]ttecooca70i 
diflipantur in egrefiii } fi ver6 vitrumfitiuniparte cavum , alteri 
{>Ianum>fi incidantiQcavamfuperficiem , &egrediaiw 
curipUna ^ poft^grefiumcoUi^ 
gmtun 



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' MagU Dioptric». 

SYNTAGM A II. 

Tarajtafts Dioptricayfive de rerum fer radios re- . 

T^Topcrica nonmiiwrcmvaTianim, mirabiliumqaeParafta- p^^^jf^j^ 
*-^fium materiam Dobis pracbet.qu^lmOpticajatquc Catoptri- iuftriot. 
u. EgoquasinvcDroapudP.AchanafiumKircherumlfb.TO.Lu- ' 
cisSc Umbr« Par.z.cap 5. & alibipa(nm,apud P. Mariinn Betci* 
num an Apiario 6. aliosque Aa^ores cttandos , 8c quas proprio 
Martne excogrtavi.in medium producam. 1 ngeniofus Ledor , & 
infeodsadaeregnaras^phiraexcogiubit. 

CAPUT PRIMUM. 

De ^B^vxpntaiione dioftrica per aqmm, 

f3X-acas bocCapiceParaftafesperaqua$dabimus>pIurimasr«- ^'W'^ 
rqucndcapitcpcrvitra. 

PARASTASIS L ^1^^^. 
Imagtmm itaconfittmere y vt hydromantico artificieti^^ 
exocidifJitbJkcMtfirtt^ mofxreducatitr, 

Flatvas «c» fupr4apertum,cuiuscunquefigurar,&magntcD- 
diais,8cexquacttnquematenaaquaercfiftcnte j Ruodmmc-^^^*"*' 
die per diapbragma D £ dividaturinduorccepttcttla, «'Bt&vSTVig. 
c; »catameai,ut d c receptaculum matus fit recc^uculo b b. Ex i i.icoi£ 
recepcaculo »e> per eius diaphraema transcac cubuhis g m> ha- ni£ xzub 
beosepiftomium £. K.ecepcacuTum verb dc habeac>c;pifto. 
sninm o. ^qpradiAumvas bc. erigantorduat, aucqao)cuB» 
43arroltieris,column«>&rupracolumnastholus a 4DCuscaviis» 
in-verdceinftrtMftuscpchleoH n, & aequalisad minimttmcapa- 
^jxax» cufD recepucolo sc Per columnaruin unam dcicea* 

a 



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4^ Pards L Liber IX. 

dac^cholo a, in recepuculum bb, cubus pg utrimquea- 
percus> habens epiftomium f. Hifce ita conftrudlis, poQaturio 
fundo receptaculi b b imago (eu quodcunqueobiedumi y.g. 
crux>&tholus A impleaturaqualimpidiinma»reccptacola?er6 
BB> DC>nuneantvacua« Recedatdeindefpcdator l tamdio, 
donec oculo pofito in l v« g. non videat amplioscrucemio 
fundo receptacult be pofitam. Quo rpC(f(iatore immotom)- 
nence>aperiepiilomium f> donecaquapcrcubum fg defceo* 
dence>recepcaculum bb pauIatimimpleaturufqucadrQrofno, 
iterumqueclaude: &ecccrpeclator l paulatim vidcrc iocipiet 
crucem velut^latebriscrumpcntcm. Iterumapcriepiftomiofli 
B>&aqua per tubuni qM deicendcote > crux cadcm paulaciA 
difparebitfpcdatori l ineodemmancotiloco>acvc]utiQoiiii- 
lumabibit. Claudeiterumepidomium £> &apcri cpiftomium 
Fs iterumqueapparebitcrux: dirparcbitvcrocbufoitcrumepi- 
ftomio F> & aperto epidomio £. Atquc hocfpcdaculumex- 
hiberipotcrit^quamdiuaquam tbolo a faerit*iquadc(icient(; 
eximieapoteritereceptaculo dc» perepiftomium o, 
ruminfbndiintholum a. RatiohuiusreipendctexdidisO^ 
i.Num.9.8cio.radiusenim hi frangiturinegfefiucxaqua.& 

{^ervenitadoculum l> oftenditqueimaglnemin k. Spedaco- 
um jucundius eft qui^m prim4 froncaappareac. BxKmhtrif 

ANNOT AtlO. 

\AFkiverojuc0ffJiusacmirdliliuierh J^effaculnm fjfvdf^^ j 
^^^bhngiim^vtinfundoreceptaculi Bfi dtjppariqueatimij^u^\ 
refmUftraditas lib.yPar i.Cap. i. & iJunc enim } con(iitut$muffi' 
rebitimagoinrecep^uloiBoaquarepktOyqudin eononaffkntfno^ 
frofiusaccedAtJpeUator. " ' i 

COROLLARIA. \ 1 

BydromM' t^Qj in fundo rectpiaculi BE pngaturyoutcolloceturaureafilk^iii 
n^*»r* ^^^^^^^^^¥y^ ^^^^ i^^g^ > foterit hacarterefr£fentaHvtu6 

occafksearum. tL StineodemfundoPingaturperJonaqum 
Mm. teaefdnat,fotiriteuoJtendiferHjaromantum: 



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Dipgtticf • 4di 
PARASTASIS 11 . ,f 7 
I^dromanticHmJpeBaculum exhfiherey n)t im^ginis 
njarU derefcnte comfareant^ t£ dij^areant. ^ ' 

I^fat vas medifocri^ alcicudinis^ rc d; h^beosfundum vicreum Hydt^mM. 

cn, picc,Tefi^^a,<calce,aliovefimlli/^^^ 
gmeocacum ; opercutum yer6 a b hab^acforj^njicn _ ?. Sub vi--^'^'" 
creofuQdo iiat rou quapdam , pn^j^ensip circuicu^^^^ imagi- vidc Fig. 
giDcs auro depidas^itaque coapcecqr roca ^iUC pccultl circumdu^ 1 1 1 Jco- 
ci poflic, 6c nunc ha^c » nunc. illa imago confticui direde (ub IFora-^ ni£ xxuu 
mine £. Impleatur Vas aqualWpidri^af Stbcceimago, fora* 
mioi fubfeda , & infra fimd (un vitr^m de^ 
uc fere in aquas fuperficie appareati Si ica^iie «Miim;yiwl<i^.cir- 
cumducacur, aj>parebic &occulcabituri)iiaciiQiij?iniQ€«^^ 
imago^ooti fine /pr<£lacor!iin axlmiractone ^ dum iifhukc^ 
aquam videncquas infra aquam nullrbiapparefat» IBxKircher^. 

qOROLLARrA. 

OUigiturhific L qiuxatieneidcm (pe^taculumcxhiieripejjttpr^ce- HydromM. 

dennM^chindtJiroUfiatfuprafimdumrecepiaculi be, ^&ccuhe*^^^P^^^ 
cfrcsmducatur^anent^jfga^^^^^ CplHiitui/ I7m^7jii 

ne Jeptem P/anetarum ortu^ ^^egynen exhiheri hacartequeani , fiin hAm. ' 
rotitcircnitndefingantur y df^finguHh^M jin^m inconj^e&imve^ 
niant. ^ ' • ^ ' ' ' . 

PARASTASrS IIL ^ 
Faria J^e^aculaperviireas.phiala4,4qu^^ 

nasexhihere. . .4 i. 

INvitreasfphacracfeu phfal^ambicuexceriorideFrtt^qQasoiiii-C^^^^ 
* que volueris figuras colorelevi& aegjo^^jk phialam reple limpi>^ ^^;^ 
diiumiaqu^ Deinde retro phialam colloca lumen > ance ver^^^W^ 
eandemobceode charcam aut telaih caAd}dani>ucriusqpe,]|^ 
Bis inquam^dc charca:>di(biQ ti^m 4 phiaJa docebic ce experiencia* 
Hjsiadis^fingukfpeiciesimfigini^ .... 



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4«» Partiil. Lib. IX. 

In obieAa p^yro aut tela dod fecus, ac fi ab obie<^u abfciflctf- 
>'■ 4Mt>apparebiint,Ac qttldemcufn-emaibus fuis coloribustbabeot 
eoim ima^ines fupradi^o colore depi<3;x haoc proprietacem. 
£xKhcher0. 

' AN^NOT ATIO I, 

OTifoteru pro hacfarAltaJicubo />afyracefi,^ii(em-ileJcr/pjh»mlil)J^' 
iu tMdgia Pgrajidticd» TaraM^X^aPitif i. Sifrtterta oMta 
^trnmt^e^fticttm , 'Mi6iitmmmfte^mueM.fr*ced:Sj»^ 
' c*P'i'*dhHcmeU0rem^c^kiil'r^^em: 




*^*^ulfi^ki&tetr§fhiaUm»fta»tr9tmfeHarlfemUgnett^^ 
tacem»y in xiAu» timhfor circuitimtdefiShtft$ntvaridimaginesfHr 
lenti fefieacmjferie congrnetites ttutamem vtreta levifmofiama- 
cnmagifoJlit , S^J^^nam trevijfrnto^atio afhiaUJifians.Infrarnai 
' jeitti^emfo^untcanJeUm,cnintca»re(^vaforerota*irTmtt^ 

tcceimaginesferfhidtamtrtnJfarentestnenpcmacfiaifMdinnttmU 
MMtttefiiUJ^SdcnUfeJeadJlantiMmobtttmmofermti. 

ANNOTATIO 111. 

pHftiiS amut flenJi refrajentavit Xomd P.kircherm ferfcntes i»» 
fiffSIZ * hiculo oijcnroferfarittetrefeitt^, talifa^a. Serfentem chamt' 
ftr mmmm^ mfibilem&qnofi voUtilem adgUtinavitfhiaU, &fo/eamf«p 
HlSZ' Jmerlim^acca^.xjfffermtfcrfenHsimapfeuvmhra iwforittt,^ 
«. Mimotumchartdmtvebatur. i^ntefhialam,& antejerpente»,ft- 

PARA ST ASIS JV. 

>Cdores aff^rcntes^^ariof anaclafiice exhiherefff 
fhiaUtfi^vitretmiitqttaflenam^ - ' 
9i0ftrta » QcipefpharramicupIuaibm^Tiercam-^aquali^ 

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Magi» Dieptriou . 

SolhintpUmmadmtts,rtBc&anm in oculnfii tuoni^& vid^-^ 
bisin pbiala & aqua varios cotores appareoces» magis minilsque 
imrafos, propcer vartam fcilicet in medio denfb refradionera. 
Qui quidem colores appacentes aliud nihil /un t,quim lumen Str^ 
lis in medio jIIo denfo ac diapfaano^qui^ reflexione, quk refra- 
dione,diverfimodi affedumi quod tantiinativ^^Iudscolore 
cHfcedit m^ ets , Quant6 per varias refira^lionesmag^.fiierit dcbU 
lita tum, umbrouusque reddltum. Vide Ki rcherum lib^. kvtcis 
& Umb. Par.i.cap. 1 1. 

Ex hac paraftafi difces^qua ratione fiant coloresapparentes 
in nubibiis>i n vaporibus atmofphxne^in iride,pare}iis,cordis,ha- 
lonibus,Sc fimilibus meteoris aqueiiatqueaereis, de quibus iuo 
^coinMagia Meceorologicai 

P AR AST ASrS V. • \ 

Jridemper aqudguttulas indh^m^ 

A Riftbttles meminit, & quoridiana d&cerexperientia , dum iridmm^ 
^rcmis,maximfe Ibngioribus,& gravioribus,ftcguentibu$qoei*«*«^ 
qoatbsin triremibusfunt, aquapercutitor,ot guttfl^ freqoentes 
itraSrem fpargantor \ iridem apparere in didts gottis» fiijoisin* 
ccr Solcm &gottas con(licotos,SoIi dorfura,guttis faciemobwiw 
tMC; Idem cootinglcfi quis dorfo Soli gbverfo exfiliencesi fon-^ 
te arcificiah aquas,guttatlmque decidences, afbiciaL lcem ^ fii 
^is justa lacum aut fiu vium confticucus,aquas oacolo aoc>perci» 
ca percuciac, ut gutcatim in alcum exfilianc. Faciliiis eadem iris» . 
Gcefe momeocane^ tJDt,iim » exhibebitur , fi quis ore haoftami 
aquam in altum^parg^t Sole lucentc&interSoIemSeafpei^i^ 
nemconfUcutus , decidentes giittuIasafpidat^fnaxiiMfif 
an^ f2iciemt>ccurrat ob jedom^ 
ogacum. 



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4^4. Partii r. Lib. IX; 

- .PARAST AS;S VI. 

Speculotojrvexo intra aquam lim^idam immerfi 
lem rcpn/entarc, ac p (lella cjfet. 
%$Um & P-T^j^^ Experimend feu Paraftafis meminic Rogerm Bsccen \t 
fut^sm ^ ''fuapeHpedivaPar<3.Cap.;. EjusdemmeminitP^r/^inMa- 
^i^trs^7d Natunlib.4-exquatuor cap. i. & Cdrdanw lib. de Propott. 
7xhih^i PropQfit.119. CornetimKyfffiffa in Philofopfaia occulta,Or^«Mi 
^k^nk. it6rumdeSubuUib.4. jfgWi74^iiwinOptica,Sc nos ruprili.^.Paf. 
^«Syntagm.i.cap.2. Q.uiaveroimagoSolisin fpeculojminorap- 
paret,qu^m in aquai idqpputantmulti, videri tunc iceliam;& 
quiaexperimentutn fecerunt aliqui»dum Sol prope canicuiani 
. e(Iec;per(yaferunt fibi^^c^liis^caniculam in fpeciilo apparcrft 
At imaglnem illam non ftcllas alicuf us,fed Solis efie > prooa vitnus 
leccif. ex Aguillonio. Torquent fc Porta, Cardanus» & alii,qui 
fiat utin fpeculominor^in aqua maior appareateadem Solisinia- 
g;o » adfignantque rationes emntao faifas. Fortafie quia dqd- 
X quam rei experim^ntum fumpfcrunt, fed tantiim aliorumrela. 
tieoicredtderunt. Caufam veram adfignavimus loc cit. quzex 
oaturatdc proprietftte refrac^ionum etlam coDfirmatur.quoni- 
radii in aquarci&adi defcruntSoIis imagincmadvifuiDfub 
fliaforiangulo... . ^ . 

, ; C AP V T 11. 

" • ' iyet>ioftriea rerHmexbihitione ^vitra. 

Vsrsftsfis pRflKJipuu^ in dioptrica cxhibitione rerurn pcr vitfalocoffl 
di4fftrics f liabcnt vJtra trigona , feu tngona pfifniatai vitrca, Sc diAa, 
firvttrs. qy^^yj roq4um pwfmatum trigonorum h vitro feu cryftallofint 
cflormata , uti ex appofita Figtira appaf ety euius bafaivfunt bioi 
Vidc Fjg. triangula, abc^ def, fecuhd^|m1pngu6diiiem ver6 habcttres 
V u Ico- fuperticies planas quadrilateras bl)hDngas,& tres anguiosfoli(io5, 
nifxxiii. ad,be,cf Hascvitra fi ante oculos transverfim ponaDtor,ut 
Frifinsts CqJij radii pcrmccat, & fudi intra corum profundiutem a<i 

triginsvt.''^ r r 

friS. 



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Magia Diopttica. 4^ ' 

oculos ptvtemm ; yarii ex radiorui» re&a^ne Cfajfaotur co- 
lorcs>prasctpu6 vero rubeus^fla vu5.ca:ru)cus,^ intcr bofce puui- 
cettsaavfridis. 8esfioueft»caur|ob£qqu,>Quamexplicab 
fuo lempore : iciierim legi pocefl PMuhfrmiih.i.lMpi^^\J^ 
Par.3.Cap.4.& PJZMCchim in Philorophia Optica. * 

P ARAST A^IS I. 
Jridemtrlgono prjfmate vhreo exhil^eri. 

PRirma trigoDum vitreum indc transvcrfim feneftrac cubiculi ^ 
alicuius qu;e (ofem iuceotem refpicit, & cUmm^mm 
lijxiiuUanJuperdiclumprifmavitrcumpenetrarcpoflit. Vidc*i 
bis^quamprtmum a Solc illuminatum fuerit vitrum,in pavimen- 
tOtautol|jedl?icfaarta,colorcs variosjquales in Iridcfpcdatur. Et 
itpl^p^cpncavo cxcipiantur fai colores , repra^fentabunt IrKlill 
Perfccliflim^m. Rcs nota efl, &a multis pa^fimibWerflitit 

P A R A S T A S I S II. 

Vi cmlfiadMm pr^miijfimk periff^etA[m4,(U ve- 
Jlttum^ideatwryefficea^ 



nTRigona ▼itrcatria^quatttor^quioqde^iutquotquot volueris, . 
•* jtain unum intrafenefteUamportacilcm c d cpnjunge, ut 
€t mutud angulis roIidtscontingantt& exunaparteunamcpn-Mf^i/rn» 
cinuam plaojtiem exfa^eant » ex altera yeto parte planum fulca-^^'^'* 
tui^ti reteran^ » prout tn figura apparet Hoc polytrigonum in- yjj^ p* 
tracubiculi feneftram Soli obverfamaccommodaitaiUtplanumiy, loovm. 
fulcatamforis ficrcliquum incus ; reliquas ver6 fcneftTas»& p<r- xxiii. * 
tas,f(rirai»Uque]ucisobniad^ Quiimprinii^m igitur So- 
lisradii vitra perroeaverintttotum cubiculum coeleftt quodaili 
& l^minofo oriiatu ita depingetur , ut paradifuni reftrati Qoi 
radii fi fpeculo concavo exci ptantur » mox nova /peftacula vide* 
briscolorpm^prioribusmulcumdifparata. $iver6pervitrafo-^ 
sasjrelpcxcris^ omnia tibi forinfeciiis^exliibitS >fnfiiiKii cplonini 

MNN - raiapttt» 



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Goo 



4^ Psmb t Liber )X 

rzrientenddoqi(Mca\€ff:e6^ Mefnioiott 
alicubt in Siciha per uoum rolmn Wcruro trigoauin iocra feiM> 
ftrafn accommodatum foras refptciefitem in hfbjedu m fimm» 
j^omioes io eodeambulattteSjmycracos Ti<ii fle. Em Kinber^^ 

PAR ASTASIS UL 

Jrsdf m circularem vnim atit ^turittm colorum 

frocveart. 

'^^m pkiitermoduihFaraftaij i.tracfit?im,Exceir^ 
Hffr^mih^ ^ j|4vcj90 Marci ia fuo de Arcu coelefti libeilb^jd effidere do* 
^ cecper tJrigpDumqaodvocat ArmiHare. Idtem per trfgooctfntc 
cyiiodrum ▼itreumficefiormabis. Exceptis trigonavitreocam- 
SMsniradiisper focaraen obfcuri cubicun » uti di&am Hi ParaCt 
oppooe iis ad diftaociam aliquam(quamdt>ceblt experieodc] 
cyliodrum^Ticreum^qui ratitucKnem digitifer^babeatrflcifsop' 
poficoplanovidebuquoddeiideras. Nam&radiios uniuscolo(i& 
cvlindrpdebiriesureperis, circnlumunicolorem cernes. Sit^ 
co pbiriiimcolorum radii4iylindrompeaetraxerint , ij^oresecv 
fatf es dAcircinabum;. - 

- F AR AST ASIS 

Xlttotumciibiadum amnigretiofo tafiJk orrratm 

comfareatytj^ere^ 

^fyftf^/ffm-T N^egcartega Ipedacula^oLquibiss maximam Toftipcacemmr 
MfHufiiU ^percepiifeunasCttmiPi Athana£b Kircher€rRoma?miemioi»hoc 
ti^hm ^'^uedjam^docebo^xnoe mioimum e(l: did enim m potefti ii 
kSn^^ qMntamadmiiaoonemfoe^aptesrapfat kaautemprocdi^ 

(iir; Acdpcvifeu(euK:ryAallkpoly^ 

dioiom e#^rd*oe>qMjp tn Figura a i niiSuffl vides , intra 
Vidfc Kg. l^maliquemligpeum^ooaexa^cooformataqiie. Singuta autni^ 
v.ltoniL poiy^dra musf^ink fint|iculusmodi inmultiplicadisrebiisadii^ 

, bca 



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Mag^DkipfHau 44^^ 

beri folent,qa«nittlcislaceribii5 & (iiperficlebus vari(^lQdfo«Cfs 
coiiftant. Hoc perado $ in loco paraftafi exhibendat depucato, 
l>olytrigoottm prascedeos apcrcura: feu feneftra^ rttst obkaraci 
cubicuiiiQditum^radiisfolaribusexponacuri radii verbtrigona 
vicra peactrance$,fyilemate hoc polyiidro excipiaocur i qui radti 
in utrisque vitris mirifiee rcfradndi^fique, cotum cubitDlom *^ 
repent^ infolentiifimo quodam /pedacuio cam (uperbc& ma^ 
gnificcadomabuoc, uc nihil unquam fimile ce Tidiflcfaceri co^- 
ris. fncttebenshk»phaotailicoslicec,(maragdps»pyropfiiS)X«- 
phyros,amethiftoS|Carbttn^alos,nmiies<^ue pretf 0(05 lapides» ita 
naturaliter rcprx(cntatos,ut Tcllenfus ipfos miraculorum varie- 
taftc fallant Nam color ex lucis in cam variis fuperfidebus re- 
fradioneprodui^us^omnem matcrialium colorum pulchritudi* 
nem fuperat* Mulu alia curiokiSj ac ingrniofus Obfervator 
ioveniec £xJir/rriSprr^»apudquemvideFiguram« 

PARASTASIS V- 
Kotam fiel/atam in cuhiculo ohfcurato repr^jtht^m. * ^ 

fe, quA cfrcwnvotutione jua^coelumJieSd^ 
tumreferat. 

CI prxdiAa Macfainula dioptrica cubiciduro inccelumftella'- 
^tum convertcre vclis/ac utpolyedrum iftudiVAema folari bus JSIJ|L 
radiisexpofitum/circaaxcm apertur« fcncftr*inditum,ad in^^igMkn- 
ilar rotx circumagaturs&exlubebjt fpedacuhim prakii^o ad^^^^* 
iiuclongijttirundius : nam omneslucidiflimx lapidumfigurstfn 
brbem ada:>caclum (lellatum intraobfcurum cubiculumrefo* 
xent>cum fnaxima intuenCium admiradone & volupute. Quas 
oinnia adhuc maiori cum admiratione evenienc» (i i ntra conca* 
mm cubi papyracei, cuius lib.4.cap.t.ParaftaC4 mentio^ 

' aemiecimus,inlateribuscubireprasientaa 
fpe Acntur. Bx Kirchcr^^ 



NNNa PARA- 



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4«t 'mStt tlheAX. 

PARASTASIS VL 

Vl cMei^fifymHes^ ih eo hminef^ kpfareant tjm 
fZHtfuerucolore^erfitjTtjfj^cerc:. 

fyt*)M^ ^ matica , praefemin Chromatiinio^ joter ^uos eft rDodmP, 
kmmimt^ Kircheri pee ▼kreami^bialiam^aqua breAamrCuim fictitnnlc 
«qaadcfideracocolorefittin&ai Videc^ibidiximai. 

PARASTASIS VII. 
Varia fhd^ata cblwi^riain ohjcnm comim 
, . reprdfinfarr^ 

SI(Eem»tri^borum prifmaeumxde qpb Plnrafl: .x; accomnn^ 
iotra £cneUram,raodo>ibi dido , Ulohtts cadio» pev icf tni»- 
ini^s excipe vitrocommuafeonice excavaco ■> & gratiofunc» 
ft»rui»turbihem mplano oppoikocfeping^r. S»aMem.eiw^ 
eonili^erfrciem convcxam radtis tr^onoruin priftn^umiapi^ 
cucriiWariequeeiusfitum mutavcris» miracoiorumpbiliiuo» 
oculoqucgratiflimavtdebis. Aliarpe(5acula vidcbis.fialiani» 
flgiiiaraia^acttmKlaarum pellueida corpora adbibebis.^ 

^^;t»^ARASTASIS VIIL 

fnfine^kc^iloriipruPff^e&acuknfexMere. 

€Mfipr» Viavitas.b^c npn ita pridemqwbufdam Pi-mciplbmvi)*liBo- 
jfeSkcma i^nemineottcrifavmagpumfui renquie defidfcrium. wuc 
JJIj^lljJ^^f^tieftrascEactavJrorcti.naa: tumforaminibus aciculaBgef- 
'Ibrma quarumvis rcrum imaginesifii ruciseefraA^ ffft«w 
flex»miraculafercijpies. Qu6dfiIiiceni»"SdfeariatnW^^ 
dilhntia chartam.quopiam colbre faturam,ftbeftri8oBveitJ- 

pro coh»rum in eacharMvarietate amoeaiffimas.colbrumaiR' 
«BfttiaSvitttaeriliccbit- 



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Mj^a Dioptrica» ^69 
P A R A S T A S I S IX. 
X^icuiim flenHtnfigtiris uvarum^fru^utOffyAm^ 
maliumyaliarHmveqtMrimdihetrmim 

exhibert, 

CMhicnlum 

*• rum,qjuastamen IatacflcdcbcDt,&fafistapacia^ ^'^'^"^^'iili^^ti 
Bccefle cft, ut polyedrum fiatex uoo frufto vitri, adt CryftafHiin ^^*^ 
?arias fedesaptati>icd fufficiuot varia frufta vitri>.itafibtcdffN 
miffaAituQum polycdrum referant. In fiogfilis buiufcc polyc- 
dhlateribuslcufupcrficiebus depingatur eadem rer cuioscunq; 
rniago , 8c in tra obfcurati cubiculi teneftir^m' accomntrddetur. 
Ubi eoim folarc» radit vitrum pefTCtraverint, f^cclcs hti^nis 
diiMi^ar.jqxta latcrum murtitudincmmultiplfc65,'In opji^o^um 
obfcuratr cubtcun parietcm trajicienturj unde totun^ cdbicu* 
lum apparebit plenum ima^nibus uvarilib,fi uvas ; fcrpentum, 
/iferpeutcs ; aliafum rerum»ii alras rcs Stpixmttis. MelroTcm au-^ 
tcm fucccffunvrcs habcbit,fi^fpedcs pcr ibtdt^6diam ieoteiki' 
vitreara,.fcu vitrum mefiDfpticum^dequofupraioMagiaCat^ 
iptrogtaphicalib. S^Syntagp^r cap.ixxcipiantur» 

P A A S T A S I S X. 

nMhi^Ucafam. i^^^ 

CiCjpeiafiiHieotfooem fecimus vJtrf feucrviklli P^V&lrhSic^^^ . 

'^polyoptri Eftidnibi] aliudquim Cryftaljifruftum>una pM-f^^nl^ 
•eplanumkaltcrapoIyaJrum , koc eft, multarunv fuperficierum fuidi^ 
Jti^tRigii totimvita ui» (upcrficics non i o uaojacean t pIano>(ed va* 
«idfiiithMrfioatJ^. Unde f)t,nifi oculopars planaappHcetur^Sc 
ebje^nn* alfq9od< afpiciatuc s; fpccics obiediadomnes^fii^ 
perficieSatfaipKe^Mri^ rcfringantur,& variis viis adocdrreci ojfl» 
ycgvenianr,jcinsdemqucrei imagi nes multt(|tice&iacef lediffins^ 



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470 Pariifi Lib. IX. 

ii€pfogatic,ficqoe reseadem firpiui & ▼atii^nl lods fica rcfirt- 
ioocecur. Si eoim hui usnKnli cro nummumiauc pomufn » aoc 
digicumarpicfas,cocapparebuncoummi»pomaidigici,qaocpli- 
oa di veria \cu fuperficies habueric vi cram. 

Eftque hoc inceralia jucundifllmum vifu,qu^dquircfn2i^ 
cefepoficam»8c cah polycdroinfpedam cangere cencacmufl- 
<]uameam accingere digico excencoqueac, cum cocdigiciappa- 
reanc,quocreiimagines»& difceroi nequeacquafresquodigito 
ficaccingenda. 

it$gHUMd lofaUibiHcer camen rempropontamaccinges>fihancfertes 
riin viTMm reaulam. Digicum quemlibec apparencemexcende verfusrcin 
foifUmm appareucom eidem digicoproximam,& rcm deuderacatntao- 
MtfMiintim £es. fUcio eft» quia cum dfgici fpecies feu radii in vicro polyi!^ 
^•^'•■^•nradijeadem via ad oculum8crecioampervenianc,qui(pea0 
feu radii rei propoficx s & confequencer per idem vicri plafniAi 
per auod res propofica ad oculum defercur , deferacur cciatn ai 
euodem oculum digicus \ ucriusque radii verfus eundem locuta 
dirigere debenc oculum. Jlle ergo digicus eric vici 6iinmus tA 
propoficas, verfus q^emcuoqs locu appareac» qui vicf niflimusro 
apparetSolenc huiusmodi polyedra vit ra in confpicilla apcari,Dt 
nafb fuperponi ance oculos queanc»uc confpicilla ordtnarii. 
Alta regula hxceft. Vicrum polyedrum an ce oculos applic^* 
AnMVigu- oam vercein gyrum>6c movebtmcur omnia obje^da vero cxc^ 
^ pco. Digicum ergo excende verfus iliud quod non movecur. 

P A R AJ5 t A S 1 S XI. 

Vitro folyedro imagines feu fii3uras varie Mjffott) 

diJlifatMrecoJligere. 

ritPifiht' CUprilib.3.Par.t.cap.5.Pragfflati. docuimusmodumdiflipaB' 
dnpiihtrm '^di imagiocs.quae aftichrzdiodin&oh cerco locp it^pedx» 

fbrmeatur. Eodem lib. Par.t. Cap.i. Pragmac. 5. to O>rollario 
rtt$utgtn. ^caiimis^quaiatjoneexdemcatoptrfc^radio rcflezoperrp^ 

culumr efbrmari^ueant. Nuncdocebimus, qua ane dioptfl' 
radio refhido iouigiDes diflipart atque recolJigi dcbeaoc, lO' 



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If agia CHoptrica^ 471 

Yeotiim cft purcberriroum &Yalde jucuDdum. Ac€ff>e tubum 
fettcylmdrumligneum^autDapYraceumABy eiusqoeori a ift^yu^p^^ 
^re yitrum polycdrum>feoorainariis makss^&latiofiriiabear^ij^^'' 
plaoa > os aiitem b refinque apertum,Sc nudo diaphano muoKoif/xxiii^ 
lam. Hunc tubum coUoca fupra fulcrum,ante planum Tertica* 
liter eredum in quo imagipem diflipare defider», & anife 09^ » v 
ftatuelumen c luccrnar(potius»quam candelar>quxdecrefi:ea« > 
doluminis appofitipunda /eudifcoslucidos per poly^drum ti- 
trum tra^^os varia t m objedo plano ) quod radios per tubum» 
&polYcdrum vitrum a trajiciet} radii verb indido vltro va<» 
t\l retradi difpergentur ^ & tn varias abibunt vias^pro vitri fii^ 
l^rficierum numcroac £HCu,atque tn obje&um parietemfeu pkt- 
num profictenc htminofas areobs > feu diicos lucidos mul^ 
cfpUces , ;ux^ figuram & mimerom planorum vitri a.. No> 
taergodi(!las areoIas>easque delebili aUqoo colorecircumda;^ 
& rublatolutimie» pioge in ^atiis areolamm» qpx Ivbiu kmt» 6c 
tameoconnexionem aliquam ioter febabeant ; pi&uras^fie in^ 
terfertis parergis unH&cer fe. His peradis:,fi extra tubtttn^iofpi-^ . 
€ iatur pi^bra^ multifbrmis ea apparebtc . propcer partesdifper*» 
fasyfle parerga ihteipofita ^ac fi cubus ecidem loco & &u reftitua^ 
rur,& per eum pidurainfpiciatur : formofa apparebt t,atque col- 
lrda>auia un tum videbuoturqttx iDat^olisdepida fo£re. 

Ha^artenon ita pridcm , tefte ^^#ik^7^^rfy^in Florilegie 
Matbcmat: trad. la fe^.8. quidam efibrnuvit SolHs imaginetir 
fiib fpecie Apolhnrs » coi varia parerga incerietra efficiebant > ut 
iriderencur (ex aliorum planecarum focmat, cum bac epigraphe : ^ 
5#/f LatfH^immi. At vero per dioptram poFyirdram fola Apoffi^ 
ofsperfedaimagoeratvifibilis>cumBoclemmate: Sok pstentf 
ZiirW. EademarteexhibiumvidiRomacinfiibliothecaDom^ ^ ^ 
PcofrihriniaginefoS J^atij Loyolat. 

Aniel Sch wencerus^ 2>^£f/iiir MMihem.fsr\.ttndftxydty fefit^ 



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472* Parti» I. Libcr IX. 

fimm, tnluim^ ff^ forme» infmettf^tmiireiafffm^p», 
; J^4miUiiiumin^efiiidfm9idonecfer0rbkuiumtff4rerer>exmm 
dti^fde.erl^ni»etitbf»eodemfitHmMenteinMdummi$r$mfi^ 
4f/f0fifmtifeytuImmaffdrM][e. HAf rAtiene futAtfitisfieriftjjeii» 
j^mfilfi freifefUAyHUA fiiUcetrMionetiHi^um in^mete , vHmk 
Jfimff%m^v'tdereft^ttom».kg^^^ 

PARASTASIS XII. 
Tila cryfi^llmarepr^fintare minma vt 
maxima. 

TiUtry- |Kfi-ji dkeinu»a|iqoadeMtcrorcopio,qiio ifilpfraa 
ir^rilZ' *^ltt« majuma iacoeaiuj'. SimUem eflfeaiimfM«ftatp>^cf* 
mmimM vt liua auda. Accipe igiturpilam ci^ftalUpwaialtenwgmtiii^ 
& circaeiusconvexufBfUbi lubetimiQim«qi«<rque,puUM 

dpponico > vel alBgitOiCumcx oppofica^arte oculumpnpl^^ 
piu&Admovetoi videbBaoBjammtoima,redmagoaf,2<;u;iP' 
mis vifibittbuf nunfnM ettani inyifibilia parfpicie^. $i 
pilamap^icavensiQioutiiffimisli^eris , icaufie»fvet^|»l^ 
iamocuto kmoto appaaabuuc e« imi9»oi«; ipiagoituaioil. 
tinut» 

PAR.ASTASIS X ( U- 

^cmfink, aliamverem , crefientemac mol^/kmftfrt- 
fitntiii3f^diMytt4/vitm.fotfC4rvu. 



t»mim 

■trtfettmu 



A C.cip^dfio vitraconcava, quibusMy6pespro perfptcHbi; 
4Uir»fc€n4 ^ t^iotji?r,&itaconiungc, utqorumcircHmfei«Bti«leii""» 
rtfrtftm»- <ppji;ingaQt|prouciQFiguraapparet. PohedeindeaotewpoiM. 

& admotisoculornmuniapefto (claudcodoakcruftij vit»»*| 
Vidc Fic fpicepereapomumitt,utmedittmappareatperaDg»««c B- 

I lconii: ne vitris, extremaverdpervitraa rfempcunum per a, awn" 
wiv. pcr B. Protuberabuncmiruminmodiimcxtrcmitatcspoflji 

jamque non rotundura , fed obloagum apparebit pomum. 

jnovcdciQdcyiuaaboculoYetfiispomttm^itcruiW^ef^^jJ 



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Magiai Dioptricai 47j 

ic vfdcbis extrcmkates eius^protuberaQtesnnftcacccdercnunc 
recedere » medio immoto pennatientc. Multa limiliapharno- 
jnena tucepropni espericmtadeprehcodes. 

PARASTASIS XIV. 

JucmdaJ^e^aculaperJ^icillis reprafintare. 

pErfpictlla ordinaria quibusuterts^feu concava, (eu convexa, ^^ifumm 
^ applicaanteocblositai utduo vitra fintin diverfisplanis, ^d-^^^'^' 
coqocdivediasui ocul^srefradionescaufentur ,unam inunoyal-^^i^j^* 
«eraro laaltcro» aitiusque in unumlpecies jaculenturi quimin 
ali^m. Hoc iitu peripicillorum aipice quodcunque obiedu, 

£fop^>aatproc&lpoutum,y.g.homhie9i,domum>civtutem. Sl 
ominem afpicies» apparebit i$ biceps » & quadrimanus» habens 
nnwDcaputfupra alterum , unum pedlus cum brachiis rupra al- 
terum. Si ferteniintegram hominum in rubfellitsfcdentujm a* 
fptcias» videbJsduas eorum ferics,unam fupraalteramvclutin 
amphithcatro. Eadem ratione yidebisduasdomos^duascivita* 
4c&>Qcc.Rem farpeexpertus fum magna voldptate. 

Eadem perfpicilla manuapprehenfa tene rchiotaaltquan- 
tulnm abocutts»contf a doraumt autarcem^ita ut domu^ppare- 
atper vacuum ioter duovitra fine refradione v videbisque(fi[ 
paululiim decltnabunt perfpicilla verfus obiedum) tres domos» 
unaminlocofuoialteram prope>tertiam remot^,omnesdiverne 
magnkndmisi £xpertusfum^pe,£icaIitsmonftravi» , 

Si in auiaaliqua fedes> & 4 tergo feneft ras habes } manu tene 
vntete confp!€ina,utradient in eafbiieftrass videbisqueproVa-'^^ - • 
xla tnclinationeperfpicillorum variaseiufdemfeneftr«reflexio. 
nesio vitrls, anasfupraa]ias,quafdammaiores,&propipo- 
fitas>minoresalias,& pofitasprodiL Mulualiado* 
cebit te cxperieotia; 




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474 Piiiti» r Lib. rx; 

PARASTASJS XV; 

TilAcrySiallmarepPApm 

cUmalujimJuM.. 

€^amk pilam.cpyfbllinam intcr poUicem & iDdicem apprelteorai» 
^iw^t». alium tn conclavialiqdo variiircbus & piaumcior. 

Hf4^mtjm Dato,&videbishemifph»numincegrum repleri rerumtmaaoi^ 
e^mcUvi, bus vario (itu.qi^^dam enim erunt eredat^liac inverfa^quj^ 
curvap , omnes in minirna fert quantitate^ P^rra lib. 17. 

Nlaturxap;t;:aitiPofriietfamcryfhllina pila^eri iKpenduh^ 
gainaerevideatur^tam-antciqtliimretropilam.fia Sitv^r^ 
tropiUm^m&dietipfr intrsrem& padtim.A^Mrebi^imMgi^extmjm 
indireftndens^prdpikmremmbmfdrtibmM^ ^ 
ferjpicuh ^tifidfiyifileintra oculum & piUmfuerit^ wdebitwm^ 
retroftUm^vt diximm^ SiviJitefueritmdxim^wJibilefVUgnkM 
tsndeU\resJinedi0culiMtei(ircUrior^idehitur. iUaipnesinOpm^ 
fignavimus. nempe iib.i deRefradione,ubi depiJascry/Ufair 
reFradioneagft^ Egomillies remtenuvi,& altistentandam» 
dtdi, & Qunquamiimilem efiedtuffl expertus flim« Ratioum 
^adet>£eriidpo{}e» quoniam radij r^ddf coQCQrniiitaBieYd 
^o(lpilam>fiobiedum pQft^elantecoiloceiur. 

^AR ASTASIS XV 

^ilaciyfiattwamukMm 

cjtj^Mm jr\.0^ Ibcocithfsyerbis. IBtMt^mriprumfornMfk 

fihif$fr^. ^^Jlftidd^ftgUndismMff^ituMt^.dri 

^^^'^'JoHnt vitrar^y vtfine rotd ofefrprficiiSixterior.f^liiij^ms^vVi 
f(rro tdnfftMfeVme^turffdiculm NecrrfertfiLvitrumrefmfi^ 
r^mimfurunometimerU.^fjofmu9:JufrMcs4um\Vr^ 

ditns : Unmen vejiculis rej^affuminfimtae irides ofittodet^ gjf bh 
mendnreumtotumreddet^vtniljucuns^mcpMT 



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W^t Dioptrica. 47 f 
PARASTASIS XVII. 

cfyftdUino vfnhascMtr^ Sokmfroijcer». ^ • A 

CUpracubictv(blUiutaa<?revelutfufpenfi,aatlulaoimpofi.c,y^ 

11 , fopd^ciem &pcriorem pone cocpusopactoroquoaquDr 
aue.Sole luceote. Radij Solis, corporis ©paci umbram ambiep 

r^adipenetrabotit, &periDfer4oremfuperficiemegredi.^#*<««. 
entur, verlusfolemdireai , «cumbramcorporis^icipropio. 
«em foltftatuent,9uimfitip(umcorpusopac^m. Rationemdat 
Xff&r** in DiopiricaNuro.14. 

SYNTAGMA lll. 

^elhmnatione.&C^mhuftiomDroftricafer^^^ 

.trayaliaqueMaphanac9rl^4' 

Q[Uftncafitfoeculorum vis ia illumiDando &comburcndo per Di^ftnf 
:«dio«rcflexos,fiis^explicavimuslij> TjnMagiaCatoptro »5^^ 
€aaftiea.Non minor . imo maior , certetacUior ac ccierior vis ad 
frtimpnBftandteftcorporumdiaphanoruro, lentium pr«fer^»«i.. 
tim &lph«rarum vitrearumfcu cryftallinarum, atmultdmaxi. 
«1% hypcrboliforroittm corporum , adeo utlongi hypcrbolicae 
fcaionrs vim«xupcrent. Namrefraaiopcrhuiusmodicorpo. 
xa habet & radiorum unionem, & multiplicitatcm, qua cttretrc- 
flexioiundcmultdremotius, &validiusignispotcftperrefi'a- ' 
aionem,qu4mpcfteflexiooemproduci,uiiiexloqiientiba»pa- , ^ 

^"^** CAPUT PRIMUM. 

QeQy^hiMtmfeuvitrea^ntiSyfiU^aliorumqM 
^orumdiafhanwimi&uminatiMeyi^t^m^ 
iujitone. 

A Aenaeft qryftaUmacfeu vhrea lentis tn iTlufflftiatfdne & cJ-J^^ 
JWb&Wtocw&«fficada,&pa«risetiam^kbe^ 



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47d Parti» l Libcr ik. 

. buinota f qtii canim ope adfiantium pitcos ac vcftcs ambytee^ 
lc nM^cai peiTi«riftl9$ rcf«i)Ms^ttftulaf Ciali^^ pratftart foleot, 
quas olimvix Pr«mcthcum pracftitifTc crcdideirim. So\z tamcQ 
Gony cxie lcntes> fcu uttimqttc r feu uoafakem parte , prard^ 
rimhabcnt , uti fuprl^Syntagma.cap« j.num«7.diximus » qoo> 
nlam eit folCimpoftfcradtof cogunt ^ ebpropiCisautremocjos 
k fcqud maiorts aut minoris fph^rxportiootsfcu fegmciKafQ^ 
rin tJaoc eft>qu6 magis attt mmi^ fiitdot conrax*. 

P R AGMATI A L 
Lente convexa igmf/i accendere^ 

Limt$t$m> jrTUiusmodi igitur lcni»sSolipcrpendiculariterappofiirii» 
^M^uOnZ oppofita parte, ubi coeuot radij; , combuftibilcm matcMflV 
" appofitam acccndant> plombum liquef^ciunt, & mccallaigi^ti 
redduntiidque malt6 citiuSt & vehementtusiqu^m ca|ica«lp^ 
culajequalruno cum lendbus ^bacrjctcatunK PunduniiCoiKtt'- 
fusrddiornmdcprchendimr , ficombuftibile tan»diulcii0ii 
^ moveatur^ac removeatur^ dobcc in co appareatmiauiuisdibi 
lucidus^ 

PRAGNtATI A.ir. 
Lenteconi2exanQ^t4,remot4^toca.iJlumi^ 

nateu 

VlOducfeiamrongiilluminanteardemlcntcii ^Tamfipoiutor 
"I^^candclia poft lcntcm tn pundoaccenlionis» ioquo radiircr 
fiadt,(i candclaan& ponereturacoajni, radioscandcte 
temtranseuntes»6crcfrados>ja anccriorem partcmlbD^ffimi 
Jaculatur paralklosi ut faacartctranseuntesperpIacca^iOCqfla 
fiicrintinambulacris longiftimis , aut in cubiculis > autlocisaliis 
longi remotis>clar^ intucri quis valeatQuare &qui lcntemma- 
nu tenctific poftlcntem.candelam \ potcft lcgcrclittcras iieloiK 
^ di flTcas : ^ qui remo tus cft \ len te, cafd cm ab ca iftimfiu«s 1- 
epo&crc aclegere fincdifficul^^ 

, €00** 



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cpfiAifiucusIitteraslegibilicharacterefcriberer, Sc noclu fene- 
ftrx exponeret» alius.vecp ejccra carcerem conftiputus leotis^Sc 
eapdelacof^^adiosedklili^ t poflcccaifcbsni litterf 




k 



poftcandefamponatur fpt _ ^ , . i 

ittC^Xpeculum &l lentenitfQaiMif emfuccj^flurobabcb 
facbj^llJiftreflexi iiiteftwnic iiim i^M ii^ ^fcjpy^^ 
buot^ . * 

PRAGMATfA IIL 

Lente convexa noBe mtempeHaefiHoUm^ ' 
ugere, 

pOoataiLepiiloIaretro reimA in oppofico fiderum, aut lumt- zmuttt»^ 
^oiimJooge rcmiQfcOMra ♦ Ufktnin radiorumcpi|ulittcr«claK^'*» 
pM^ictenMuifOo^e ioierop«||ip(8( in ^bicurol^Q^i ita PortayqfL 
mdwttSixd^iuitutm udrapdit, quxtamen nopnifi leotibus ia- 
tiftt^lima^O*'» au.tmaiut>usindebitadiftantia afeinviceili 
apf^cam exm cubom > coo vcniunt y cuiusmodi fiin t .* Lentecrj' 
fidBmi UntifUitu froxitnA >videii%^teMUeMdm^lt^kmreTnotam le. 
gerty&c^ Sed eapoftinventum cubumopticum communiajani 
iirot. Oecoboopcicopofteacritrermoinlil^ro reqi^enti. Qua 
caiiiooe.ope Ieoti»coorexs iot^^.gB^icft V i gj p^^jB^^r egrte- 
fisDtarite pingi pofBbt rcsjsxcr ' 
tuf 3,& lib.4.cap. Piiraftafi 4 

- PRAGMATIA. m 



/accendere:. ' 

Plla SoU<^pofita, retMjclrca dreamfiirentlaiirancendii;igB^.'cr^«ffm»i 
£a4lem,Portateftfc,iiviK£r#/f«jry^«r»^/^^ 
firitfffi^combnJllt. Xui^itk yiritJtMiiftte^lm hofiiMmxQmhurere w- **"»*"^ 

OOQ Imm, 



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AltmU 
aim cnf 



Partit L Liber iZ. 

iirtiJlimiignemAccenmi. Porca lib. 17. MagiJB Nacuralc ly 
* \dim ih\&imcA^.9t\t : Cjimdr&cfy 

terimishSali ef^onemld yfedfmrdh & tememMm nm in ftmSo vma rdd^ 
omnisceemtr/fidinlines. 

Profequitttr Potta: EodemfirimodePyfMtidecrjffoibmMemn' 
hnrereJoUmm-^Umen ttiMmrircdlineMm^i^t,^^ Hmm vice^sebo Or 
ifUdftenon/ttfHerimm. ' • , 

PRAGHATiA V. 
. iiAUrf^icumeaarteconftruere^vtfoUUntm 
^nji^ Urmncryftallinarum ofc maiorem in dijidlando ejji^ 

caciam ohtneat , qndm sgne 
n/alsdo. 

COnyexa:lentis in comburcQcb^fficadamumaiiiieffe^qttiii- 
cam Pragmat. (. dixtmus 1 confirreat jP. Kirchermhb. fo« Lucif 
(cUmb.Par.j.Diflindj.Cap.i.Probleni.i. ubiait,fibilca€Mi 
efle cony exam rauam e^o jrptid ipf^m ) qu« noo itcoa oo* 
t^m^alfaque a^<i:t^ & plumbumliqudRi- 

ciaV MuUo autenl maiorem vim babecpiia cryftallitia>Hit oota- 
i^i^ifciam Porta. 5/i/4f«r,aitKircberusloc.cit firtijpmoigneofm 
jB^iRi/ alemhicii^termJfhdricmtXMre^vel flumho , Mtnntro \ dns 
qmmAfplicentmr^veliemes/t^fiU&yltolUnx^ 
$emporefimfern/[foricfito fufe^fkiem ventris d1emhuitrrddi€t\x^vh 
dehis effedHm mirabilem : ndm totd die dUmhici ventrem itd foienHr 
xdleficietjVtcdhrddqmdTj^tdemm^mntdm^eJjle^ 
. fufficia. Tanta yis eft lentitim ac pilarum didarum. Unde Me- 
^wijr d^^» tf adunt^ut Porcatqftatvr »<ni«i« cocporeMrendt fuot , non 
uttiiiis pofle^quim cryftallioapiH a^y erfus Solis radioS oppofitl 
Kequiritur umen Soiis calor vebementior, qualis in Siciiia , 
J^a,aliisqi)eProyfnclsjcaiidiofib^ 

in GefinMnia^& BorealH^us R^ioAtbuscile^^ 

PRA- 

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V< cryftadlioi$>candcip cflfc cnbucndam fplucris Wtrcisllmpidif-JJJ/^ 
GmSi a<)u^ jrcpletiStCXpcricDcid docuicmultos. Quare fi pila dclit«j^3j^ 
Yiccm cxplcbit phiaTa v itrca rotunda aqua plcna>& foli oppofita. 
Si coim rctrd , ubi rcfradi radijcotfuot, aliquod igois^micum 
6anftituatur,illic6 igocm inducitt non finc fpcd wuum adniira* 
tiooc f ciimcxaquaetiamfrigidiffimaigncmexcitarividcant; 
quod omntno paradbxum inexpcrtisvidctun Debcttamcn&. 
bjcSoIiscalorcfic vehcmcntior^ &acrii ventisquictus« Atque 



cavi iorijspofitllumen copiofiffimuflh adlo^ngam diftantiam cj«» 
eulamur. Hicdioptricam damur, quarai^ndcm cffcditm pra^. 
ftct. Fiat igtturlatcrna cuiuscunquc figur2r9& cx quacunque 
matcri»; Mtli&s.tamen crit>fiexmateriaopacafiat»iBC'CiusK>r- 



cryftaliinam^tam tntegram,autdimidiam>lu ut cohvexapar^ 
fi>ras promin^ > cn tquclatcrna ronftro^a. Si cnim intus lu^ 
mco coUocavcrtsin tama altitudinciibafihtcrox^quaotiabca* 
hafi dtftarcentrum pilx^oftiolum^? ctaufcriss cjaculabitur lu« 
mcn Intiis inclufum untum fplcndorcm|>crtraosparcotcm cry^ 
ftalloiti^ ad tantiim diftantiam para}lel«^ procedcnfcm > ut te^ 
ocos tatcroam littcrasto ea diftao tia coltocatas lcgcrc poflit : io 
Qidfim , qui latcmam teoet » litteras altcri diftanti exbibeatv 
iboDicgji poffioc. Si |;ra:ttrca fplcodormi in obTti cuiufpiangr 





Tulcuni 



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4«^ PsutitL.Lili. 1% 

Yulcum ejaculerIs,«<>gaolce»euai,& non cognofc^ris ab eo.ut 
etiam dccatoptrica lateroa diti. Si intralaternaro poft lama 
pofuerb fpeculuita conca vum , «ugebicur lumco , ut diximuslb. 

PRAGMATIA VIIl/ 

(i^achinam c^nBrueri y qm ad datarH quamlk 

h&ramlgnemmaraptfcm^eandeLuamti' 
' datjferaBo^facrifiaofimmefficiat, 
qm ignem fuccenfitm ex- 
tinguat. 

'Vitptrks \Jl Achinam hanc defcribit P.KircberusKb.io.Lncisfcflilib. 
t^MchinM i»i Par.3. Oiftind^.-CaigM.f fobleiti.fvfol..88^. & nos exifilom 
McchaoicaHydrauIico.PncvmaticaPartci.Claflei.cap.3.M* 
china 15. fulft tftuloFoi^shorarii,his ▼erbis. 
Vide Fig. Fiat jnrimi b«6s quadratt a b c d, ex «re,cupro,lJgina 
ii.lGMMi. ab«quav4&roateriaMida,9clioeis cd,ab per mediamdiviiv 
niinv* tttr.ittFi^uw moi;iftrat»quarumco. rcpnefentet.lineamiiittl. 
di«i4min plaA« I^arivpnt^It, a^ -verd reprjefcatetconuiw- 
saimf«SiQa9niti£q4^9ris&eiusdemplaQfhorizoacalk Fiu 
dlr//f4Arc^aere,aIiaT^materiaIoIid^imbusalicuHjs{einicitcuiiA 
adanguio^ reaoserig^turfupra merijdianaro liocfra c o» liiir. 
m«turii«!4ulQ<;Q9iaveri noo ppllici^iusmodi Jiiiabufflimix. 
fiaiiCASiqpii«<fS{)ci:F>g,$trcus ckd, ii^el%acurpQipeodicD)i. 
riter vt^s fijpra di^am Unearn co. Hiclimbtt»diTidittr 
io dUQ^quadraoces, c k, 6c d k i fk quiltbec quadcans dfridatui 
to9Q«quMe5gradus»initio divtlionjsaqn.mneraciontsiaadl c, 
^k». FiAC/*»<*«<?xeadcmfoUdamat«»aIiusliinlwlfli)i. 
cwctili-BiAA. diwAisJnd»o^ccimacqii»l«sparces,veIutin(ii». 
decimbor^sapqiiioQdiaicvica ut |iora^duQdeeima/Ic in niedio, 
«bi H, horav«r6fextsiniacttCinai»cipiac4 b, quamdeiDdeie- 
^cur(epcima,9dava,Qooa,&reliqu««Mfequeocer. Deixt 



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likremldrcttlilimbttsfupralm^ ab, ouadrad a i cb» iu 
coapuri verrebris apud ji & b, ut circa iiias veluc janua circa 
cardiocsverci>&ruprafeinfcircukiro C4lb pro libitUQuncele- 
tari^Duoc depfimi poflit , 8c in qooconque pracdidi^eitiicircdl 

fradufirn)ari:qiierainfinemcochle9lisapud a&b inftruide- 
ec; Rc^mliicremicirculus bma, ^quacorem>& ca:teros 
^olis paralielos>ideoque verfacilis efledebec in vertebri& fupca 
Mcrioianum c<d» Qt cuicuoque regiooi applicari poiOc» 3c 
iiQiuscuiusque Parallelifolaris akitudinem meridiaoam fufcipe- 
re. Huic porr6 femicirculo ^quiooftiali iaferes dtiodecim 
Ipliasrulas feu pilas cryAallioas io pundis duodecim faorarumt 
ttautptto<9:aiiorarumipficeatro pnarum refpoodeaot. Singu- 
las vero pilas cfaarti fttbtili ita obducesiUt miQC illas tegere,nunc 
det^ere pro libitu po/fis. Fiant quoque prxdtdi duo femicir*. 
culi el pitoportione ad vitreas prtas,uclocus uftioniscentrocK* 
^orumiemicirculorum perfe<5l^ rdpoodeat. 

Offlnibus hifceprarparatisielevettirfeflMcircalus ^^oiiM^ 
^ahs verfacilis ad iHum gradum dedinationis Solis in quadraifr» 
ce DK> Meddiani ckd^ quemecrdieSdoccupat^quofpeda- 
^ culum exhibere vis > s/cocbleis (uis firmccur >ucmoveri amphi!is 
fttpra Meridianum non pqffic i tota^ue Machina ope magneticac 
pixidiscollocecnr aftronomic^,icaucllnqa cd refponoeacMc- 
ridianoloci^&pundum c refptciatBoream,pttn(Shim d Aik 
firum. Deinde poficofomice m cencro didi femicirculi JEqidm 
nodialis>applica nlafulphuraca candelis circumpoficis, &tegt 
fingulas fpharrulas charta.praeter ilkm, qua? horam,qua fpeda* 
culum exhibcrd vis> re^srt : fictquc» utiimul ac Sol dacam horam 
accigericfoeuspilxuftorfjeiQcentromateriacombuftibilemac- 
ceniam in fiammamcxcicet , fiilphurata filaaccendat » reliquaq» 
omnia contiQgant, ficutpraedidam fuerit» 

Fpotcm autcm horarium fic efficics. Acdpe phi alam vitrc- 
am xQHp Jabrofuo ch inftrodam»&perciuscolIumadfun-'^' 
dam usquc indc caoaliculum x f» qui taracn fundum iiog ai* 
tiD£aC|fcd tanaimabiUodi^Y utaquaiau^ 



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4*a Bjtf^>, XiBefct^: 

f^ofltcs OHfittufii abtem' plrialds huius f ta obttrretirr circi oa^ 
laaliculdmjUtiiibtl aerisaut aquasexire, ^iitintrare pofl^tm phia- 
lann ,niii per canalicuium. Mmt Machtnulam feple a<|Ua ad^ 
tertiamcircitepparcem ,&coilocaincentrdfemicirculi ^QUt- 
toris, ita ut renccr phialas refpondeat ipfi ccn^tro.t His fadis,diHft 
Solis radii dd datam horam percuttunt fpheetul^m detedain,i| 
refrac^i pcrcutientphialas x vcntrcm,&moxinclufu$ ificaacr 
larcfaAu5expclkt,&in^tumpro/fcietac)uampertanaiiculufli 
X Fi, qusdcctdens in labmm j& per labri foramina fcotubulw 
in fubje<9:am flammam> iilam^xtinguct/ Legc Annotatioo^ 
«oftrasloc.cic 

C A P V T ir. 

l^e iUuminattom per vitrHm J^u crj^idUumJdliai 
ftartc Jryfierbx>&firnte.. 

^rMt- T7 Itrorum f6rma,quaha£lenus ad combuftioncm 8t firumioap 
f$rmuyitf% V tioncm ufi fomus , antiqua eft ,flc antiquitf ctiam nota, uticx 
*th£.^' r//^/ifewii1iroOptica^,AudorePcrfpeairxcojito 

multis colligitur. ^ 

Novam nonc vitrorum & cryftiHbrum ftrmahi tlicctifl 
Natura veterrima fit, utpatcbit ) producimus cum P.tMmoia^ 
tino Apiariod. Progymnafa. acap.^. mixtam ex fphaa-ica &hy- 
pcrboliformi,quafitiUtaQguius opcicus fcu viforius crcfcatvdtf- 
mentcr,&vifiofiatH:Iarlormdt6,& dlftiiidior,OT4mpertoite 
acfpha^i-asj^ddodis nemp&omnibus radds refradis adufium 
j>undum ^ i quo pTorimi in alf is figurrs divcrgpnt; Pfo qtia rc 
vyUTiflHM^ " Rccoiendomcftquoddixinwsiib.2.vtfioncmci!cinitufalefl^ 
'IJ^^^/^/^quoodamirfbmOioptrrces, fl&naratam titttrryftidlrno hliiBort 
dsnftrtcd. ^^^g j cryftaiiinoquodAm dTapliano,QtTeruiii fimtflacra 
id transmiil^in retioam^ ibi abi-anima pcrcipiatitti^^^tiQafi ^ 
gantor^ucBcttinus etiamadvertitlocoproximicitatd. ncqw 
tioimajiferpinguntur rerutn per puplliam ocuii radiaittiiJinift 

• - - • * ' f?^ 



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Migiaptoiittica; - ::4^ 

7>er buffiof cmif cfyAalUfium > aKosquc refrad^ penctrantHim» 
inriagtnc4iQiu9ddQCu4j,iiopeft>io rctiaa>qii$ttein muraobfcii. 
rati cubieuM ,^ttmf^iis f>«r foramcn ficicotem cry (lalli&am re« 
fradeedttsqiM ftenctrant. PucjttAaccmrBettinusicdcprtlien^ 
dific,cry(bl^i in oculo h»m.of is iiguram bo&undiquc fphatri» 
cam auc Lentj^ularcm c(Te ( uti nos cui^-flerisque Anatomicis 
Scripf;oribu$9lkruimus<4tauviiba.PrielufLArt^^ 
iparte^pofterioj-c fpc^ai^c ?crfus retiaam i (ed ab ea parte tfle 
hyper^lifi^^iiiv ^ Cuni igkur Natura in ontoibuspetfeȣlia- 
uem attedetscen(uit/hypci:b|^kiFctf me iiguramjaptiffiaiam c(ie 
ad obj^apcreatp vifaanfipIUnda,^ quamclariffim^acdiftin HypnM- 
aiffimcrcpracfcnranda. Scdquidquid fit dc Bcttini fcnteotia^J^^ 
citc^^&iiXiM^^n ociilohufpanobumprisjfigurana^; utiqucillajjflffi^ 
%ura dl^pJMoi eft aptifiima ad praeilandum quas diximus> c^Xk^a^^^^m S 
radios ibtrafcirefrados ( HL^fijpsurztleli incidcr iot^ fivenon ) pcfft 2^*''^ 
«grcffum coadunat in unum pundum. Talcm eficfolamhy. 
pcrboJicam > aut>tUi ^iroximam , demonftrat KifUrtis in Parali- 
pom»ad Vitciloncm cap. 4« & nos aliqua diximus hac dc rc fijprik 

itbjr.&yiHagni«)M:apvf .pbf$^^ modunrpra^fcripfiow^J^^cr^ 

fam lubitacmagnitudinis <}cfcribcBdi« ' Hauc igitur fi in 
miaa aliqua senca dclincaveris>&abicifijs partibusquascadunt 
extrahyperboiicam^lioeamyoppofitam partemin Qbtufum fou 
maycrf$/^inentum arculi> ^asqtic fea moduium indeeficceris;» 
^ vitrum ii^Ci^ens> poHy crisque ; htbebii idmimhyperbotifois 
jhe dcfidei^tum- VidpMHBfm loccit cap. I. 

His p):xmifiis>quod fpeAat ad iHuminationem f tmtm MjfirhfU^ 
iypcrbolifarinp^ca duplicitcr iicri poteft, nempe vcl apuudoil ^firmj vim 
]umbantc>^u6d per ipfum riidios tra;edos emittat V^^^^^^y^p^^^ 
veiab objedo yaktf amplo^autfi non amplo^kcnKemedffimi^ff^^l 
coUocatOtiioderadiiy.cr^ & quafi pacalleliproyeoiao^ 

pcr iUu4^^^e£l| eii;tra cc^antitt' teipuiidumummA maxima: 
jllumtoadoois* , T 
Ad frimam illdminadenem quodattinet >^am ab b)^perbo* 
Jifojini yitroiiaberi>& abtrofol^m habcri ^ demonftrat BcttinusixMii». 



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4B4- Plitttt l LiBer 1;^ 

Ioc.cir.Ptio^rtnoa^7.cap;5; tmdequaecttaqiiMRximDs Cap.pd» 
ctd. fieri<pofleleQt«coiui(ead>,aue pilS: cir^ttnii muk6 magii 
fieri poceeuflc yitro huitisfflodi hyperbolifenAii'^ Pbfieriterro 

3uis nodu procul diffica vider^ <^tatif &oratii moDftrecio- 
ex io rphaura horodi^cat cjuipee placea», alia^Ue diffiea loa 
ttanfeanc i quld agaiitirpr<cM:uHQ j^elilfquo oeetUto 
biculo, Guius £bneftra aperca,&c fienim BitaiAaimndpMnea^ 
iiyperbolicam,& io diflancia^pundtic^cQrrusCqtiamprasjsdo* 
aeoit) appooas,radii per ykrum trajidencur.&etiiAentutj^ta^ 
bltomoesjtanto cum lumi^fra^c (pleadoreiQremproam^»}» 
dam>ut quidquid^optas^IfcefrlongJbpo^tus >clariiEm^ ac iMte. 
^lSme vifurufi fis,atqueagQicurus> 
StnmJ$$, A<^4//«rwwiIIuminationemqu<Miatcinet,mttlfe^'P«rih3A^ 
miiMh e^aperhoc,qu4mperaliarumformaram vitra:,quia^iM)C 
aagi»quiffl pecalia coitunEradii omnes in puodunu 

- €aR£)»Lt ARIUM- ' 

De Dioptrc^rapfeia pcc vitrumj^pciv 

bolifbrmef.. 

terHtrmnfaciem»»nfubtUrucraf^imiflHlMCM^^ amMfitt 
'ifitridittrimemedetrahi^i»def9^t,i^qmdimrea9Menstmr»ti 
Umen^ArtXelernmrAdierumyqMfi cyUndrm rAdiej^ytro^cktUim 
(frcuhnem veleUifticam in e^cfitum pr^cnlfgrietemyvelMumi, 
mi:> tnuuAbafi.fiu difae luminefaprtesnetvMuUtteritJgnMt^ttmii^ 
tmi»fifi.M.^ttn6adumhktMfParentes<ernide^^^ 
, n»nffimAfrefe^ffilifntihii,fidtriM6ifrbSad^iol^ 
SfodHetailU vmbrefitfim^magif aci'^^ 
, . muf^crejuitti ' 



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A B Hiuniiittdtoc^pery4«moiii}r]icrboUip£^^ 
«^cokypetbolicum., tBaoiiimwa^{tion«aytvqiH^/f<t(^ perfe.^* f 
omieqMiuicad Tebem€(einitt(»a(0^onem>qif9iii^i^^ 
«um elt:kuBinu«rottkum etiameft:ca)9iivnnKiai^|4iopt|i^^ 
dommoddaccedatconllipatto cadiadim. Alo igitur^fgbaBiohyir^ 
pcriaokctimTfciphanumelficaciuseflead combtttcndum-.onanifc 
busaliisaliacum £brmarum diapbanis, etiamf>anibolicif , uci d&^ 
«oaftcat£np^bwr lo; cit; nuin. f .Qj^aiieiqiiidquid^ diapl^a^ 
fieri poikai^auirottftcap.i.hu^ttiibjnvdctii^ 
siis quibiiscunque «ffici docuimuitoto Ui7to«^idmid^n^zitc 
liocipiieerobyperbolicoTitsopoteftinopusdedttd. Videibidi»^ . 
^,&b2cappltca.. ■ f , 

loMtnes ta^tifiA.PmAxh.ij. lyf!agi«I%uur.caf^i^iaflerir,po(T J^^Jflfcl* 
&refcadiooeigDemaccendiioagi£mi,8cfer^ninfinitum.Mo*M«(i|^. 
dumciaditibidem, %i|n9rQiuoobfcur^} uttque dedica«oper^ «Mf^HWMaiku 
c^fecrecumvulg;iretur« Verbaeiusfiint: lEcce i^ntm.utendenJ&.*^**^J^ 
Mmmvdkftiuremjnedtmsra^m. EmitutetiMm$mji^t*ks,vfib«f^ 
fMTuB^ lncidet.^&i0a/niformUi^refwetjA^»9sr4dm 
i^»iem^*eettltu^i ^^nfertumradiumineidentmi/tfifaritkmrtm: 
StmyferyatUtjfWlJ^^fvmfprmiterimet^ 
*imi»intffmmM inpmmAhiU.: ntmfirttUUimfitmmtdnlktffe^t» 
0ffmfiitrti tHdd^ miiinMj^ecMhmtffenerti veitemaextcytindriefi» 
^ctnc4V0jfikmiceii imkrtsimienietm4dmtditntferfirttdtxvaiid$>^ 
ig^,t^tff»/ffitvtr^Mn^itifjermtt^velm^ vti^ttvAfiteriit 
etdem: Sedreftrtcmm^Mn^fwftrtit* E^ffcit^iutfmidtm^fitfftJ^ 
mtv^tiVtLfmvtfiitriiifiryerr: HxcPortaJ AtqdisOcdipusaa* 
«tpianec? £orci9evulcidemq9od^r//M«»Apiario^^P 
nai.s« cap. 4« ttte cradicmodum efficiendi vir^mfeu cylindrum* 
oftDrium diogcrici,:ttreatem>iInon in infinium., ialcenunloiw- 



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attnmu. ^ ^4^m*ffMtmJ^^kxcifieHtexparte^h4^A "B' radiosajilefitd- 
Vide Y\culeUs^^ioMHti:^^»H^m^.fMUm ^^vkiAgftr^eJfl^hlr^, 
inJca^tegensin funiium^mHn^ Xi. s^reri^4ioptricti^pufiaare{\i<K 
jouv* «lt,hYpcrljoitforme) E Jitferexiguum ; ^ hyperbdHfermemfacim 
" \oHerfdmyilm^Oifp*tfu 
' np» A &-lii'<tiiHfndm,iongi^di^hikMJii»eli^^ 
..fiiitimmSir' Wfl^wridi^mf^ 
diem^^f^fi^^orh ■ © diimricati^£rrentur,ftatim fuftu 
^mf^^tn^^^ exctfitmmfyiiUnticuia minoteinjiaan by^^ 
fffrptemf&intfihtmomitacea£lie§«uuturfaralUUimi^^ 
Ufieamj^vkgmeylittdrJeam-^ fiifMUif 
^ai^ketMit4jufntmncntt^f9ta(itifrate nMNtttritAinmtai^ 
tmnfrfi. fofi^U^^^radiosr^erithftmSievfiwm. ftk ferdiufhtua 
h^elrbel^^miU, i&^finrimasradiassedden/aees i.&ttmSasintafdm^ 
mmitcianguJtimvimhahere.vrenSt demtnftrAtumhalustumwtf 
tecedentibm cafitibm , tum ex farte in exferimentttvnlgatMrMm la^ 
'.tinmdu^hawimm. HaBoBctuna*.-;. sLv . ^ . ; :. ^v .. 

'"A'N;NOT'AT1^.;- 

imhi w*. Kf^Jf * & in^mtfiftmt qud de Untt ffhMikjffrUliciiUSftm» 
Orm» d* ^^BettintattuUmttft&intter/rtbabiSa.atUnittian^ 
'"u'Ti!r *ttnteninterdemdnfirata,vtiffef»ut,. fUtceretttmagMmmtfJt^' 
f0,lui^ timifmtdeTtmbit/fitne inUngamdi/tantiamaJmtffied-ffffr^eif 
tTtktkiliH rientiicinfimt^letyauiabalieceafirmata frabt^t; egejenimiifh»» 
medi vUritnuUamfeciexferientiam,nec credeatinmfix^t IftMU» 
SfficilisfunteUberatUnit, rol»itame»eaaeUkfere,iqMiiifmfX^^ 
Hafunt, vtdixiiUcetidfrdtermerem metiiifS»^uifuitfltn»i^tru, 
&eertoexferuMe»t9comfrebata additcerefHee,. HAeJefM^ni»W' 
wefmtidemhabet U.ci**caf.f,de intrem^ne/^ciexittmnebftiirtu 
eubicuUm fervitrmn hyferbetiforme , quofitt^tr&umm^giie^A 
,/iite.vlUati9.adi0mento,a^arit»rntere^dfy&inJtnmtu¥ati.^ 



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4^ 



vtrmmt^^mminim^minpentf»rcAnumeft\ JExperhiuf qutvolet^Mtt 
ifuipoJJe/eptdtiteniet.^P. EmanucIMagnan exOKinimorumOrdine 
liHr^ Perfiti^hfAHmcria in finttradit modumformitndim^dMisfro ■ 
orknis generis vitrorHmformiiformAndutacfoliendiss quemwde. 
^^SM^A^ P-AStonjuj,MSf**fi«.*^yta>» j5iw OculoK^ftro- 
JpicoBmoculp,i«finelib.^, OcuBj^echicfMie. ^tri^pr^luxit Kc- 
f{lerus,& dc Ghar^cs, injuis^Dioptricif^ Xep(erwiamenit^Di0ftrkm 
fMNim^GiAitiimpoffibiUefte^^kofticiirepu^iret^vt^UneA 
-'Jloria in infinitum , id^prohat tri^ 





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DE MAGIA TELESCa 

P I C A, 

Sive 

Dc fabrica, ufa , &: effedu prodi- 

giofo Telefc^pi) , & Micro- 

PROOEMIUM. 

nec exhat^os calorwntbeJauroSf ^tnon mftmi 
Recentioris\ quam Antiqms animo eUtare fo^ 




txsmto i nec inrventa pthUmU fartum ejpficulorum ttmtui» 
frateritorumt abunde docet TuhftejUe mirahilts, qisemeil»- 
<ventore primo HoBandicum feu Batarticum^ offieio optio^) 
i perfiSiione f£ frafianti^ Telefiapiumafpellant ,^qitodo(vi^ 
juyetad^x/idendumclari^e, ti '•velut efrofinquOf ohie^ 

qtkuttmyft farya , quantunrvit remotiffmjt, ^id ettii»'^ 

.... 



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Mai^a Tete(coplca; 

'fSMta pKiUtate Injtrumenti^ fimulf^ nftilitattyfilUiHittm-' - 
q$iam pcperit antiquttat} Hic mnrequirmtur oferofi rota- 
rum moUminajnonuborioJaarcanorummotuitm ambages ^fitl 
duobus, triburve tantum nfitru arundinifiu tubo chartaceo 
infirtUyperfictunturomma, Necdubiusefieyentuiyfidfimper 

filtx , fimper e^tmiui. Vincat ahus iicet oculorum acte Qilli- 
cratm, qui formtcas ex ebore tamparvatficerat , Plinlo lcfte, 
rvt pedeialiaquemembra wideri 'viy fojenti ofel Myrmeci^ 
dem tq ui^currHs fabricajje dtcttur tdm exigubs ^n/tald mufia te- 
gerentaryfvtVXuxztchmrefhtif!^ tnfeptmdinfiulpfijfi^verjiu 
J^omeficos^eodem r^erentr^aut nofirorum hac tempefiate arti- 
fic^my qmgrano piperu txcavMo inchdunt piurammero t»- 
mentabelhca cuijributfitilt impoftta, O* fiypmthsy aliaq\ n/ten- 
fiUa,qua Itbero oculda/ixdeprehendtpojfimtstamen hoc infiru^ 
^uelnfirumttt$mmsmultiis fuperatparafangii. Adcalum 
tonfiendendrnnJmtuendMn prope Lunam^^em^reliqmaque fi- 
dera,non jam opw e(l atis Dadaleii, non Pegafi^on Phaethon- • 

" f/jr ci^rru i aktiiSifihctus^ ac ficurtus teerehtt T^lefiopium 5 fili 

. ipfiprafin$emtefacittautttbifilemUeUofi9pium, fineocuh" 
rumjaUufa,fineUfHmn;Uafine^UoniBuyi^*qwnlmrrere, 
in claufof^ obfiuratocubicuTo. Omnia ergo cumiMagtca fintuitgi» r«. 
^ telefiopiOi hoc efiy admiranda , prodigtofa , ingenio piena^fit- ^*^*- 
hrica inquam , o^, efeSius ; ^irum i/iderinuUidebet , fii» 
Magia nofira tocum etiam inyenerit. 'De hoc Injhumento tra^ 
fiant ( quos ego quidem --vidi ac perlegt) Keplerus, *Bettinus, 
ScheineruSjKtrcherus^EmanuelMagnaniAntoniusMariade 
*J(^a,Cdbaus,Aleffinmu,I/erigonius^^orta,Forefi,0»ali-' 



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Efn0t»f DcCbartes in pM Dioptrica, 



SYNTAGMA L 




\UofuntgeneraTeIef<:()pionsiii,aDriquai& receotia. IllaTO 
^camuscommunia,ha:c Aflronomica. Dt utruqueagemut 




I ITmukantmallanimrerumudUtatepmft^^ 
^Telefcopif etiam»nobilil2imi todus Dioptriceslnftrumcni 
erigo atqt inTentio caiuf potiusquim arti auribuenda eft. Em^ 
vcr0 ( inquit P. Antonius Maria de Reyta Capucinus/xr Onl9A' 
j?n^>^Binocuk>> qoemadjunxit Ltbro ^.OcuIf Enech & £M 
Mgtmvm ^mUm K^nd 1^09. e^mJkime ipk^jmlmmiiif^^ruSMtm 
PerJfkiJlMrim , Mmim Uanncs Lipfir/cm 
Mmc0nfuex0jpcciUocfinj^mgens,Jicifuevn$m$^^ 
nesdhtira/ieneanimad^ernt^ebieffamdgnvfieredMgerh 
Jn mednm fre^pinqna reddi. ^up vifi , ium vtrum^ wtmnHn tiAm , 
"tS^^-fincMakmd^^^ 

tihusturru gaiumquafiexjoco^eQandum^^riU^ci. IncrchuitSuiastk 
vitatisfatUatimfamasalliciunturcatervatim vtatores^ovumd^ifut 
ditumjpeftaculmnkaudfinrcurieifhatec^fikporejjfeffanter. Cajkif^ 
cfucin vtiUtdtcmttanfit^joom inremfih4am vertitnr, Enimvcrttlch 
. ufio SfinoU « tunc temforu Mag^ Comitss fif/fenfianem armoro0cto 
flatibus^tKaGtamrusdagcns r novum Inftrjimcntum iUudv^um pecfttf 
' p?icomf aratumiS9reniJpmoK^chiduci\^ 

interimresdefnrtnradfroccrer^ vocaturhomeiUe Pcrjficilliarimftt 

lUnc^fikaiutt^^ 



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Magia Tclefcoptctr 4pr 

mtivenJere eiginfr^ n^dei^cefsJmiklM/hrfmemiffffetdieree. vem^ 
4ke^y&c. ^Mmedo&hecncl^Ummtmcsfigkim^^ 
tum^yind^nditerefefieum tCeUimn£remMn^lk^div$ni iuS- 
fionenie voUmute jam aUunde , ^iumtUximm^frHbfmffet trdntm^ 
fimf&intrdhdntinaduUdivulgfittfm. ^ 

Harc keyex Paul^ alicer tamem-em oarrat SirturmVtir.i. 
cap.i.Tele(c. arad Uhertum Fromondwn lib.^.Meteorologic.cap»- 
tvArcic;}. Hoilaodumehim, amGenitimHoNandifpecte, qni 
ijoanoe Ltpperfein » Middelburgenfi Opffice,cavtim & conye. 
xum rpecillum fieri curaverat » repertorem tubi optici fcribic 
HteronymusStrturus^Annoi^o^. Opifexautcmi ct^m vxdtttt^^J^ 
HoUanaum adducen tem & reducentcm ab oculoiritra> ut uiTe 
Ofretpua^mconcurTus» flatimprofefimilia coocionavit i iL^ymUmm. 
prin(iDpulchcrrimacarcisexpenmcntoobftupefadus,& vitra ni« 
Do condenda fu(picacus, munus hoc Principi Mauntto deferi^ 
inde, cancac rei novitasper tocum efHinditur orbem , & plura ali» 
ftiguntur fpecf lla \ fed ndlum ei conttgit melius & aptius prior^ 
^t idemSirturus,quiidvidtt,&tra<^avit. Oicefes^nooartesfo^ 
ldm>fedipfam Naturam.omnia conferre» ut magnis Principibiit 
iftferviant. o/^<ifirM^c^^//^ Alcmarianusin Hottaodia »&Fra- 
oeckerenfis Mathemacicos , fratrem fuum Jatobum Metlum 
fuifie cooteodit, qui Alcmarias cavum&convexumfpcdUum 
conjotixerit > & oovi Inftrumeoti occafionem , otdidum» dcde* 
' rit. Quod afferitetiam GeorgtusfbiUfpus HarHorffermf Potricim 
Jforimber^enfis » fautor meus eximius» Tomo i. luarum Delida- 
rum Mauemat.par.5.quxft.9« 

Non diffimulabo umen quod narrat P. KicoUmCabdils^ in- ^'V^^ 
figols Mathematicus » Commentar.inlib.^^Meteorum K!^xit.^'jff^ 
tex. 8 . oo vifle (e leoem quendam » i Societate Jfisu Sacerdotemi homh 
qui multis anois aotequim quidquam de Optico tobo maudifbu 
tur^duobus vitris4coocavo8ccoovexo» ufusfueratio Horisfuis 
Caoooicts recitaodis (qu6d brevtons eilet vifos) applicaodoca* 
vum propt^ ocolo» coovexttm oropiftslibro; oecunqqamrem 
IK exoticam fpemaM^ aliis oeiwenN^tf^ 
trropaiaretur. 



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Tkkfcofii ^ -C>edklter|fii4ftiiieirpmoio 

^iditur i» piiftann Poitain.ti|bi Optieiiiocitiam Sc ufom babuiiK^ i 6c rcm 
'^''''^^•^- omoioo^ccultaflc. CoMigoidcjcCap. 1 L lib.i^H^agixNauir. 
libi more fuo ▼erbis ob(curil&mis tubum pr^didum de(aibit. 
Tituluscapitishiccft: De fhecdk ^ifuibmfafraomiBecoghMHmiiuk^ 
con^iceYekn§fmf^m$i. Poftquemtitulum ha»:babet» ^Hni- 

eiu^u^creJifof^it^iop^jmi^ Biximmdett^miv 
^cuU^fiv^jjfeaU/itfptik^^ferfi^ 

cgnJ^iciehM^ & ^itometdo^dfierifoterit, docereHfftdbimtUt vt pen^ 
ilHotmi^fofiitmcogn^eredmi^ospfsimmj^^ 
nmoAohMrM^leres e remoto, Rfis bumano vfuinece^ria , c^/OpMafrii 
- . , tioneconfidns^idtjuevdlevkariifiiofiet ^fedresnonsdet^v^ff^ 
fmmulgfmdafid PerfiieSiivis cUra. Fifiis coniftituatur centro vdk^ 
^ fimmlpeculi,vbifiet,& valentifsime univerfales folares radi/di^ff^ 
i^y^c0eunt mimmeyfed centro fradiiii^eculi iniUius medy^.vhi di^ 
p$etriiransver/ales^mnium ibi concurfia. Gon/Htuiiup^hocmoi^^ 
lntt$ concovum cojsimrwe^tqfiidsfiant^ui lateribsssttfedlaterivttit^ 
pm30^nHfmiilisaccommodetur , trianguiiveroobtufi anguti, veltr^ 
thogonijficentstrMnc inde dudbsss transvorfalilm Umis^ex centf^tkr 
9is. Etjtonfe&Mmeritffeculitm^adidquoddtximmyVtile. Obfcua 
ftpid0ilLwrba,&.u; aii>itror| de ioduftria ceaospoiba^»;idii^' 
«iamoacu}taodum:4;sum€Opticitubtfabric9m^ufuoic^ 
^^Wirr pfehepdi^Uiudubt^Os&alijecjamcxifti^ 
fifM^S?- iem;VirCUriffimusatqacdo(»iffimu$JjMDncsCaffi^ 
f$t f9inv$ teislibrumcommodavit P« Athanafio Kirchero , lulica lii^ I 
^j^^ ^ fcriptum , ficjebus curio^fltmis rcfertum , quem diccbaccfle ^ 
licui)[ipo(UuimumJJaaot^^ BaptiftacPbccaj.cuius&oomcMp- 
• gffa§hfcpraE^rcbat.E^4nUbrofc,tcturPorta,fcTclefcGpiu^^ 
iBfleiiE^&deieoiircap*^ fcriplifle. 
}0*capltchxcbabetintcralia. C^cavakntes.qualonge/untycyi 
fim}<emerefaciunt s ^onvexafroftnqua \ vnde ex vifssscommiMt^ 
iiis fimi foteris^ Con^vo lots^fgrva vides^fidf^rfficM. convem^^' 
ffn^mmdfH^^iwbidsHfivjtrm 



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Magia. TddQopica. 4P^ 

Siergo Porca^qptu&tuittubu5 ppciais^ei^ 
antiqutorefteius iDvencio quam prasdidi Auc^ores exiuiman£>^>^^'^- 
^ixiteDimfiipenorifa^Cttla 

turalji libriimprpffi fqcre Ant^rcrpiae ADtio jc6o. Adhqc^antiqui-* i ' 
qrem^ck Of^^cu^i^i tu^)u^i Cjjatusin LibeuQ d^c Qomf ta An ni * " ^ 
l^i$.iibiai((: yitij}e,cnim vfumtubioptici AMiqmsetfAmJflronomSi 
f $mi&axem^y tejiatur Lihet vetujlifsimm in Biblmheca OMdna[ferij 
ScheftrH^firJftueattte ^oo. anHaStqufinLibrajntercatera fchema- 
^a^efifm^rctiemw.fet[tubumppi ^ \ : : 

ediditAona 1617-aitlio 5,cap.z. Artic.3. Nnper in Hannonia yin- 
ier veteremxuiufdam CafteUi fupeUeSiiem y ^taftricus tuhm refertut 
narratwr^ aruffnpfusy o^multdontiqfiitatu. Non t^mpD cqpcedit 
f rompnduijbiitys f nftrurTieiiiti ii) ventioDem tempora Pprtq ao- 
i;e€efirjr&i.Qa9i HiilaMc^ ac MathematiciidjQQti ului{Ieot>^ re:»* 
yy^^u^fa^habi^^ ! 



CAPUT ir 



Z^t^ekJ^gfAlirorjomiciy tam Mdnoculi^^uam Bi^ ; 

frN)Kmm<pttro6 i Pojica N«apoli in I talia tubus Opticu$,afe (apr TmtMtiftt^ 
'|»reflusUietndelDHolUi)dia v«l-a JacQboMecio, vd aJoaoQ^'*'^^^* 
LtppeHeiD , 6c iopublicum dacusv caepit paularim ulteriu«pf 52«>5S' 
^dlnmaidmvGalikm , ft4ltAm« .OrbemdeQiqueoaivecfutn di^ 
yulgadiJm^gjlsq: fcrStijpfxitt%im iSiarone MarioioGerroantai; 

iGalil^p in.ltahaidoDec dd ealDiiD qua nuoc temporis-eftpec- 
feAioutm eftdedudlus. FiiuncdnifflDuoc&'perfe<^ifimi,&ma- 
ximi ,k>Dgiti>dine pedum vigiQtt)«ecrigiD«ar, qualis&vidi p^ffini' 
tiimioltftlt«i,t«ipiDOermaDia,roaxtrocRQmic^&apud£m]n<m« 

Q,Q Q 3) Mogua*. 



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4P4 l^artit t Lib. X 

titogafmasumiintSc klceram Herbipoli Valentiit cerriKetlfti 
quia cerrcftria acque carleftia <:orpora corim , 8c auda fehemoi- 
«Br,n0bis proponunt Ideo CQmnranem Tocari io prascedeoci ci- 
pite hunc cubum dyobuis (ol&m Ticris conftac,con?exouao, 
^.fieconcaxoaitero. 
Tuhiqfi^ ' InTencojacqueadpntdiftamperfeftionemdeduAohoctu- 
SmS'.^ bo Opticbcpmmuoi , cikm MdTercereoc Aftronomi «ira non «• 
qu^commodum efleprocacleftibus obi6disdetegendis>qu6(l 
jbifieximfxCtmagnitUdiniii nimiseziguum^uno ol ilnmotoio* 
tuitu detegat fpatium , ideoquehuc atq; iiluc moTeri eum opor- 
teat,(iplures(jmulfteUas TenariTeKmus} dealio cogttareODp^ 
jj^^' ront^ifrMMrif^i^ji/i^ 

mihf 4^ familiariter notos,ante moltos aooos Kepteri Probk» 
t^ Optica ad prano redfgere teotaTit^duoqueconTexa Titra»^ 
b1t4 inter fe proportione 6c fedione » (atis teiici (ucceflu coDion- 
xit ,inqiie unum canalem compofiiit , ut ipfemet fatecur locofo- 
pricicaco. S^ionmqmdembenefichiHcreMb^ 
i/Ho obtut» J^Mtiifm MperiMtuff reteoMtwj^ JfLmmvero vnointuitn^fi^ 
Uttgituiine Mut brevitMieJfecilli, MiquMndo vltrMto,^ 0,4 o,^ f 
Imd^inffiJsim^numerMvimus. ItMvthoctdeJcofiumi^officmui' 
nimum centies fius JfMtij MfertMt , auum tubusMUti^ums. Ses fr^^ 
VMtfTM* bdudminmvtilifiquhnjucundM. nocloluminc<mf^^ 

quddresinTerfas exhibeac,dexceraquefaciacnniftn;brbperac6- 
mucecininfera, exigenceica refradionum&decuidatiooumra- 
^iioru m in conTexis vitris na turl Ica nihil infignicer commotbii 
iloe aiiquo iocommodo. Huic cameo iocommodo medetarter- 
Aiom Ticruffl addicum,ucinfra dicetur. 

F.NicolMmCMbdutlocoCupTk ctt fcribiCi& probactxdop''^ 
lente con vexafieri oo&s telercopiem,8c quidejn per£edi(&tin)iD) 
ciftendens camcn oojeda ioTeria» Addic edam , quam propot* 
tiooem hal>cre debeanc in cer (e duoTicra qiioad ficnm , & fiff^ 
Neucer umen alteriosmemioic»neque certtl aUcuios. Dttofipl^ 
resT^,eiusd€ reieffeuiT^cores,nil Tccat UcdqiCamrafio^^ 
bfo prd|u»tJCcpicnifyquiio (bis Oioptttcit meoaoocfleifaai^ 



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fionitpcr duo vitra convcxa , ut ipfcract Rcyta tcftatur.Eiusdcm 
iclcrcopii pcr duovitraconvcxam^roimtP.ir/rc^^rii^li 
jnioU^clIinbr^iPar^cap.S. Praginac.3^aiiusverbainfridal>p. 
rv^ Nfqueiio€MonoculotubocontcntusfuitRcyta»fcd ^^^^'Jf^j^jl^ 
.|p|l|%CociumocuIum ciadjunxit,&quiderafclkifl]mQaufu»f«Ii-jj^^ 
^m^z{Mccti£a^ utmccumfatcri coguntur,quotquoteius^rci-.]|^:^^^ 
ixperimentum AunpfcruoL Talis quippeinter tiunc Scprio* - ^ , . 
rccncftdifFcrcntia, AudQrcaflcrcntc,&mcctiamconfcnticntc, ^ 
qualis cfte communitcr folct inter monoculum &Jbin^cjLilum 
lM»minem« oije04Mm£/inquitKeytz,hmacf^ 
m^i^m^diifi^mAgis d^im&4,maiarayC^ ckriJ0m£4ff0ri^t \ mimac^h mihs 
lo vcri nan mfifemimartMiindgU cmfuja^cjr dtmmutAt &c. ^UAntumfiM$Mfi$^ 
MHtem vnmaltero praftet^miUket exferiri foteH Aboctdis exemplo de^ ^^^^^^ 
fimfto. Sienimvnooemektflii^iiiroigntu^^ . 
(^tumdcindesmbobusidemdenuiconj^exeris% neci$onintervndm(i^ . ^ ^ '^' 
dtersm vifionem comfardtionem diligenter feceris\exferieris^ ^h^'' i 
^um bino oculo non modo Mgeri%verum multo mAgis ilIu(}rAriymajc* [Z- : 
fi^ri^ue^ vtita dicam. Sic <jr reliquis faribm de vtro^tuho tibi judica^ - 
u Iscet. £xperf mcntum&ciJntubo binoculo ab ipfo Audore cla- 
boraco>ipfometctiam pr^ente > 6cmacb'inam dirjgcnte. Atqoe " 
Eoc biiioeiilo tubo fperat Reyu » roulta adbuc latitantfa in coelo 
accaoa; dctcdtim iri^rMMr ver^iam tandtm ffoforti§ &fi£Ho Jpeciri 
hyfcrifoUs, qudfro vitrorum rcpa^ionctolUnda requiritur, hobisjam 
Mta fii. Ha^cde inventoribus Telcfcoplorum.i nunc de praki 
ad (ca conficienda. Prius tarocnnonnullocepiruro confiden^ 
tumArtificesindicerous; .1 



r • 



€ A P U T^m 

^De infigmlfki hoc tmpore l!^lejcopiorum A^k 

'1? Re8 Bo viiibetBmporejqotexcalf uiitluprft ailks io tubts co^'-r«»^iM 

fkieodH; Priouu. eft A^n»d\m. iRemeiidus & ^Kimius^iJIJ^^' 
Bntfnia M» M a hfr edmScpiala, McditilaqopfoCaaQp i cmy cu^s/^hm. 



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4^6 ^^litiber^.' 

iuptk cuzmmtia^ohem ftct Lilyro y.Syncagm j.f. 4. :Mecci. 
lloae. , f dem hic exeelM iti MicrorcopHs efficieodrs, <]ooraffl 
. OQumiir6'con^dl^o(leoditm}hi^R6mk,qtK>dIicetextgiiim 
jSij^iirW«f idniodom' eflet,j^!oi tjtftiecffAffftrfdnis repVxfentabat Altet 
fa^\tT.k(i DomiBtis Eu<Qifiiti$DivifiiTt<Jrrtjii oon folfira eicelltt. 
iirmmtpti^tifSltn^fStfc^ wim expeditiiltmui'cift in ca arte.neeullutnos- 
mM»4r- ^uamvitrum&deGderaufbmia ac perfcQione ipfi deviat-.qiia 
''^' 4^ caufa ex'9h)mbuslocis«tastubiexpetuntur, & P.Kirchenn 
aliquot yiiiei^h e6 elaborata tttliismtfit s. CiHi. FerMnmi* llh 
'C^i mirifjfci^fb^eprobata; ' Arundines conficit ex folii dtiita 
' ' craflio^e.ideoqueIeViIfimaeTunt > & licet in 30. pedum loDgitaA'' 
' ' hemexpIicentar,8cfoIisiiianibusfinefulcrofHftententur,iii»- 
- ni miim tamen incurvantnr. Binocules tam£tubos ouUos adhK 
jt»m»t» 'cenf<Kerat,dum4bimorAer.Tertfns eftJoahnesWireI.At)0St 
jJ/JJX'Y»n<*c^'^<>^V»«n > inllrtiansi R^yta ; i <)UOi nt & afe Harftoileto, 
M««f«Hi»«. alii^<^ue,veiiem6ntet1audatur propter excellentiam (uam. H- 
ftktrmm. i^ttubosummonocnlos,qu4mbinoculos. Quartumaddef 
j£k*£' Ahtonium MarTam de Reyta j tm fa;pecitatum , qui non taotikn 
u^»rum 'mcz arteexcellic, eamqueireriptis Vadidtt, fed alios eciamio- 
J>r»*f^»- ftruxit,8c cuffi huhiaoiflTmus^fit^flne thvtdia hon paucis foa coio- 
'municavic; Alidit( celebrat k^yta , Gervafitim Matttniilla 
nomine,^ac.Ca(i.MajeftatisOpticum,etimquisd}citefletaiDiD 
' praftic^,ciuam fpeculadva optlca verfktiffimum^ £xcelld3reet- 
lam Torricella!^ FIorentiae,8c Fohdna NeapoIi,&,fi adhiieioTi' 
viscft;P.EmahOelWagnaninGaina.'' ' . * ' 

SYNTAGM^AII. 

TeUJcofij commmis comfejfitione ,-effiBih^ 

Uae hoc&requenti Syhtagmate dicemus.pleraqueeoKi)' = 
!duhil,utTyrones.&tehoiusnobihiDmifiifkirtii0BtiiiANo- 
Tltii, eius^jptenioreni iodipifcMinr cogaidotiem j)ndertinciiii> 
omnia,hcecmuldsfai!isoota, magi<aiani«a8caaii^adooeiiv 

CiPBT 



Q 



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C APUT l 

jye %lefcdf^ commums comfojittone. 

nrClefcDpiDmjlte TeMcotHumcfmitniioe coirflatpartibii» y^,^" 

^ materialtbas&formalibus. Kfatetialesrut)t,cubifivearttisr^,,,;[|]2||^ 
diaes qaibtts vitra iofehiator , aoouU , & opercula quibus tubi /^.» 
inuaiuoctfr:fofinalesfoat,<iluoleates,«Mv«xauoay altera veri*««WH' 
^ocava: Inlhriimeocamexhift^confedQmvocaiCQrTeleico* 
^amfettTeliolcophim,ob efficadam&perfecliooem adre^ vt^ 
fibilesioocalo «Itrtatqiiedittiod^ivpv^ieacandasi'!^ eoli^ 
8eTiKm^figoi0mperfedum.Nuocde(iogulttfa((ifaiic«iMii^ 
•taiis. 

^ArmdtmsHelefiof^ 

*1Trbi^e aniodioes peflbot efle muluevd paoca^longae vel 

W ev»s» ampbe vel gradles, pro magoitudioeatque efticacla'*"" 
^<turiiiyni , HamleQsampIarequirittuDumfivearuodiocmanii. 
■l4fn«Mc4a yfB^iiftam (phxr se magox fegmeotum loneam. 
parv^ DreTcnBi&c Materia haruin aruodioum poteft elie vei 
c^rtacea > vd licoea , vel metallica. lo magois tubis opticis 
4JMfcacearoleteaemateria,&quidemex charta crafliorc, 
flimtte^TeoL Nullum v^di qui leTiores& fimul ridigtores^- 
, nodiaes^cfiiartacrafla fadacquim Euftachias Ditioi Rom6, 
' 4eqaopaal6aotju AniodiDes, ubi plures fuot, ita debeot efle 
.,(;(,iiiiet^]bprdiaat£> ucmaiores compledaocurmioores, idelV, 
^a^pa^wxu Ce claudaot graciIiores,ut ficdiduci ac redud 
iMlGpL Ihzmtz omoes itaappofit^dcbeptefle fabrefaaae,ut 
. otooris cofivcxa hiperficies cyitadrica maioris coiicavam ad- 
]^ii^pcadiffi9ii>ucyimfiet,ut fibiomnesftri^ihjereaocte 
MCtm «90 ahfierquiUp^una io diredum rigeTcaQt : qu6d fi lu^ 
>h afcef«BC,autprggravitace idcurvareacur,IeOces idfertae fle> 
excentrlcaf 1 id quod (isduld carendun, «c poftc» dice- 



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A Nfittltaqui cubisfeu arundiDibus inferi aiKc86poftleaie$(fe^ 
^bcot,fimiIiterpofiuDt efle vel chartacei» veiligaei , vjsl ol« 
TerinetaiUcL IKumhabetittrtpliceai /rjii^>utkoie»ltok 
|ode»aote6tpoft>firmiter coDti&eaDt: uode iocerior»&|)ol 
leotcs coUocaodi foleoc ad^lutioari » exieriores aui^ & im 
leotescoUocatfidifolefiUtaapuri» iKarA^iotrurileQtamctfftO' 
€EnQt»i0arfutaraeaoeceffitatiseximiyaleaQtia^ 

faodam»¥el muuodaok iS^n»if^i0>»utrequiiii;ai&lenti|^^ 
»-tim€OQvexx»detedioQem>manifefteat»aique tosksn^ 

2uasvtseiiimleMesdetediooeccrta ac(:ammeaAirad^||g^ 
rout autem lebtes eruot elaboratas» ita maius > vel itiisamt 
mcD apertum patieotur : de qua re paulo poft tradem|H|B'2» 
pradicas V proindc expedit > mufcos > v^tvcrfimodi^piiy 
berc aoDuIos pracparatos » utappareat quis illorum inax&||^ii» 
fieu»(it Temo , ut teoebras timo tnjiciaot, & radios Ktnwf 
gent Profimt etiaoB annuli » fi minimx 8c intimsif aitAiw^ 
Hertufi^imponantur^ut coni radiofi extrcfna 

!))ant ^ in profundtim muhum intranda* fic enim16<!tMtt^ 
bbingrefiast&radios mallgpi reiEradione vagos^^irc^wi* 
qucaaimagtntsmunditiem plurimto condticent. 

Si quacras><]uanto circulo fint exftrindcndt ifli 
j|)oodieo,(um^qui arundtnrminima^ imponitor '» pbil 
lemcavitati vitrt concavisqui verd ultim^Onmiaxima 
iitrculb convexat Ikotispatcnti ^ qui pcDultinnac (fi**** 
titbis fivcarundtnib^inierere Iubet)paul6 minor(ft 
convexacteotis patenti vqui deniq, medfis arundini^tifV^^ 
«iooeadextremosfiabitaibccdfercdtberc. R^ribte fftqjP ^ 
^ ^ecies objedorum proveban cur j^t tubum in tno^p ^wjM 
; jus bafis, eft^ patulus coh vexx renirs cirtblos , vci^f eSwHilip 
Ikotemcavamdefiaat i patet:oece^rld' ^ 



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AmMi pi^MQj^lBllflbarandioemiBiM poffaot uUq; coaifi* 
AMi^UMtuflbmaliafnanindinem debent intrafereciperet ia 
|MienMedf}sii^,&dtima ,non ntfi^lnultimo erificio verfasobi^ 
jKdaiii^p€iftaiice,qtiiaquxlibetiub<equensdebetintfa fereci- « 

Oferetda Tetefioff 

^^effcota Telcfedpiji ^excogiiata pro munimlnetentiuffi,' 

«otiof ielbt , tc peo munditie earundem Jentium : ecentm rikfam 
aootaMiimipa}Tcreleatet,fed rniilcd ma^s abinjuria & iiex M^*^ 
trtBftttacocamcelioTcopiamdefendunt. sutit autem dupticis 
ge«erif:aliaoamquefuntplanaorbiculatn,orificlisceliofcopii 
Mi^Kfoo^ ardi introdi folita : alia funtiii modum cylindrl 
ooaciyi akeri bafe daufi i^ormata,arundinibus contradis 8e' 
iovicem c<k»fenas raperii^eri confueta. Materii conftant e&- 
dem quicubi ipfi. Qua; diximus kadenui , defumpu func ab' 
ufo omniom Artificaro,qai tabo90pticosfiKbricant,& ea r^eiv' 
/^i&rfMnvlib.t. Roteurfioaecap.^* 

LefttesleUfiifij, 

FOrniales tabi optid partesifiint , utdixl , leoces du« , coavexi ^ 
..fc copicava : Jup enim daot^naam , fubum velod anLj| ] | ff >* 
i^c lnliisleatibua«riafiiotoonfideiaad&,Matecia/otaMp' 
&c(JIocatiQ., V 

MAceria lenrium debet effe pei^bicua,!Iionrogeoea>conijaua»CM,j^ 
-I '«^i^^f^i^^^i^ul^ltabeacGoioreSfkocefl^finooting^ ^ 
jeaaciiuBperleotesexeaGoofedasalpidootur. Sedbui^modi*'''^ 
roatetia car6 ioveoitur , 9c £»rcaffis aooquam \ oam ex quaria' 
Unceconv4»acadiosxefi»^ooecoloran,€fitaaeft. Nocea- 

KRRa 



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FtofitL Iilfer lL ! 

moti Videtu&ex colore vitri,fcd exccrta quadam fpccicrun 
^xtiqnc & rcfradione in vitro prov^nire. HincuicoliW 
_ imraodiapparcfltcs»^ian ficri potcft,^eviteomMi^ 
lcnilus lentem convexam tcgere annulo chartaceohabcnte i-^ 
mcdiq. B ocyidi oodum magntim forarociL AtffKO^ C3H||MQI 
MllMbijtfRiridetes^ Hempgwes. eft maicrii 

Ientium4nullo& 

verfiedcnfitatisautpcrfpicuitatispartcs valiasqueimmundidas. 
Contima cdmatcria^i] per totum fQbd^^Bc^niojmcirof o&i^^ 
yiSraofacxiftat V il praEterMoiiIla^ 
^ ros>vorcices>nebuIa5,Eimo«»&.nmitiaviM^^ 

^aincuriain vitruminduda, dum materiamignitamacm* 
Ijpio^ traiiunt^agunt , gyraot,tw^ 

q,a:enrj9^^^ H«ce3^&-jWtal 
toc«cit;cap.i^. Similia advertitiff^/^iin TcIefcopionovoJniw 
Ub.4.0culi £nodi6^ £li«,Praecept.i.jubct4iie proJentibusfor- 
^fMldrfttJigcrC vitra cx fragnnentii%ccuIbrumanfignitcrpoliai> 
cura, pcrvia feuidiapfiBana pcr tciae^chra, & fiQctdk veoa^inp' 
u&prartnca & uni^miscrailitici. Atquein lioculrimoMil^^ 
£tonoD fcrvaDdoaJtplur imosPcrfpiciiliarios HalfttGinarnidfeoqi 
tar^ pcrfcaa pcrfpicilliclabofarc. Si cftimocularia fpccilla^ 
«libus.conmuinitcc a^ legcndum aue videndtim utimur ( 8c 
. , . , .«bmeftiatiadjcfeiitibusTelcfcoprerun^ 
. : , crafiitkli^ncqiie cxaaar%itelj>te 

^oti&L^fat^natur^figo^ I^^ R^ „ 

toco pracfcribic modbn»,,nminasqguali&cni^ 

v«'P*wri« (ptocDiwiHintT«ifcfco^^ 




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.V? ' i 



rfcmquesautakcracava, planaaltcra. Anautcmfigurabona 
vcl mala lcnti adhaercat , dcprchcnditur mchus praxi&vfuali 
cxpcricntia,quam rcguhs. Schcincrus taracn loc.cit.cap.zo.tra- 
«htnonnullas rcgulas ad difccrncndas bonas lcntcs. 

Ad figurac bonitatem ac pcrfcdioncm ultimam pcrtinct 
etiamlaevor& poUtio. Ficri namquc tepefolct, ut bona fit fu- 
pcrficiei cxtcnfio, fcd politiorudisatqucobitanca; quod appa- 
ret,quando intucnti cx obhquo quafi cinerc & pulvcribus minu- 
tis rcfperfa vidctur , aut cavernulis atque prominentiis viciffim 
quafi fluauacEttaha vitraparum conducunt, qula fpeciem nc- 
quefortcm, ncque mundamafferunt. Modumpohcndllentcs^ 
tradit Rcyu,.8c Magnan^cxquibusnosinfra aliquidproducc- 

Qffbc^/Q Lentitm^ , 

Olfocatio lcnatrn»ra aruiufiqib^ 
^coofiftitin boc, utlcnsGonvcxaponaturin una, concavain^^^^2/!l 
a/iccra totius tttbi cxtrcmtiatc;8t cbtiv^xaquldew . ? , -r 

; ca va vcr6 oculum rcfprpiafc Dcindc ur otialfew fiirdieh paral^ * 
Icla ,& P cr qtriusquc cintrdm cradfeatAfrw ideo^ ^^J 

€)uetUDUScxphcatusfcuextcntu»m?tdmid^^ . 
\ nUimutQnadiftetabaltcra Hrdtebtta pn$portffone> praintiunL 
j inagnitmfidc, matoriaut mmoitconvexitatc& c^iice^ <>bic4 
I fiorum dilbtitia^ttlorum ecmiSt<itiohcj«l (kll^^ di^otbtil^^^ 
to (cquctmbus. Prapfhtaatcm.ur vititmt.eof^cx ^ 



«^-"-^^ _ , _ - - _ , — ^ wj^^Mwj^m 

cacur ip iniatubicxrremiratc>,t^iarobicAtomrc4{>ick 
trtroquecoQvcxum,fed fot&m cx^rliS fiipcrfi«^ieobie£lt]mrie^P^* 

eictite; ddn^vcrdSp^rm 
vi trunvconcurraflrviuixta'dhaa Svnta^^ 
cercapta^fbkiirvitramG^ 

culumre(^icirate>Don utttbiraqueca^ui^ ' 
^r6cifr> citimavcrd verfu9«ociiluraifr platifiV ut^kd^ pdft egi«& 
i«iUJpetuni^co£(v?^i^Qt^ Pcatftafcd»< 



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^ mu^n ciaiiygttire vhrum cfle crirfBis Jrp ultKiaH te rtWoffil^iiS 
** raBiconc«vt|m ver6 mioorls. Neceffarium prrterei^ft* «c«oo- 
ttmmmmi cavumTitrum coUucetarpauI^aatecafocttrfumTilitiMiini ntw 
'iamj^ii- c|ibiim., Sedeccetyoum rudicerezpr^flkm: a eci> ^Tidcfco< 
"^*^' piurn* EF yltriMtiplaao-convexum» OH vttFumpUfbo^Gooca* 
Vkk Fis. vumt ▼x'' axiscommnnisperutriusqaeTitri ««Atrarn traofoMi 
ir. koiS 1 1:, 8c L M radij incidentec > c n, 6e m o^tia^iJi-cfraAilidpet^ 

^S^pprpencliculadeztnTitramJ^,^ <iis ra<i9)«fraftla4|«* 
pendicularem mtraTjimm, iJt.^^tixi&^t^/^QfA ^f<n^ 
culari excra Tithirti M icerum conTergedtei teffi»^ciikmi|iD- 
mquemdecnllaotariii t, Seapfttttune •dxetformemViE. 

CAPUT IL 

ExfUciitur modMS ^uo TeUfcofitim commmu 
'vifkmjirfat. 



. expKcatcagereaiiwir. Agtc^cdere jr<^i^«rinfiuDiopaiCib 
^MtwriwittRQraUrfio^HC^iM^ 

BtitA^^ Plof iqiilircmiair^iaplicaoc. Keplerus j6icSck«^ 
iMMiuot«4rabimqiiaodamf4dionim(qupsp 
. imlticodtnem i 9l pcrturbadooem » dom ad ientem coaTfKm 
'oniriibeftobiedi punda peolciUum dirigere Tolunc, U 
)yi^ ;Mi fr^ pgnicUlosiyertLyordinarLfe^ 
y«riaileatis%fa» Alij 4yiifcr«jcplicapt. Omniavt 
"^obiciww^sUfficiliatA^l^r^ incredibilia. |>laniiuinccsd 

lntric«^>Cab*us.cuiiisproiodeyeftigiisin{ifto« 

iplein/equc;ntemmodum.Nont«)menaudeodicenBiner^ 



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MagtaTelefcopica. 5:0 j- 

hb.i.PtxluL^. & in hoclibrodeQacurarefradionispervicra. 

Cum radi j ab obicdo adoculum pcr lineas reiSlas tendun r, 
& perpupilla^n ingrefliefHciuntconum vifualem duphcem>una 
rcdum> cuius bafis eft obicdum vifibile, & vcrtcx in oculov alte* 
r4im inverfiun, cuius bafis efl; in fundo oculi,feu in retlna ^vertex 
idcm cum priori ^ fidebecfieriviflo, debet vertexhuiusduplicis 
coni c0e in tali parce ocun, 5c in tali diftantia a reuna> ut bafis ca- 
ni invcrfiexprimatin ipfa fufficlcntcrobietStum. Quodutprar- 
ftctur.dcbcthabercprxdida bafisfufficientemmagnitudinem, 
& fufficientcm partem retina? occnpare» tantam fciHcet ad mi- 
nimum , quantafufficitutfiatfenfatiophyfica, qualis efl vifio: 
Hoc aucem non fic » quandoobiedumeflautnimisminutumv 
aucnlmisdiftansabocufo. Namtunc vel nulkjmefficiuntangu- 
lumin oculo,velnimisparvum,&confcquenter velnuHaparsrci* 
tiaacplDgiturabimagtnibus taliumrerum, vel nimrs exigua , ut 
alibiexpTicamus* Siergpinhts cafibusponaturante oculum,iQ 
convenientidtflantia,lens convexa;exrefJra6l:ioneradiorumpefr 
talemlentem cogaturin unum radijomnes qui incidilnt in leii- 
tcm>exceptoaxe; &convcrguntmagisaccitiilis, quamconver- 
geren^ non interpofita lente, utiexnaturarefrafflionumpervi- 
trapa:tet. Etquidem fiIensconvexaponaturpropeocuIfim,ita 
convcrguntJ-adijinipfarefradi, ut perveniant ad:corneam, 8t 
ad cryftallinum bumorem, cumadnuc didantinterfe, S£ ante- 

auamcocantinangulum : pcrveniuntautemadpr«edidumcr)r- 
ralUnummagisdiftantesinter fe> Sc tendentesadmaiorem an- 
gulum>quampcrvcnirentfinelcntc. Cumigiturprajdfdi radij,- 
dumpervenluntadcryftallinum,adhucdiflent, &magisquam^ 
Don rcfradi a lente , & a cryflalHno magis reftineantur, magisq; 
cc>n vcrgjcntes fianfcfit ut concurran t poft cryflaninumin illa dcf. 
terrainata parte oculi , qu^e requintur i Natura, indc rcro fadS ^ 
dcculTationetcndantadrccinam, & abipf^excipiancur ioconr- 
vcnientidiftantiaa vcrticecohorumildcaqucrn retinaf?tpi<ftu-i 
ra ordinata, & clara. Scdrem Figura mclius explicat: 

Sitobicdumvifibilc ab, quod fupppfitoconvcnicntilocb^ 



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yHe Fie «ohouKBs radiorum , niiUa (uppofita rcfraaionetranswitter» 
IcomX radiosconcurrcntesin e , antcrctinam o D^cd nhnis propei- 

anciv. pCim , & in retina occuparct fpatlum brc^Wimum k l, « no» 
SifEcicns ad cfEciendam fenfationcm phyficam , fcu viBonett 
%m ifteconcurfus ficrct nimis vicinusrctina:, 6cconfeqaeMer 
nbn ficrct vifio, quia conus invcrfus k e l in retina habcrctbaliB 
nimis brcvcm , & eflctia<bsifiHiimU vicina vcrticl e, Ujo^ 
lusapud E eflctniinlsacutus,acpromdcimagoobieainot>dW 
diftinaa. Natura crgo intcrpofuit humorcm cryftaHinom«ft 
io quo per rcfraaioncm radij convcrgunt, & q«VO«\>f«°*2!l' 
cur^ercin E,jamconcurruntin i v.g. Veriim iftecontjr' 
iittfita4lwicnimisvlcinusretin3e,&angulus ciFnmioacW 
&ioniM^«erfus mirr habcatbafin m» nimisbreveta,«fl 
iticiniMtft r5in« ad punaum cdikturfus i, iroago' *f n<»« 
Sihucciara,&diftinaa,e6 quod vcl obicaumeftniihjparrtB. 
vcl nimis rcmotum. vel quia cryftallinus non fecitfiilBcieotweo. 
Terecfcradios (omnia cnim ifta coricartelre polhmt adtdrbao- 
damyilioncmi;fiponaturanteocuIumlcn$conveMPii,^^ 
«enieniliiftantiaijqiiia ifta iens adhuc nwgis fcfHteit nm, 
'SSc^ve?g«efaat,cx 

^xyttallino concurrcbant antea m i, jan» uniontW iii c t. g. 
«titaot>icaumapparetmaius.quiaangalusfitmalor,&^J 

'■■ L/fil-: m-iinrt^m n.i rtMvi rcdnac ; undennafi!OiuntH 



«i; itaobiecrum apparec iniiiua,v|ui<* «wg«.«- »^^7-— . 
ve^lL^ni occupat maiorem partemretinaej undeinwgwn» 
fenfibitis.&bafisrccinxi^incftin conveniefiti ttUK^iaUtlVt- 
iiceiBtiiaiamcftdi(^j^f^agomretina;_ . . . 
r^Sveri^diaalei^Wrcmove^^ 
«fqiicad oT, rcpra:Ie«atquidcm6breaura1fhaio$,ftat^^ 
«Jum maiorf m.non (^lum quia a^^^ '"**aJ'- iSL^SSJS 

dnaoesTemper fiunimaibreiifemper enlm radifexlrcini J^J 
incidcntcs In Ientcm,incaro WK^unt magls rertoai|Kffpeog» 
lari , & ab axc optico , & ita fiunt rcfiraaioocs fcmpcrpfofow»' 

naUtcrmaWcs,&raAic<>nc"""»'{^<*'^^^ 
^Sumi^tYtm ; ^ia cum radij cjclacl«lil«*j 



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p^eniptit s4 cryftalliiiutn » Tel jifn redadi fimt ptmdam 
coocurfus N v.g^veKuntitaproxifni interre^utDonoccupenc 
£tcis fenfibilem partem cryilallini ; unde cum k cryfloltinodebe- 
ant refnngi,& effict magis con vergentes » concurrent nimis pro- 
cnl i retiaa o d, & retioa excipiet bafin coni in verfi nimu re- 
mot^^ verticei& confequenter jam non erit dara imago , fed 
aUculra. 

Qu^d lens adbuc magis removeatur ab ocuIOfAc confti- 
matur ttt si adhuc nugis radios refringet » & concurrere faciet 
tn v> v.g.ubi decu{Iabuatur»& jam decuflati tendentad cryftal- 
Unuin. Etetiamfi pundiim v effetremotum^cryftaUinoyUt 
caditin v decuflatipervenirentadcryftalUoumincbnvenienti 
diftantia ab invicem.& occuparent iOius (enfibilem partems per 
refradioiiem in cryftallino fadam cogerenturquidemadcon- 
vergentiam,non umeniuconvergerepoffentiUt unirentur in 
^nveofcnti diftanda a rettna> &. bafin haberent convenientis 
nagnitodinis: cum ieoim fit decuflatio immediatiaotecryftaU 
ltoum»non poteft oovarefradiocryftdlltDiradiosteodeotesad 
coDvergetuiam itarcfringere,utcoovergerefacfat>& coocurre- 
re in neceftaria diftaotia 4 retina *i pra^fertimii radit pervenientei 
ad cryftaUinum tendantad divergentiam fub angulo fatisam- 
plo^qoalemangulumtransmifit magna refraiSliolentis $. 

Quando igitur lens convexa removetur tantum ab oculo^ 
uttraiumittatradiosadcryftallinum vel Jamproxim^decuffan- 
dos,veIjamdecu(Iatos,iuutconcurrant vel in ipfo cryftallino» 
veIprope,& non fequatur vifio» e6 qu6d cencurfus radiorunt 
non fiat in convenieod diftan tia k retina^tunc fi poft leb tem cdlt- 
vexam conftitu;)Curprope 9culum,fedvanteconcutfum radio- 
nim,ienscava»quaediftetuntum^convexay ut excipjuit radios 
petre6radionem coovexac concurrentes, fednonduinconjuti« 
^^os *, ex vi huiuscavas lentis, 6c ex ipfius figura , refringuntur qui- 
\demiradij, fed Hfrt utperiflafflrenraAionero coavergant min^ 
.qu^m anteaiSC it^ radit Jano prscipitaotes ad concurfumdila- 
-tantur^fciwiftpUiil tmminuityr convergentia^ utjamnoncon- 

SS$ ' ^rrat» 



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hitfihtinh te edttvtnieftti loco, & f)rDporttbfiata diftlMKijt if»^ 
ifhfla-.Uftdfcjamtfficiturutconturfus radiorumfiatproporti^m. 
tus vlfioni, & ihiagoobjeaipingatorbeoeacdarfejn retina. 
VidcFig. Sitobjedlom AjB,>elp«iryum,tcl proculpofitom,<|aDrf 
V I. Iconir. ad oculuttitransmittat radios , qui fuppofita tali diftantia ofa^edi 
adDC\:^m,8tfuppofitataii magnitudme pupillacpericconctt' 
rfirent in e, nuUis adhibitis lcptibus extcrnis.^ lnterpo»at«i 
jaim pfotol bciilo fejis^ronvexa qu* reftaiiftionc decorqoe- 
.iitradibs ild.Cotiyergentiam-,4cquia ptocul.eft ab ocuk»,&ciat 
illoscoocufreT.eitl i, Quia v^r^ punAum i fuppomtur eSe 
velanteCfvftaflitium.vel valdcpnope poftipfum j ex^iDt«)>ofi. 
fiOtJCl huiUshJhitis pcnurbabitur vifioobjcai a B>ttrdi»><qiiia. 
taiiilitjn conveniurtt.adcryftalltoum.nifi veWecoflat^^rtwi. 
deftte:Sad.coovergtntiam ift tali diftantia,utt>on po&itiMdfitii»; 
tefiftinam prout oporcet. lnterpot»atorergo,aOteqBa«ftla*i 
coftcUfrahtitt.i. tensJcava s-F, nonproculabocold. EifcaiB 
lentis f efra^Vione radti dilatantur , & qpi ^am pr^cipiwfcwjrii 
cpticurlumin I, coguntur divergerealfquafttuli3im,«»ifi||i* 
trabitftf concurfas ( pofita femper refra«aionecryftaltiiM 
'ad £ v.g. Ciiti^efgpjamcoftcuTtofiatiftconvenicrittdiii«iL 
2i retirta,lequitur in oculo pidura (5d.vifio ciara» 

Quandolgitur.objeiatum cft.vel nimi^procurp^jfiiom»»* 
nimispa**um,&.non poteft videriliberooctilo.e^iqu^^atftfni- 
r^ dji ipfius eSciant in oculo angulum ftimis dcutumsfitiWDO. 
vcxa po^atUi- anteoculumiromediatc!,non it» adbuc.tMmuMr 
iildii»UtfaCiant angulum fenfibilem,&fiatvffio:fiv»ikiwi»- 
>sgiur JetJs cott vexa ab oculo > ut fiat refraaio maioi- iCtJIUk «- 
ftadHofie rttaiOtl^otittirquidem angrflfls-lroaior UftsaS^^k^d 
coftcurftis wdiotum eftplmis temOTftS&Tefioa.^mgejfcliBfce 
cryftallit4M,Vel ftoft procd} poft^pfti^ 
Si^itur intevpo^oatur lcfts cava,<x rcfci€t\odeipCmMMumf^ 
nc radibfnm >c5ncuffm prodocitur a1li(|uiWfWn>3fc.^*^ 
conveflifefir^pfptrahitur,«citafityHi«. - Bc?crergpcj«d«MA> 
tuJbui' bb^iCtis c0ftwM,*^iconcas^^ 



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ncmtqiiodyolebanioftenilere. HieceftCabKL&mffkiiMtMlk- 
fua :fiquis inelioraprocIuxerjC|ltbeocfracquie(cam« 

C A p u T rii. 

^edditur ratto nonnuliorwn ejUA in comfofitiorit 

"tjfu lelejcofif commHnu iniervem 

ntufit. . 

EX prxcedeocl explicaftione modi, quo tubvs Qpticus Yifuiti 
juvatjcaufapoteft dari omnium >vqua* in compofitiooedcaAl 
iUuis ioterveniunc* Paucaex multis indica